APPSC Polytechnic Lecturers 2025: Lecturers in Government Polytechnic Colleges (Notification 13/2023), Paper II physics

Question Paper Preview
Notations :
1.Options shown in green color and with   icon are correct.
2.Options shown in red color and with   icon are incorrect.



Question Paper Name :                                                             Paper-II- Lecturer in Physics
Subject Name :                                                                   Paper II Lecturer in Physics
Duration :                                                                       150
Change Font Color :                                                              No
Change Background Color :                                                        No
Change Theme :                                                                   No
Help Button :                                                                    No
Show Reports :                                                                   No
Show Progress Bar :                                                              No



                                                              Paper II Lecturer in Physics
Group Number :                                                                   1
Group Id :                                                                       441009719636
Group Maximum Duration :                                                         0
Group Minimum Duration :                                                         150
Show Attended Group? :                                                           No
Edit Attended Group? :                                                           No
Break time :                                                                     0
Group Marks :                                                                    300



                                                              Paper II Lecturer in Physics
Section Id :                                                                     441009725137
Section Number :                                                                 1
Section type :                                                                   Online
Mandatory or Optional :                                                          Mandatory
Number of Questions :                                                            150
Number of Questions to be attempted :                                            150
Section Negative Marks :                                                         0.66
Maximum Instruction Time :                                                       0
Sub-Section Number :                                                             1
Sub-Section Id :                                                                 441009727558
Question Shuffling Allowed :                                                     Yes

Question Number : 1 Question Id : 441009652711 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following statements of accurate and precise measurements is/are correct?

a. An accurate measurement is one in which systematic errors are small
b. A precise measurement is one in which the random errors are small
c. An accurate measurement is one in which the random errors are small
d. A precise measurement is one in which systematic errors are small




Options :
1.
     Only d is correct


2.
     Both b and c


3.
     Both a and b


4.          Only b is correct


Question Number : 2 Question Id : 441009652712 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the following Assertion (A) and Reason (R) and select the correct answer.

Assertion (A): In an analytic function                         , the variables x, y can be replaced by their equivalents in terms of                    and w depends
only on   and does not involve

Reason (R): Since w, by hypothesis, is an analytic function, and u and v satisfy the Cauchy-Riemann conditions.
Options :
1.    A is false but R is true
2.    Both A and R are false
3.    A is true but R is false
4.    Both A and R are true


Question Number : 3 Question Id : 441009652713 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the statement and conclusion and select the correct option.

Statement: Fourier series are extensively used to represent periodic functions, especially wave forms for signal processing.

Conclusion: In the study of electrical circuity, the periodic square wave potential can be expanded by a Fourier series of tangent periodic function.




Options :
1.
 The conclusion stated is probably false


2.
 The conclusion stated is definitely false


3.
 The conclusion stated is definitely true


4.
 No conclusion can be reached

Question Number : 4 Question Id : 441009652718 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following statements regarding accurate and precise measurements is/are correct?

a. An accurate measurement is one in which systematic errors are small
b. A precise measurement is one in which the random errors are small
c. An accurate measurement is one in which the random errors are small
d. A precise measurement is one in which systematic errors are small
Options :
1.    Only d is correct
2.    Both b and c
3.    Both a and b
4.    Only b is correct


Question Number : 5 Question Id : 441009652835 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The integrating factor in the differential equation dy/dx + P(x) y = Q(x) is given by:
Options :
1.    e∫P(x)dx
2.    ∫P(x)dx
3.    e∫Q(x)dx
4.    ∫Q(x)dx


Question Number : 6 Question Id : 441009937258 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
What is the integrating factor (I.F.) for the equation               ?

Options :
1.    ex
2.    e2x
3.    e−2x
4.    x2


Question Number : 7 Question Id : 441009652716 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In 200 tosses of a coin, 115 heads and 85 tails were observed. Find the value of Chi-square     .
Options :
1.    5.4
2.    4.5
3.    2.4
4.    6.2


Question Number : 8 Question Id : 441009652719 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.   A-R , B-Q , C-P , D-T
2.   A-R , B-P , C-Q, D-S
3.   A-P , B-Q , C-R , D-T
4.   A-Q , B-R , C-P , D-T

Question Number : 9 Question Id : 441009652751 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.

2.

3.

4.


Question Number : 10 Question Id : 441009652831 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
What is the determinant of any matrix in the SU(2) group?
Options :
1.   0
2.   1
3.   -1
4.   Any real number


Question Number : 11 Question Id : 441009937275 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
What is the value of the first Hermite polynomial H1(x)?
Options :
1.   0
2.   1
3.   2x
4.   x


Question Number : 12 Question Id : 441009937286 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which series can represent a function with an isolated singularity within an annulus?
Options :
1.   Taylor series
2.   Laurent series
3.   Fourier series
4.   Maclaurin series


Question Number : 13 Question Id : 441009652715 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Fit a straight line for the following data using least square method.

                x                               −1                                0     1   2
                y                               10                                9     7   5
Options :
1.   y = −2.4x + 7.6
2.   y = −4.2x − 6.7
3.   y = −1.7x + 8.6
4.   y = 4.3x + 10.2

Question Number : 14 Question Id : 441009652717 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the normal equations for different Polynomials.
                                      Polynomial                               Normal equations
A.                                                                    P.



B.                                                                    Q.



C.                                                                    R.
D.                                                                    S.



Options :
1.   A-R, B-P , C-S , D-Q
2.   A-P , B-S , C-R , D-Q
3.   A- S, B- P, C-Q, D-R
4.   A-S, B-P, C-R, D-Q


Question Number : 15 Question Id : 441009652752 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.

2.
3.
4.


Question Number : 16 Question Id : 441009652791 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.    1, 1, 0
2.    1, −1, 0
3.    1, −1, 2
4.    2, 0, 1


Question Number : 17 Question Id : 441009652832 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
                                                                           ?

Options :
1.    f(z) has a pole of order 2 at z = 1
2.    f(z) has a simple pole at z = -1
3.    f(z) has an essential singularity at z = 1
4.    f(z) has no poles

Question Number : 18 Question Id : 441009937299 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
What is the residue of f(z)=1/(z2+1) ​at z=i?
Options :
1.    1/(2i)​
2.    1/(−2i)
3.    i
4.    -i


Question Number : 19 Question Id : 441009652750 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Under the conventional consideration of Lorentz transformation for coordinates, which of the following is correct?




Options :
1.    P
2.    Q
3.    R
4.    S


Question Number : 20 Question Id : 441009652828 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Given below is a statement and a conclusion. Select the correct options.

Statement: In a perfectly inelastic collision, two bodies stick together after the collision.
​Conclusion: The kinetic energy of the system is conserved in a perfectly inelastic collision.
 Options :
1.    The conclusion follows the statement
2.    The conclusion does not follow the statement
3.    The conclusion is true if the bodies have equal mass
4.    The conclusion is true only for one-dimensional collisions


Question Number : 21 Question Id : 441009901905 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the following two statements carefully and choose the correct option based on their correctness and the relationship between them.

Statement I: The motion of a planet around the Sun is confined to a plane.
Statement II: The gravitational force between the Sun and planet is a central force.
Options :
1.    Both statements are true, and II explains I
2.    Both are true, but II does not explain I
3.    I is true, II is false
4.    I is false, II is true


Question Number : 22 Question Id : 441009937330 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A boy pushes a wall with a force of 50 N. What is the force exerted by the wall on the boy?
Options :
1.    0N
2.    25 N
3.    50 N
4.    Cannot be determined

Question Number : 23 Question Id : 441009652710 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the given statements and conclusions carefully and decide which of the given conclusion(s) logically follow(s) from the statements.

Statement: In our three-dimensional world, the number n of generalized coordinated for N particles is certainly not more than 3N and, for a constrained system is
usually less.

Conclusion I: Generalized coordinates are dependent variables.
Conclusion II: For a rigid body, the number of particles N may be of order 1023, where a number of generalized coordinates n is 6 which is contradictory to the
statement.
Options :
1.   Only conclusion I follows
2.   Only conclusion II follows
3.   Both the conclusions follow
4.   Neither conclusion I nor II follows


Question Number : 24 Question Id : 441009652748 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The principal moments of inertia of a uniform circular disk of mass (M) and radius (a) are given by:

Options :
1.    1/4 Ma2 , 1/4 Ma2, 1/2 Ma2
2.   1/4 Ma2, 1/2 Ma2, 1/2 Ma2
3.    Ma2, Ma2, 2 Ma2
4.   1/2 Ma2, Ma2, Ma2


Question Number : 25 Question Id : 441009652824 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the coordinates/variable with their properties in periodic motion and select the correct option.
                                          Coordinates/Variable                                                                Properties
                                                                                                                              Appears in the Lagrangian but does not
1                                          Cyclic Coordinate                         a                                        appear in the Hamiltonian equations of
                                                                                                                              motion
                                                                                                                              The conjugate momentum is conserved
2                                          Non-cyclic Coordinate                     b                                        and can be used to find the action
                                                                                                                              variable
                                                                                                                              The coordinate for which the
3                                          Action Variable                           c                                        Lagrangian does not explicitly depend
                                                                                                                              on it
                                                                                                                              Represents the position in the phase
4                                          Generalized Coordinate                    d
                                                                                                                              space that changes with time
Options :
1.   1-c, 2-d, 3-b, 4-a
2.   1-d, 2-c, 3-b, 4-a
3.   1-c, 2-d, 3-a, 4-b
4.   1-a, 2-b, 3-c, 4-d


Question Number : 26 Question Id : 441009652825 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In the context of canonical transformations, the conservation of which quantity is directly related to Liouville's theorem?
Options :
1.   Energy
2.   Momentum
3.   Phase space volume
4.   Angular momentum

Question Number : 27 Question Id : 441009652842 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Let A, B, and C be functions of phase space variables (coordinates and momenta of a mechanical system). If { , } represents the Poisson bracket, the value of {A,
{B,C}} – {{A, B}, C} is given by:
Options :
1.   0
2.   {B, {C, A}}
3.   {A, {C, B}}
4.   {{C, A}, B}


Question Number : 28 Question Id : 441009652844 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A particle of mass 'm' moves in one dimensional potential V(x) = ax3/3 + bx4/4, where a, b > 0. One of the equilibrium points is x = 0. The angular
frequency of the small oscillations about the other equilibrium point is:

Options :
1.

2.

3.

4.


Question Number : 29 Question Id : 441009652826 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the pseudo forces with their properties in central force motion and select the correct option.
                                                                                                                             Properties in central force
                                          Pseudo forces

                                                                                                                             Influences the particle's motion by
1                                         Centrifugal force                          a                                       changing its apparent velocity relative to
                                                                                                                             the rotating frame.
                                                                                                                             Acts perpendicular to the direction of
2                                         Coriolis Force                             b                                       the particle's velocity and is dependent
                                                                                                                             on the rotation rate of the frame
                                                                                                                             Causes a pseudo force that is
3                                         Linear Acceleration Force                  c                                       proportional to the linear acceleration of
                                                                                                                             the reference frame
                                                                                                                             Appears as a result of inertia and is used
4                                         d'Alembert's Force                         d                                       to transform a dynamic problem into a
                                                                                                                             static one in a non-inertial frame
Options :
1.   1-b, 2-a, 3-c, 4-d
2.   1-a, 2-b, 3-c, 4-d
3.   1-c, 2-b, 3-d, 4-a
4.   1-b, 2-a, 3-d, 4-c


Question Number : 30 Question Id : 441009652829 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.   Stable
2.   Unstable
3.   Conditionally stable depending on the length L
4.   Neutrally stable

Question Number : 31 Question Id : 441009652841 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In a system described by the Lagrangian L = L( q , q. , t), where q ​represents generalized coordinates and q. represents generalized velocities, the Euler-Lagrange
                                                i   i              i                                            i
equation is used to find the equations of motion. Given that L is explicitly dependent on time t, which of the following correctly expresses the Euler-Lagrange
equation?

Options :
1.   d/dt ( ∂L /∂ q. ) + ∂L / ∂q = 0
2.   d/ dt ( ∂L /∂ q. ) − ∂L /∂q = 0
3.   d /dt ( ∂L /∂q ) − ∂L /∂ q. = 0
4.   d /dt ( ∂L /∂q ) + ∂L /∂ q. = 0


Question Number : 32 Question Id : 441009901940 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the following between Situation in Non-Inertial Frame (Column A) and Pseudoforce experienced (Column B).

                                          Column A                                                                           Column B
                                          A person in an accelerating elevator going
A                                                                                      1                                     Rightward force
                                          up
B                                         A person sitting in a car taking a left turn 2                                     Backward force
                                          A mass hanging from a string in a car
C                                                                                     3                                      Downward force
                                          accelerating forward
                                          A person standing on a rotating merry-go-
D                                                                                   4                                        Outward (radially away) force
                                          round
Options :
1.   A→3B→1C→2D→4
2.   A→4B→1C→2D→3
3.   A→3B→2C→1D→4
4.   A→3B→4C→2D→1


Question Number : 33 Question Id : 441009937352 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
For a 1D potential V(x), the equilibrium point x0 is stable if ________.
Options :
1.   V′(x0)=0 and V′′(x0)<0
2.   V′(x0)≠0
3.   V′(x0)=0 and V′′(x0)>0
4.   V(x0)=0


Question Number : 34 Question Id : 441009652823 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following conditions must be met for Gauss's Law to be useful in calculating the electric field?
Options :
1.   The charge distribution must be uniform
2.   The surface must be symmetrical, like a sphere or cylinder
3.   The charges must be in motion
4.   The surface must be non-conductive

Question Number : 35 Question Id : 441009652846 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A statement is given followed by two conclusions. Identify which of the given conclusions is/are true based on the following statement.

Statement: According to the Biot-Savart Law, the magnetic field B at a point in space due to a current-carrying wire segment is proportional to the magnitude of the
current and the length of the wire segment.

Conclusions:
(I) The magnetic field is directly proportional to the current flowing through the wire.
(II) The magnetic field is inversely proportional to the distance from the wire segment.
Options :
1.    Only conclusion I is true.
2.    Only conclusion II is true.
3.    Both conclusions I and II are true.
4.    Neither conclusion I nor II is true.


Question Number : 36 Question Id : 441009652849 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The velocity of plane electromagnetic wave in vacuum is given by:
Options :
1.

2.

3.

4.


Question Number : 37 Question Id : 441009909663 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following conclusions follow(s) with respect to the given statement?

Statement: Biot Savart law is used to determine the magnetic field at the centre of a circular current carrying loop.

Conclusion I: Magnetic field at the centre is inversely proportional to the radius of the loop.
Conclusion II: Magnetic field at the centre is directly proportional to the square of the radius of the loop.
Options :
1.    Only conclusion I follows
2.    Only conclusion II follows
3.    Neither I nor II follows
4.    Both I and II follow


Question Number : 38 Question Id : 441009937432 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following will NOT contribute to the net electric flux through a closed surface according to Gauss’s law?
Options :
1.    A point charge located outside the surface
2.    A point charge enclosed within the surface
3.    A uniformly distributed charge enclosed by the surface
4.    A conducting shell carrying a net charge placed entirely inside the surface


Question Number : 39 Question Id : 441009652744 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Identify the polarization of the wave given that Ex = 2 cos wt and Ey = cos wt.
Options :
1.    Elloptical
2.    Parallel
3.    Circular
4.    Linear

Question Number : 40 Question Id : 441009652745 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match List-I with List-II.

 List-I                                                                                List-II
 Electromagnetic waves                                                                 Wavelength (m)
 P. Microwaves                                                                         A. 105
 Q. Gamma rays                                                                         B.10−1
 R. Ultraviolet waves                                                                  C. 10−7
 S. RF waves                                                                           D. 10−12

Choose the correct answer from the options given below.
Options :
1.     P-B, Q-D, R-A, S-C
2.     P-B, Q-D, R-C, S-A
3.     P-C, Q-D, R-B, S-A
4.     P-D, Q-A, R-C, S-B


Question Number : 41 Question Id : 441009652789 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The coherence length of an electromagnetic wave is ___________.
Options :
1.     the distance over which the wave maintains a fixed amplitude
2.     the maximum distance over which two points on the wavefront are coherent
3.     the distance light travels in one period
4.     the distance over which the wave's phase is maintained in a fiber optic cable


Question Number : 42 Question Id : 441009652790 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the given statement and conclusion carefully and select the correct option.

Statement: The Brewster angle is the angle of incidence at which no reflection occurs for light polarised parallel to the plane of incidence.

Conclusion: At Brewster's angle, the reflected wave is perfectly polarized perpendicular to the plane of incidence.

Options :
1.    The statement and conclusion are true, and the conclusion is a correct explanation of the statement.
2.    The statement and conclusion are true, and the conclusion is not correct explanation of the statement.
3.    The statement is true but the conclusion is false.
4.    The statement is false and the conclusion is true.


Question Number : 43 Question Id : 441009652851 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A point charge q is performing simple harmonic oscillations of amplitude A at angular frequency ω. Using Larmor’s formula, the power radiated by the charge is
proportional to:
Options :
1.     q w 2 A2
2.     q w 4 A2
3.     q 2 w 2 A2
4.     q 2 w 4 A2


Question Number : 44 Question Id : 441009902772 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the statement and the conclusions that follow. Select which of the conclusions logically follow(s) from the statement.

Statement: When an electromagnetic wave strikes the boundary between two media at normal incidence, part of it gets reflected and part transmitted.
Conclusion I: The reflection depends on the difference in refractive indices of the two media.
Conclusion II: Total reflection occurs only if the second medium is a perfect conductor.
Options :
1.     Only Conclusion I follows.
2.     Only Conclusion II follows.
3.     Both Conclusion I and II follow.
4.     Neither Conclusion I nor II follows.

Question Number : 45 Question Id : 441009937490 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The coherence length of a wave is the distance over which the __________.
Options :
1.     amplitude drops to zero
2.     frequency changes
3.     phase correlation is maintained
4.     polarization remains unchanged


Question Number : 46 Question Id : 441009652726 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Calculate the reflection coefficient for the normal incidence of electromagnetic waves polarized parallel to the plane of incidence. (Consider                    )



Options :
1.     0.025
2.     0.046
3.     0.04
4.     0.03


Question Number : 47 Question Id : 441009652788 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Diffraction occurs when electromagnetic waves ___________.
Options :
1.     Pass through a medium with varying refractive index
2.     Reflect off a surface
3.     Encounter an obstacle or opening that is comparable in size to their wavelength
4.     Refract at the interface of two different media


Question Number : 48 Question Id : 441009652848 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A circular conducting ring of radius R rotates with constant angular velocity ω about its diameter placed along the x -axis. A uniform magnetic field B is applied along
the y -axis. If at time t = 0, the ring is entirely in the xy-plane, the emf induced in the ring at time t > 0 is:
Options :
1.
2.
3.
4.


Question Number : 49 Question Id : 441009652852 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the quantities related to retarded potentials (left column) with their correct definitions (right column) and select the correct option.

                                       Quantities                                                                                  Definitions

 (P)                                           Retarded time (tr)                           (A)                                           (1/4peo)(r(r', tr)/r) dt’



 (Q)                                           Retarded vector potential A (r, t)           (B)                                            - Ñ V (r, t) - ∂A (r, t)/∂t



 (R)                                           Retarded electric potential V (r, t)         (C)                                           (1/4peo)(J(r', tr)/r) dt’



 (S)                                           Electric field E(r, t)                       (D)                                            t - r/c


Options :
1.     P – B, Q – A, R – C, S - D
2.     P – D, Q – C, R – A, S - B
3.     P – D, Q – B, R – C, S - A
4.     P – C, Q – A, R – B, S - D

Question Number : 50 Question Id : 441009937501 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which EM wave is most likely to undergo significant diffraction around buildings?
Options :
1.   Gamma rays
2.   X-rays
3.   Visible light
4.   Radio waves


Question Number : 51 Question Id : 441009965725 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the following quantities with respect to retarded potentials
 List A (Quantities)                                                                  List B (Description)
 P. Retarded scalar potentials                                                        A. Depends on source charge, its position, and retarded time
 Q. Guage choice                                                                      B. Ensures scalar and vector potentials satisfy wave equations
 R. Lienard Wiechert Potentials                                                       C. Solutions of Maxwell’s equations for a moving point charge
Options :
1.   P-A, Q-B, R-C
2.   P-C, Q-B, R-A
3.   P-B, Q-A, R-C
4.   P-A, Q-C, R-B


Question Number : 52 Question Id : 441009652708 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Consider the statement and answer which of the given conclusions can be derived based on the statement.

Statement: Matter has dual 'Wave-particle' nature. In some cases, it behaves like a particle, while in other cases like a wave process.

Conclusion: The particle and wave properties are strictly complementary.
Options :
1.   The conclusion stated is probably false
2.   The conclusion stated is definitely false
3.   The conclusion stated is definitely true
4.   No conclusion can be reached


Question Number : 53 Question Id : 441009652777 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The Klein-Gordon equation is derived from which fundamental relativistic relation?
Options :
1.   E 2 = p 2 + m2
2.   E 2 = p 2 c 2 + m2 c 4
3.   E = mc2
4.   E=pc


Question Number : 54 Question Id : 441009652787 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The energy levels of a particle in a box are ____________.
Options :
1.   Equally spaced
2.   Inversely proportional to the quantum number n
3.   Proportional to the square of the quantum number n
4.   Independent of the quantum number n


Question Number : 55 Question Id : 441009938646 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The quantum number n for the particle in a box:
Options :
1.   Can be zero or positive
2.   Can take any value
3.   Starts from 1
4.   Starts from -1

Question Number : 56 Question Id : 441009938700 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The Klein-Gordon equation is a/an ___________.
Options :
1.    first-order differential equation in time
2.    second-order differential equation in both space and time
3.    first-order in space and second-order in time
4.    algebraic equation


Question Number : 57 Question Id : 441009652705 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the following Assertion and Reason and select the correct option.

Assertion (A): Fermi Golden rule has been successfully employed to calculate the transition probabilities between two states and their corresponding life times.
Reason (R): The intensities of spectral lines are proportional to transition probabilities as they depend on the rate of transfer of energy between electromagnetic field
and the system.
Options :
1.    Both A and R are false
2.    Both A and R are true
3.      A is false but R is true
4.      A is true but R is false


Question Number : 58 Question Id : 441009652706 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the following particle types and their corresponding wave function properties with the correct characteristics and behaviours.
Particle Types and Wave Function Properties                                                       Characteristics and Behaviors
A. Identical particles with half integer spins                                                    P. Antisymmetric wave functions
B. Identical particles with integer spins                                                         Q. Symmetric wave functions
C. Particles that are described by antisymmetric wave functions                                   R. can occupy a state with any number
D. Particles that are described by symmetric wave functions                                       S. can occupy a state with 0 or 1.
Options :
1.    A-P , B- Q, C-S , D-R
2.    A-Q , B- P, C-S , D-R
3.    A-P , B- Q, C-R , D-S
4.     A-P , B- R, C-S , D-Q


Question Number : 59 Question Id : 441009652707 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.    6.68 fm2
2.    6.25 π fm2
3.    4.8 π fm2
4.    2.6 fm2


Question Number : 60 Question Id : 441009652779 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following statements is true regarding the application of perturbation theory to systems of identical particles?
Options :
1.    The Pauli exclusion principle requires that the total wavefunction for identical fermions must be symmetric
2.    The perturbation Hamiltonian does not affect the symmetry properties of the wavefunction for identical particles
3.    The perturbation theory must account for the symmetry of the wavefunction due to the indistinguishability of the particles
4.    The perturbation theory only applies to systems of non-interacting particles

Question Number : 61 Question Id : 441009652780 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In perturbation theory, which of the following is generally treated as the unperturbed Hamiltonian H0 in the case of the hydrogen atom?
Options :
1.   The full Hamiltonian including the electron-electron repulsion
2.   The Hamiltonian excluding relativistic effects and electron-electron repulsion
3.   The Hamiltonian that includes spin-orbit coupling
4.   The Hamiltonian that includes the interaction with an external electric field


Question Number : 62 Question Id : 441009652855 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Consider the following statements and choose the correct answer from the options given.

Statement A: In perturbation theory, it is easier to compute the changes in the energy levels and wavefunctions with a scheme of successive corrections to the zero-
field values.
Statement B: Perturbation theory is applicable if the problem at hand cannot be solved exactly, but can be formulated by adding a "small" term to the mathematical
description of the exactly solvable problem.
Options :
1.   Statement A is true and B is false
2.   Statement B is true and A is false
3.   Both the statements are true
4.   Both the statements are false


Question Number : 63 Question Id : 441009938670 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In non-degenerate perturbation theory, the first-order correction to the energy is ____________.
Options :
1.   zero
2.   the expectation value of the perturbation
3.   the square of the perturbation
4.   imaginary


Question Number : 64 Question Id : 441009938687 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
For two identical fermions in the same quantum state, the total wavefunction is _________.
Options :
1.   symmetric
2.   antisymmetric
3.   zero
4.   real and non-zero


Question Number : 65 Question Id : 441009652775 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The Dirac equation was formulated to describe which type of particles?
Options :
1.   Spin-0 particles
2.   Spin-1 particles
3.   Spin-1/2 particles
4.   Spin-2 particles


Question Number : 66 Question Id : 441009652782 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the given statement and conclusion carefully and select the correct option.

Statement: The Stern-Gerlach experiment can be used to measure the spin components of electrons and thus provides information about the spin projection along the
direction of the magnetic field.
​Conclusion: The results of the Stern-Gerlach experiment depend on the strength of the magnetic field used.
 Options :
1.   Both the statement and conclusion are correct, and the conclusion follows from the statement
2.   Both the statement and conclusion are correct, but the conclusion does not follow from the statement
3.   The statement is correct, but the conclusion is incorrect
4.   The statement is incorrect, but the conclusion is correct

Question Number : 67 Question Id : 441009902779 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the following statement and conclusion carefully and choose the correct option.

Statement (S): In the Stern–Gerlach experiment with silver atoms, the observed splitting of the atomic beam into two components implies that the electron has an
intrinsic spin.
Conclusion (C): The central potential in the atom is responsible for the observed deflection pattern.
Options :
1.    Both S and C are true, and C is the correct explanation of S.
2.    Both S and C are true, but C is not the correct explanation of S.
3.    S is true, but C is false.
4.    S is false, but C is true.


Question Number : 68 Question Id : 441009938707 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The negative energy solutions of the Dirac equation led to the prediction of __________.
Options :
1.    positrons
2.    neutrons
3.    photons
4.    quarks


Question Number : 69 Question Id : 4410091000130 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following depicts the correct relation between momentum and position wave function?
Options :
1.


2.

3.

4.



Question Number : 70 Question Id : 441009652765 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the given Assertion and Reason carefully and select the correct option.

Assertion (A): The principle of detailed balance ensures that in equilibrium, the rate of transition from state i to state j is equal to the rate of transition from state j to
state i.

Reason (R): Detailed balance is a condition for a system to be in thermodynamic equilibrium, which implies that the forward and backward transition rates between
any two states are equal.
Options :
1.    Both Assertion and Reason are true, and the Reason is the correct explanation for the Assertion
2.    Both Assertion and Reason are true, but the Reason is not the correct explanation for the Assertion
3.    Assertion is true, but the Reason is false
4.    Assertion is false, but the Reason is true


Question Number : 71 Question Id : 441009652767 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the following statement and conclusion and select the correct option.

Statement: The classical ideal gas law is derived from statistical mechanics by considering a system of non-interacting particles.
Conclusion: The ideal gas law applies to systems where the interactions between particles are negligible.
Options :
1.    Statement and Conclusion are true
2.    Statement is true, and Conclusion is false
3.    Statement is false, and Conclusion is true
4.    Statement is false, and Conclusion is false

Question Number : 72 Question Id : 441009652774 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.   1-b, 2-d, 3-c, 4-a
2.   1-b, 2-d, 3-a, 4-c
3.   1-d, 2-b, 3-c, 4-a
4.   1-a, 2-c, 3-b, 4-d


Question Number : 73 Question Id : 441009902790 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the following Thermodynamic Expressions and their Partial Derivatives.
                                            Thermodynamic Expressions                                                         Value
A                                           (∂U/∂V)S                                1                                         T
B                                           (∂H/∂S)P                                2                                         −S
C                                           (∂G/∂T)P                                3                                         −P
Options :
1.   A-3, B-1, C-2
2.   A-1, B-2, C-3
3.   A-1, B-3, C-2
4.   A-3, B-2, C-1


Question Number : 74 Question Id : 441009902817 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the statement and the conclusions that follow. Select which of the conclusions logically follow(s) from the statement.
Statement: Classical statistics assumes particles are distinguishable.
Conclusion I: The Maxwell-Boltzmann distribution is derived under this assumption.
Conclusion II: Classical statistics fails at low temperatures or high densities.
Options :
1.   Only Conclusion I follows.
2.   Only Conclusion II follows.
3.   Both Conclusion I and II follow.
4.   Neither Conclusion I nor II follows.


Question Number : 75 Question Id : 441009902819 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R).

Assertion (A): In thermal equilibrium, the rate of upward transitions equals the rate of downward transitions between two energy levels.
Reason (R): The principle of detailed balance ensures that every elementary process is balanced by its reverse process in equilibrium.
Options :
1.   Both A and R are true and R is the correct explanation of A.
2.   Both A and R are true but R is not the correct explanation of A.
3.   A is true but R is false.
4.   A is false but R is true.

Question Number : 76 Question Id : 441009652704 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Consider the statement and answer which of the given conclusions can be derived base on the statement.

Statement: Work done on the body in a reversible process at constant temperature is the change of its Helmholtz free energy.

Conclusion: Helmholtz free energy measures the useful work obtainable from a thermodynamic system at a constant temperature and pressure.




Options :
1.
 The conclusion stated is probably false


2.
 The conclusion stated is definitely false


3.
 The conclusion stated is definitely true


4.
 No conclusion can be reached.




Question Number : 77 Question Id : 441009652769 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.    1-b, 2-c, 3-d, 4-a
2.    1-b, 2-c, 3-a, 4-d
3.    1-c, 2-b, 3-d, 4-a
4.    1-b, 2-d, 3-c, 4-a


Question Number : 78 Question Id : 441009652857 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The minimum attainable pressure of an ideal gas, in the process given by T = a + bV2, is

Options :
1.

2.

3.

4.



Question Number : 79 Question Id : 441009652861 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The individual systems of a canonical ensemble are separated by:

Options :
1.    rigid and permeable walls
2.    non-rigid and permeable walls
3.    rigid, impermeable and conducting walls
4.    non-rigid, impermeable and non-conducting walls

Question Number : 80 Question Id : 441009902800 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match List I (Concepts/Quantities) with List II (Corresponding Descriptions/Formulas) for a Grand Canonical Ensemble.
                                          Concepts/Quantities                                                               Descriptions
A                                         Grand Partition Function                  1                                       μ

B                                         Average number of particles ⟨N⟩           2

C                                         Chemical potential                        3                                       (∂lnZ/∂μ)T,V
D                                         Probability of microstate (N,Ei)          4                                       1/(Z.eβ(μN−Ei))
Options :
1.   A–2, B–3, C–1, D–4
2.   A–2, B–3, C–4, D–1
3.   A–3, B–2, C–1, D–4
4.   A–1, B–2, C–3, D–4


Question Number : 81 Question Id : 441009993442 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following expressions correctly connects canonical partition function and Helmholtz free energy?
Options :
1.   F = -kTlnZ
2.   F = kT/lnZ
3.   F = kTZ
4.   F = -kTZ


Question Number : 82 Question Id : 441009652735 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66

                      ,



Options :

1.


2.


3.


4.



Question Number : 83 Question Id : 441009652859 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R).

Assertion (A): The phase space usually consists of all possible values of position and momentum variables.
Reason (R): In a phase space, every degree of freedom or parameter of the system is represented as an axis of a multidimensional space.
Options :
1.   Both (A) and (R) are true and (R) is the correct explanation of (A).
2.   Both (A) and (R) are true and (R) is not the correct explanation of (A).
3.   (A) is true, but (R) is false.
4.   (A) is false, but (R) is true.

Question Number : 84 Question Id : 441009652860 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Consider the following statements:

Statement A: A microstate is a specific configuration of a system that describes the precise positions and momenta of all the individual particles or components that
make up the system.
Statement B: The macrostate of a system refers to its macroscopic properties, such as its temperature, pressure, volume, and density.

In the context of the above two statements, which of the following options is correct?
Options :
1.   Statement A is true and B is false
2.   Statement B is true and A is false
3.   Both the statements are true
4.   Both the statements are false


Question Number : 85 Question Id : 441009965703 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following conclusions follow(s) with respect to the given statement?

Statement: For a system in equilibrium, all accessible microstates corresponding to a given macrostate are equally probable.

Conclusion I: In equilibrium state both entropy and thermodynamic probability is maximum.
Conclusion II: The entropy of a system is a function of the probability of the state of the system.
Options :
1.   Only conclusion I follows
2.   Only conclusion II follows
3.   Neither I nor II follows
4.   Both I and II follow


Question Number : 86 Question Id : 441009965705 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Select the option that is correct regarding the following two statements labelled Assertion (A) and Reason (R).

Assertion (A): In classical system, the number of accessible microstates in phase space are infinite.
Reasoning (R): Classical systems cannot attain equilibrium state and hence infinite accessible microstates.
Options :
1.   Both A and R are true, and R is the correct explanation of A.
2.   Both A and R are true, but R is not the correct explanation of A.
3.   A is true, but R is false.
4.   A is false, but R is true.


Question Number : 87 Question Id : 441009652792 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The photo generated current increases with the increase of:

A. diode current
B. temperature
Options :
1.   Only A
2.   Only B
3.   Both A and B
4.   Neither A nor B

Question Number : 88 Question Id : 441009652797 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the following and select the correct option.
 Column 1                                                                             Column 2
      1. Amplitude modulation                                                             A. Angle modulation technique

      2. Frequency modulation                                                              B. Varies the frequency of the carrier signal

                                                                                           C. Varies the amplitude of the carrier signal

                                                                                           D. Double sideband full carrier technique

Options :
1.   1-A,B; 2-C,D
2.   1-C,D; 2-A,B
3.   1-A,C; 2-B,D
4.   1-C,B; 2-A,D


Question Number : 89 Question Id : 441009652800 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following statements is INCORRECT for an ideal operational amplifier?
Options :
1.   Open loop voltage gain is infinite
2.   Common mode rejection ratio is infinite
3.   Input resistance is infinite
4.   Input offset voltage is infinite


Question Number : 90 Question Id : 441009910017 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following conclusions follow(s) with respect to the given statement?

Statement: An ideal operational amplifier has an infinite bandwidth.

Conclusion I: The differential gain drops at low frequencies.
Conclusion II: It can amplify the input signal of any frequency with the same differential gain.
Options :
1.   Only conclusion I follows
2.   Only conclusion II follows
3.   Neither I nor II follows
4.   Both I and II follow


Question Number : 91 Question Id : 441009965618 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the following digital communication system components with their description.
 List A (Communication system components)                                             List B (Description)
 P. Transducer                                                                        A. Combines message signal with carrier wave
 Q. Encoder                                                                           B. Recovers original signal from received code
 R. Modulator                                                                         C. Input signal converts into transmittable code
 S. Decoder                                                                           D. Converts signal to electrical form
Options :
1.   P-C, Q-A, R-D, S-B
2.   P-A, Q-C, R-B, S-D
3.   P-B, Q-D, R-A, S-C
4.   P-D, Q-C, R-A, S-B


Question Number : 92 Question Id : 441009652776 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
How many diodes are used for making the bridge rectifier?

Options :
1.   One
2.   Two
3.   Three
4.   Four

Question Number : 93 Question Id : 441009652781 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the assertion followed by the reasoning. Select the correct answer from the given options.

Assertion (A) – JFET’s are suitable then Bipolar junction transistor for the use in ICs.
Reason (B) – JFET’s are typically much smaller than bipolar transistor in size.



Options :
1.    Only A is correct
2.    Only B is correct
3.    Both A and B are correct
4.    Neither A nor B is correct


Question Number : 94 Question Id : 441009652783 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
As shown in the figure, an AC amplifier's midband voltage gain is 200 and cutoff frequencies are f1= 20 Hz and f2 = 20KHz. Find the voltage gain if the input frequency is 5 Hz.




Options :
1.    28.5
2.    38.5
3.    48.5
4.    58.5


Question Number : 95 Question Id : 441009652795 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
If in the following given figure of D/A converter A1, A2, A5 and A7 inputs are high and all other inputs are low then what is the output voltage (V0)?




Options :
1.    5.69 V
2.    7.89 V
3.    8.89 V
4.    9.69 V

Question Number : 96 Question Id : 441009902824 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the following statements carefully and choose the correct option.

Statement I: In an n-channel MOSFET, increasing the gate voltage increases the conductivity of the channel.
Statement II: A positive gate voltage enhances the formation of an n-type channel in enhancement-mode MOSFETs.
Options :
1.   Both statements are true, and Statement II is the correct explanation of Statement I
2.   Both statements are true, but Statement II is not the correct explanation of Statement I
3.   Statement I is true, Statement II is false
4.   Both statements are false


Question Number : 97 Question Id : 441009945015 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A field-effect transistor (FET) operates primarily by controlling the ___________.
Options :
1.   base current
2.   collector voltage
3.   gate voltage
4.   emitter resistance


Question Number : 98 Question Id : 441009945033 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The resolution of an n-bit DAC is defined as ___________.
Options :
1.   the maximum output voltage
2.   the number of bits converted per second
3.   the smallest change in output voltage corresponding to a 1-bit change
4.   the sampling rate


Question Number : 99 Question Id : 441009652796 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Quantization error of 8 bit A/D and 10-bit A/D converter are respectively equal to:

Options :
1.   0.1 % and 0.4 %
2.   1 % and 4 %
3.   0.4 % and 0.1 %
4.   4 % and 1%


Question Number : 100 Question Id : 441009652798 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66




Options :
1.   3.6 watt
2.   7.2 watt
3.   14.4 watt
4.   28.8 watt


Question Number : 101 Question Id : 441009945040 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following modulation techniques requires the least bandwidth for transmission?
Options :
1.   Amplitude Modulation
2.   Frequency Modulation
3.   Phase Modulation
4.   Single Sideband Modulation

Question Number : 102 Question Id : 441009652760 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
What is the primary purpose of optical pumping in laser systems?
Options :
1.    To cool the laser medium
2.    To excite atoms or molecules from the ground state to a higher energy state
3.    To generate coherent light directly
4.    To align the polarisation of light


Question Number : 103 Question Id : 441009652865 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The splitting of spectral lines in a weak magnetic field involves the Landé g-factor. This factor is due to:

Options :
1.    Relativistic correction
2.    Pauli’s exclusion principle
3.    Larmor precession
4.    Spin-Orbit coupling


Question Number : 104 Question Id : 441009945070 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Optical pumping is most effective in systems where:
Options :
1.    The lifetime of the lower laser level is longer than that of the upper level
2.    Thermal equilibrium exists between energy levels
3.    Metastable states are present
4.    The transition is forbidden


Question Number : 105 Question Id : 441009978448 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The relativistic variation of mass of electron in Hydrogen atom leads to ___________.
Options :
1.    An increase in all energy levels equally
2.    A decrease in all energy levels equally
3.    Removal of degeneracy between states of same n and different l
4.    An increase in ground state energy


Question Number : 106 Question Id : 441009652720 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following properties of isotope shift of Hydrogen and Deuterium is/are INCORRECT?

a. Isotope shift is referred to the change in energy levels of electrons in atoms or molecules that occur for different isotopes.
b. The energy shift between the Hydrogen and the Deuterium isotope can be explained with the mass effect.
c. The change in wavelength of the corresponding spectral lines can be detected with a medium resolution spectrometer.
d. Deuterium lines are shifted to longer wavelengths corresponding to hydrogen lines.
Options :
1.    Only c
2.    Both b and c
3.    Only d
4.    Both c and d


Question Number : 107 Question Id : 441009652763 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In the presence of a magnetic field, the splitting of spectral lines in the Zeeman effect occurs due to the interaction of the magnetic field with _______________.
Options :
1.    The nucleus of the atom
2.    The electron's spin only
3.    The electron's orbital motion only
4.    Both the electron's spin and orbital motion

Question Number : 108 Question Id : 441009652863 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The experiment that first detected the spin of electron is:
Options :
1.    Michelson-Morley experiment
2.    Davisson-Germer experiment
3.    Stern-Gerlach experiment
4.    Rutherford experiment


Question Number : 109 Question Id : 441009652866 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Consider the following statements:

Statement A: All spectral lines have a natural line width.
Statement B: The natural line width of spectral lines is due to Doppler effect.

In the context of the above two statements, which of the following options is correct?
Options :
1.    Statement A is true and B is false
2.    Statement B is true and A is false
3.    Both the statements are true
4.    Both the statements are false


Question Number : 110 Question Id : 441009945044 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
How many Zeeman components are observed in the spectral line corresponding to the transition l = 1 to l = 0 in hydrogen under the normal Zeeman effect?
Options :
1.    1
2.    2
3.    3
4.    4


Question Number : 111 Question Id : 441009965306 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following conclusions follow(s) with respect to the given statement?

Statement: Greater the mean life of an atom in a particular state, the smaller is the energy breadth of that state.

Conclusion I: The ground states and metastable states of atoms are sharp, whereas other states are broad.
Conclusion II: Spectral lines arising from longer lived states always have higher intensity.
Options :
1.    Only conclusion I follows
2.    Only conclusion II follows
3.    Neither I nor II follows
4.    Both I and II follow


Question Number : 112 Question Id : 441009970180 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The spin multiplicity of terms of one electron atom is _______.
Options :
1.    2S
2.    2S+1
3.    2S-1
4.    S(S+1)

Question Number : 113 Question Id : 441009652703 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the given statement and conclusion and select the correct option.

Statement: Selection rules for Hydrogen fine structure of H-alpha line (n=3 → n=2) are ∆l=±1 and ∆j=0, ±1

Conclusion-I: Selection rules allow four transitions

Conclusion-II: Selection rules indicate that transitions are allowed between any S level and any P level.
Options :
1.   Only conclusion I follows
2.   Only conclusion II follows
3.   Both conclusion I and II follow
4.   Neither conclusion I nor II follows


Question Number : 114 Question Id : 441009652762 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following quantum numbers plays a crucial role in determining the splitting pattern of energy levels in the Stark effect for hydrogen?
Options :
1.   Principal quantum number (n)
2.   Orbital angular momentum quantum number (l)
3.   Magnetic quantum number (m)
4.   Parity quantum number


Question Number : 115 Question Id : 441009652862 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The shape of the orbital, whose “l” is 1, is:
Options :
1.   Spherical
2.   Double dumbbell
3.   Dumbbell
4.   Triangular


Question Number : 116 Question Id : 441009945052 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The energy shift ΔE due to the linear Stark effect is proportional to __________. (Where E is the external electric field strength)
Options :
1.   E
2.   E2
3.   √E
4.   1/E


Question Number : 117 Question Id : 441009970153 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
How many quantum states can exist for orbital angular quantum number l =2, when both the magnetic quantum number ml and spin quantum number ms are
considered?
Options :
1.   10
2.   16
3.   32
4.   12


Question Number : 118 Question Id : 441009652810 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The quantum of energy of an ____________ wave is called phonon. Phonons are _________ and ___________.
Options :
1.   elastic, fermion, conserved
2.   elastic, boson, not conserved
3.   elastic, boson, conserved
4.   electromagnetic, boson, conserved

Question Number : 119 Question Id : 441009652817 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In the free electron theory developed by Drude and Lorentz, the mean free path λ varies with temperature T as:
Options :
1.

2.
3.

4.


Question Number : 120 Question Id : 441009652819 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R).

Assertion (A): Metals are good conductors of electricity.
Reason (R): In metals, the valence band and conduction band overlap, allowing free movement of electrons.
Options :
1.   Both A and R are true, and R is the correct explanation of A.
2.   Both A and R are true, and R is not the correct explanation of A.
3.   A is true, but R is false.
4.   A is false, but R is true.


Question Number : 121 Question Id : 441009945138 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
According to the Drude model, the thermal conductivity κ and electrical conductivity σ are related by __________.
Options :
1.   Wiedemann–Franz Law
2.   Stefan–Boltzmann Law
3.   Ohm’s Law
4.   Planck’s Radiation Law


Question Number : 122 Question Id : 441009951374 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Select the option that is correct regarding the following two statements labelled Assertion (A) and Reason (R).

Assertion (A): In a periodic potential lattice, the electron energy values are discontinuous, separated into allowed and forbidden bands.
Reason (R): The periodic potential experienced by electrons in a crystal causes their wavefunctions to interfere constructively and destructively, creating energy gaps.
Options :
1.   Both A and R are true, and R is the correct explanation of A.
2.   Both A and R are true, but R is not the correct explanation of A.
3.   A is true, but R is false.
4.   A is false, but R is true.


Question Number : 123 Question Id : 441009652808 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
At low temperatures T, the specific heat of a normal metal has the form AT + BT3 (A and B are constants), in which the linear term is due to:
Options :
1.   Lattice vibration only
2.   Electronic excitations only
3.   Both lattice vibration and electronic excitations
4.   Neither electronic excitations nor lattice vibration


Question Number : 124 Question Id : 441009652809 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The lowest energy of an electron confined to move in a three-dimensional potential box of length 0.5 ×10−10 metre is equal to:
Options :
1.
2.
3.
4.

Question Number : 125 Question Id : 441009652814 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
For which of the following planes are diffraction peaks for the bcc structure NOT allowed?
Options :
1.    (121)
2.    (123)
3.    (−122)
4.    (220)


Question Number : 126 Question Id : 441009652815 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Select the option that is true regarding the following two statements labelled Assertion (A) and Reason (R).

Assertion (A) – The reciprocal lattice is used to describe the periodicity of a crystal in reciprocal space.
Reason (R) – Reciprocal lattice of BCC lattice is always a BCC lattice.

Options :
1.    Both A and R are true, and R is the correct explanation of A.
2.    Both A and R are true, and R is not the correct explanation of A.
3.   A is true, but R is false.
4.   A is false, but R is true.


Question Number : 127 Question Id : 441009945074 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
For a simple cubic structure with one atom per unit cell at the origin, the structure factor is:
Options :
1.    Zero
2.    f
3.    2f
4.    f/2


Question Number : 128 Question Id : 441009945165 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
In an isotropic phase of matter, __________.
Options :
1.    there is both positional and orientational order
2.    there is positional order only
3.    there is orientational order only
4.    there is no orientational or positional order


Question Number : 129 Question Id : 441009970142 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
At lower temperatures the lattice specific heat varies as _________.
Options :
1.    T3
2.    1/T
3.    T
4.    1/T3

Question Number : 130 Question Id : 441009652805 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A statement is given followed by two conclusions. Identify which of the given conclusions is/are correct based on the following statement.

Statement: Quasicrystals exhibit long-range orientational order but lack of translational symmetry, resulting in unique diffraction patterns. Liquid crystals, on the
other hand, can flow like liquids but have some degree of molecular order.

Conclusions:
A - Quasicrystals have periodic atomic arrangements.
B - Liquid crystals can exhibit properties of both solids and liquids.
Options :
1.   A is correct, but B is false
2.   A is false, but B is correct
3.    Both A and B are correct
4.    Neither A nor B is correct


Question Number : 131 Question Id : 441009652806 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The molecules in liquid crystals are _________, a typical length range being ___________, respectively.
Options :
1.    small, 1-15 Å
2.    long, 1-15 Å
3.    small, 15-40 Å
4.    long, 15-40 Å


Question Number : 132 Question Id : 441009652807 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
A uniform silver wire has a resistivity of 1 × 10−8 Ωm at room temperature. For an electric field along the wire of 1 Volt/cm, assuming that there are 5
× 1028 conduction electrons/m3, the mobility and relaxation time of the electron in SI unit are respectively equal to:
Options :
1.
2.
3.
4.


Question Number : 133 Question Id : 441009945175 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Smectic liquid crystals differ from nematic liquid crystals because they exhibit _________.
Options :
1.    no molecular order at all
2.    only orientational order
3.    orientational and partial positional order
4.    crystalline structure


Question Number : 134 Question Id : 441009652757 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following provides evidence for the shell structure in an atomic nuclei?
Options :
1.    The uniform distribution of nucleons
2.    The observed magic numbers
3.    The isospin symmetry of nucleons
4.    The spontaneous emission of photons

Question Number : 135 Question Id : 441009652868 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The nucleus of an atom is positive due to:

Options :
1.   the presence of electrons
2.   the presence of neutrons
3.   the presence of protons
4.   the presence of gamma rays


Question Number : 136 Question Id : 441009652874 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match the list I with list II and select the correct option.

 List – I                                                                         List - II
 A) Splitting of nucleus into smaller nuclei                                      (i) nuclear fusion
 B) Lighter nuclei combining to form heavier nucleus                              ii) nuclear fission
 C) The energy released during a nuclear reaction is due to                       iii) it releases tremendous amount of energy
 D) Nuclear reaction is beneficial because                                        iv) conversion of mass into energy
Options :
1.   A-(i), B-(ii), C(iii), D-(iv)
2.   A-(ii), B-(i), C(iii), D-(iv)
3.   A-(ii), B-(i), C(iv), D-(iii)
4.   A-(i), B-(iii), C(ii), D-(iv)


Question Number : 137 Question Id : 441009945227 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which property of nuclei shows sudden changes at magic numbers, indicating shell closures?
Options :
1.   Atomic mass
2.   Half-life
3.   Binding energy per nucleon
4.   Atomic charge


Question Number : 138 Question Id : 441009978815 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
What is the value of isospin component Tz for a nucleus with N neutrons and P protons?
Options :
1.   N-Z
2.   N+Z
3.   (Z-N)/2
4.   N(N-Z)


Question Number : 139 Question Id : 441009652727 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Consider the case of capture of a slow neutron by Al27 to form the compound nucleus Al28 (mass 27.99077 amu). The masses of interacting neutron and nucleus are
1.00898 and 26.99008 amu. What is the excitation energy of a compound nucleus? (Given: 1 amu = 931.5 MeV)
Options :
1.   5.2 Mev
2.   7.72 MeV
3.   3.36 Mev
4.   8.56 Mev

Question Number : 140 Question Id : 441009652731 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match List-I with List-II.
 List-I                                                                                    List-II
 A. Nuclear radius proportional constant                                                   P. 105 fm
 B. The value of skin thickness parameter of nuclear charge distribution                   Q. 1.2 fm
 C. Charge and matter radii of nuclei are nearly equal, to within about                    R. 2.3 fm
 D. Atomic radius                                                                          S. 0.1 fm
Options :
1.     A-Q, B-R, C-S, D-P
2.     A-Q, B-P, C-S, D-R
3.     A-R, B-Q, C-S, D-P
4.     A-P, B-R, C-S, D-Q


Question Number : 141 Question Id : 441009652755 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Read the following statement and conclusion and select the correct option.

Statement: Two light atomic nuclei collide and merge to form a heavier nucleus, releasing a substantial amount of energy in the process. This reaction is common in
the cores of stars.

Conclusion: The reaction described is an example of nuclear fusion.
Options :
1.     The conclusion follows the statement
2.     The conclusion does not follow the statement
3.     The statement is incorrect
4.     The statement and conclusion are both incorrect


Question Number : 142 Question Id : 441009652869 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Match List I (left column) with List II (right column) and select the correct option

                                           List – I                                                                      List - II

 (A)                                            Positive charge of an atom is due to       (i)                                 isotones



 (B)                                            Entire mass of an atom is located in the   (ii)                                scattering experiment



 (C)                                            Nuclei with same number of neutrons are    (iii)                               nucleus
                                                known as


 (D)                                            Size of the nucleus may be measured        (iv)                                protons
                                                using

Options :
1.     A-(iv), B-(iii), C-(i), D-(ii)
2.     A-(ii), B-(i), C-(iii), D-(iv)
3.     A-(i), B-(iii), C-(ii), D-(iv)
4.     A-(ii), B-(i), C-(iv), D-(iii)


Question Number : 143 Question Id : 441009902886 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Select the option that is true regarding the following.

Statement: In a direct reaction, the projectile interacts with only a small portion of the target nucleus.
Conclusion: Direct reactions are useful in studying the internal structure of the nucleus.
Options :
1.     Both Statement and Conclusion are correct, and the Conclusion is the correct explanation.
2.     Both Statement and Conclusion are correct, but the Conclusion is not the correct explanation.
3.     Statement is correct, but Conclusion is incorrect.
4.     Statement is incorrect, but Conclusion is correct.

Question Number : 144 Question Id : 441009927606 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following conclusions follow(s) with respect to the given statement?

Statement: The direct reactions occur on a short time scale of about 10-23 sec.

Conclusion I: The angular distribution of the ejected particles is strongly forward peaked.
Conclusion II: It involves two step interactions between incident particle and target nucleus.
Options :
1.   Only conclusion I follows
2.   Only conclusion II follows
3.   Neither I nor II follows
4.   Both I and II follow


Question Number : 145 Question Id : 441009652756 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
                                                                                      .
                                                         ?
Options :
1.

2.

3.

4.


Question Number : 146 Question Id : 441009652871 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following can help in understanding a nuclear fission?
Options :
1.   Mesons theory for nuclear forces
2.   Proton-proton cyclic process
3.   Single particle model of nucleus
4.   Liquid drop model of nucleus


Question Number : 147 Question Id : 441009652872 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Consider the following statements:

Statement A: Nuclei containing magic numbers of protons and neutrons show very high stability.
Statement B: Nuclei with magic numbers of neutrons or protons have their first excited states at higher energies compared to the neighbouring nuclei.

In the context of the above two statements, which of the given options is correct?
Options :
1.   Statement A is true and B is false
2.   Both the statements are true
3.   Both the statements are false
4.   Statement B is true and A is false


Question Number : 148 Question Id : 441009652877 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
The conservation of parity is violated:
Options :
1.   for strong nuclear interaction
2.   for weak interaction
3.   for electromagnetic interaction
4.   for both electromagnetic and strong interaction

Question Number : 149 Question Id : 441009927561 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following conclusions follow(s) with respect to the given statement?

Statement: Spin orbit coupling term in the shell model causes splitting of energy levels with same orbital and principal quantum number but different total angular
momenta.

Conclusion I: The splitting of energy levels correctly reproduces the observed magic numbers.
Conclusion II: The spin orbit coupling is derived assuming spherical symmetry.
Options :
1.   Only conclusion I follows
2.   Only conclusion II follows
3.   Neither I nor II follows
4.   Both I and II follows


Question Number : 150 Question Id : 441009945246 Question Type : MCQ
Correct Marks : 2 Wrong Marks : 0.66
Which of the following best explains why alpha particles are emitted from certain unstable nuclei?
Options :
1.   The Coulomb repulsion between protons overcomes the strong nuclear binding energy.
2.   Quantum tunneling allows the alpha particle to escape the nuclear potential barrier.
3.   The alpha particle acquires sufficient kinetic energy to classically escape the nuclear well.
4.   The weak nuclear force mediates the disintegration of the nucleus.