TS SET 2013: Paper II, Physical Sciences
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
SUBJECT CODE SUBJECT PAPER
A-16-02 PHYSICAL SCIENCES II
HALL TICKET NUMBER
QUESTION BOOKLET NUMBER
OMR SHEET NUMBER
DURATION MAXIMUM MARKS NUMBER OF PAGES NUMBER OF QUESTIONS
1 HOUR 15 MINUTES 100 16 50
This is to certify that, the entries made in the above portion are correctly written and verified.
Candidates Signature Name and Signature of Invigilator
Instructions for the Candidates A¿æýÅÆæÿ$¦ËMæü$ çÜ*^èþ¯èþË$
1. Write your Hall Ticket Number in the space provided on the 1. D ç³#r ò³O ¿êVæü ÌZ CÐèþÓºyìþ¯èþ çÜ¦Ë ÌZ Ò$ çàÌý sìýMðüsý ¯èþ ºÆæÿ$ Æ>Äæý$ yìþ.
top of this page.
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2. This paper consists of fifty multiple-choice type of questions.
3. At the commencement of examination, the question booklet will 3. ç³Èæü {´ëÆæÿ ¿æýÐèþ$$¯èþ D {ç³Ôé²ç³{èþÐèþ$$ Ò$Mæü$ CÐèþÓºyæþ$èþ$ ¨. Ððþ$$§æþsìý I§æþ$
be given to you. In the first 5 minutes, you are requested to °Ñ$çÙÐèþ$$ËÌZ D {ç³Ôé²ç³{èþÐèþ$$¯èþ$ ðþÇ_ Mìü §æþ ðþÍí³¯èþ A Ôé˯èþ$ èþç³µ°çÜÇV>
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discrepancy should be got replaced immediately by a {ç³Ôèý²Ë$ {MæüÐèþ$糧æþ®ÌZ ÌôýMæü´ùÐèþ#r Ìôý§é HÐðþO¯é óþyéË$ yæþ$r Ðèþ sìý §øçÙç³NÇèþÐðþ$O¯èþ
correct booklet from the invigilator within the period {ç³Ôèý² ç³{é°² Ððþ r¯óþ Ððþ$$§æþsìý I§æþ$ °Ñ$ÚëÌZÏ ç³È> ç³ÆæÿÅÐóþæüMæü$°Mìü ÇW C_aÐóþíÜ
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correct response against each item. OMR ç³{èþÐèþ$$ÌZ {ç³ {ç³Ôé² çÜ QÅMæü$ CÐèþÓºyìþ¯èþ ¯éË$Væü$ Ðèþé¢ÌZÏ çÜÆðÿO¯èþ
Example : A B C D {ç³çܵ §æþ¯èþ¯èþ$ çÜ*_ ^óþ Ðèþ颰² »êÌý ´ëÆÿ$$ sý ò³¯þø Mìü §æþ ðþÍí³¯èþ Ñ«§æþ V>
where (C) is the correct response.
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liable to disqualification. Ò$ Væü$Ç¢ ç³#¯èþ$ ðþÍõ³ Ñ«§æþ V> Ò$ õ³Ææÿ$ Æ>Äæý$yæþ V>± Ìôý§é CèþÆæÿ _à²Ë¯èþ$
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the invigilators at the end of the examination compulsorily
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Sheet and used Question paper booklet at the end of the {ç³Ôèý² ç³{é°², OMR ç³{èþ Äñý$$MæüP M>Ææÿ¾¯þ M>ï³° ¡çÜ$Mæü$ÐðþâæýÏÐèþ^èþ$a.
examination. 10. ±Í/¯èþËÏ Ææÿ Væü$ »êÌý ´ëÆÿ$$ sý ò³¯þ Ðèþ*{èþÐóþ$ Eç³Äñý*W ^éÍ.
10. Use only Blue/Black Ball point pen. 11. ÌêVæüÇ£æþÐþ$ sôýº$ÌýÞ, M>ÅÍMæü$ÅÌôýrÆÿË$, GË[M>t°Mü ç³ÇMæüÆ>Ë$ Ððþ$$§æþËVæü$¯èþÑ ç³ÈæüVæü¨ÌZ
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12. There is no negative marks for incorrect answers. 12. èþç³ çÜÐèþ*«§é¯éËMæü$ Ðèþ*Ææÿ$PË èþWY ç³# Ìôý§æþ$.
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PHYSICAL SCIENCES
Paper – II
1. A force f acting on a particle is proportional 3. If det A ≠ 0 , which of the following is
NOT true ?
to velocity gradient. The law is given by
du (A) A is singular
f=μ where u is velocity of the particle,
dx
(B) Ax = b will have unique solution
x is distance travelled and μ is the
proportionality constant. The dimensions (C) A has non zero eigen values
of μ are
(D) All columns of A are independent
–1
(A) ML T
4. If a square matrix A is singular, then which
–1
(B) MLT of the following is true ?
(C) M–1L–1T (A) Modulus of eigen values =1
(D) ML–1T –1 (B) Coefficient of λ in the characteristic
polynomial =0
2. If r = xi + yj + zk and a is a constant vector,
Column I Column II (C) Constant term of characteristic
polynomial =0
I. ∇ × (a × r ) 1. – 2a
(D) Sum of the eigen values is zero.
II. (a × ∇) × r 2. 2 (r × a )
5. If y1, y2, … , yn are solutions of nth order
III. a × (∇ × r ) 3. 2a
differential equation and sum of the
IV. ∇ × ((r. r )a) 4. 0 solutions i.e ∑ y i is also a solution of the
differential equations, then the differential
Choose correct matching among A, B, C, D equation is
for the row I, II, III, IV given below
I II III IV (A) linear and homogeneous
(A) 3 4 2 1
(B) linear and non-homogeneous
(B) 3 1 4 2
(C) 2 3 4 1 (C) nonlinear and homogeneous
(D) 4 3 1 2 (D) homogeneous
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6. Assertion (A) : If X is a normal random 1
9. ∫ xJn (αx ) Jn (β x)dx = 0 if
0
variable, then mean is
zero.
(A) α ≠ β
Reason (R) : Square of the standard
deviation is equal to
(B) n is integer only
second moment about
mean.
(C) α, β are integers only
(A) Both A and R are true
(B) A is false but R is true (D) 0 < α, β < 1
(C) A is true but R is false
(D) A is true but R is not correct 10. Newton’s laws are not valid if
explanation
(A) Bodies are in contact with each other
7. The probability that A passes a test is 1/5,
the probability that B passes the same (B) Observers are moving at constant
test is 2/3. The probability that only one
velocity
of them passes is
(A) 3/5 (C) Reference frame is at rest or fixed
(B) 2/15
(D) Reference frame is rotating
(C) 13/15
11. In phase space diagram of a dynamical
(D) 4/15
system, a point represents, if n = df
8. If w= f(z) is analytic, then
(A) n, momentum coordinates pi
∂w ∂ w
(A) =
∂z ∂ z
(B) n, generalise coordinates q
i
(B) ∂w = 0
∂z (C) 2n momentum and generalise
∂w
(C) =0 coordinates (pi, qi)
∂z
∂w ∂w (D) 2n space and rotation coordinates
(D) =i
∂z ∂z
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12. In phase space, _________ is invariant 14. Rutherford’s differential scattering cross-
under canonical transformations. section
(A) momentum (A) has the dimensions of area
(B) energy (B) has the dimensions of solid angles
(C) angular velocity (C) is proportional to the kinetic energy
of the incident particle
(D) volume
(D) inversely proportional to cos φ , φ is
13. A particle is moving on elliptical path
the scattering angle
under inverse square law of force of the
form f = –k/r2. Which of the following 15. Choose the correct statement.
statements are true ? The eccentricity of
I. In δ variation, time and space
the orbit is
coordinates vary
I. Function of total energy
II. In Δ variation, time and space
II. Independent of total energy coordinates vary
III. Function of angular momentum III. δ variation is independent of time
IV. Independent of angular momentum IV. Δ variation is independent of time
(A) I, III are true (A) I, IV are true
(B) I, II are true (B) II, III are true
(C) II, IV are true (C) I, II are true
(D) I, IV are true (D) III, IV are true
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16. Which of the following is NOT a Kepler’s 19. Div D has a value wherever
law ?
i. Electric charge is present
(A) All planets move in plane curves
ii. Magnetic dipole is present
(B) The radius vector of the planet
sweeps equal areas in equal (A) i is correct and ii is wrong
intervals of times
(B) ii is correct and i is wrong
(C) Cube of the time period of the planet
is proportional to square of the area (C) Both i and ii are correct
traced
(D) Both i and ii are wrong
(D) Angular momentum of the planet is
always constant 20. In a homogeneous and isotropic media
17. For a cyclic ordinate of the Lagrangian D and E are
of the system, the corresponding
(A) In the same direction
(A) momentum is constant
(B) In the opposite direction
(B) energy is constant
(C) Perpendicular to each other
(C) force is constant
(D) May be in different orientation
(D) torque is constant
21. The intrinsic resistance of empty space
18. In the laboratory a particle A has velocity
v, another particle B has velocity –v, the is given by
velocity of A relative to B is
(A) ε0 μ0
(A) 2v
(B) μ0 ε0
2 2
(B) 2v/( 1 + v /c )
(C) ε 0 μ 0
(C) 2v/(1 – v2/c2)
2 2
(D) (ε 0 μ 0 )2
(D) 2v/√(1 – v /c )
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22. Choose the correct statement. 25. Choose the correct statement.
i. In a lossless nondispersive media i. The divergence of a curl for any
the group velocity is always greater
vector field is the zero scalar.
than phase velocity.
ii. The curl of a gradient for any scalar
ii. In a dispersive medium, the phase
velocity is a function of frequency and function of position is the zero vector.
hence of the free space wavelength.
(A) i is correct and ii is wrong
(A) i is correct and ii is wrong (B) ii is correct and i is wrong
(B) ii is correct and i is wrong (C) Both i and ii are correct
(C) Both i and ii are correct (D) Both i and ii are wrong
(D) Both i and ii are wrong 26. Assertion (A) : Bar magnet freely
23. Poisson’s equation in charge free space dropped through a long
reduces to copper conduit held
vertically moves with
(A) Laplace’s equation
terminal velocity.
(B) Gauss’s law for dielectrics
Reason (R) : This is a consequence
(C) Kirchoff’s law
of Kirchoff’s law.
(D) Lorentz’s force equation
(A) A and R are true and R is the correct
24. Three point charges 30 μ C, 130 μ C and
explanation
– 80 μ C are enclosed by a surface. The
net flux across the surface is
(B) A and R are true and R is not the
(A) – 50 μ C correct explanation
(B) 60 μ C (C) A is true but R is not the correct
(C) 80 μ C explanation
(D) – 80 μ C (D) Both A and R are false.
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27. The electric field given by E(z,t) = 10 sin 29. Choose the wrong statement.
(ωt + βz) a x + 10 cos (ωt + βz) a y is
(A) Wave associated with material
(A) Plane polarized particle is a superposition of infinite
number of plane waves with slightly
(B) Elliptically polarized
differing k values
(C) Circularly polarized (B) Eventhough the constituent waves
can move with different speeds, the
(D) Unpolarized
wave packet moves with particle
28. Match the following : velocity and hence never leaves the
particle
Column I Column II
(C) The phase velocity can be greater
I. Bohr’s radius 1) 1/137
than speed of light
II. Fine structure constant 2) 13.6 eV
(D) Wavefunction gives the chance of
III. Compton wavelength 3) 0.53 A° locating the particle at a given instant
of time and at a given location in
IV. KE of electron in ground 4) 0.0242 A° space
state of H2 atom
30. The ratio of de-Broglie wavelength of an
Choose correct matching among A, B, C, D electron to that of proton when both of them
for the row I, II, III, IV given below : move with the same kinetic energy is
I II III IV
(A) 1836
(A) 3 2 4 1
(B) 1/1836
(B) 3 1 4 2
(C) 1836
(C) 1 2 3 4
(D) 2 4 1 3 (D) 1 1836
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31. The zero point energy of a linear
34. Based on Maxwell thermodynamic
harmonic oscillator is
relations and applying to specific heat
(A) h ν
equation, then
(B) (n + ½) h ν
(C) (1/2) h ν (A) C – C = T
p v
(D) (1/2) h ω ⎛ ∂P ⎞
(B) C – C = ⎜ ⎟
32. Choose the correct statement. p v ⎝ ∂T ⎠ V
i. The expectation value of an (C) C – C = RT
observable whose operator does not p v
depend on time explicitly is a ⎛ ∂P ⎞ ⎛ ∂V ⎞
constant with zero uncertainty. (D) C – C = T⎜ ⎟ ⎜ ⎟
p v
⎝ ∂T ⎠V ⎝ ∂T ⎠P
ii. Eigen functions of a Hermitian Read the passage and answer the questions
operator belonging to distinct eigen
values are orthogonal. 35, 36 and 37 given below :
(A) i is correct and ii is wrong Every system(solid, liquid or gas)
(B) ii is correct and i is wrong possesses a certain amount of energy.
This energy is called internal energy and
(C) Both i and ii are correct
is usually denoted by the symbol U.
(D) Both i and ii are wrong
The internal energy of a solid, liquid
33. Entropy of a thermodynamics system or gas consists of two parts (i) kinetic
does not change when the system is used
for energy due to the motion (translational,
(A) Conductance of heat from a hot rotational, vibrational) of the molecules (ii)
reservoir to a cold reservoir potential energy due to the
(B) Conversion of heat into work c o n f i g u r a t i o n (separation) of the
adiabatically
molecules. The internal energy of a
(C) Conversion of heat into internal
energy isochorically homogeneous system depends on its
(D) Conversion of work into heat thermodynamic state i.e. on its
isothermally thermodynamic coordinates P, V and T.
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Each definite state of the system 37. In a given process on an ideal gas
possess a definite quantity of internal dw = 0 and dQ > 0 then
energy. A change in the internal energy
(A) the temperature of the gas will
can occur only if a transfer of energy
between the system and surroundings is decrease
permitted. This can take place if (i) some
(B) the temperature of the gas remains
work is performed on or by the
constant
system and (ii) some heat is absorbed or
given out by the system.
(C) the internal energy of the gas will
35. In an isothermal process decrease
(A) the temperature of the gas is not
(D) the internal energy of the gas will
constant
increase
(B) the gas does not take any heat from
the surroundings
38. In case of two thermodynamic systems
(C) the internal energy of the gas
having molecules with chemical
remains constant
potentials μ1 with N particles,
1
(D) the pressure and volume of gas
μ 2 with N particles where μ1 > μ 2 ,
2
remain constant
if they are in thermal equilibrium
36. In an adiabatic process
initially, (θ1 ≈ θ2 ≈ θ) the thermodynamic
(A) the gas cannot take any heat from or
condition of entropy change gives
give any heat to the surroundings
condition that
(B) the temperature of the gas remains
1
constant (A) − (μ1 − μ 2 ) dN1 > 0
θ
(C) the internal energy of the gas does (B) (μ1 − μ 2 ) dN1 = 0
not change
(C) (μ1 − μ 2 ) dN1 > 0
(D) no work is done either on the gas or
by the gas (D) (μ1 − μ 2 ) dN2 < 0
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39. Choose the correct statement. 41. If gm and rd are the transconductance
Statistical mechanics deals about and drain resistance of a JFET
respectively, the greatest voltage
(A) not a particular individual movement
amplification that can be possible with
of particles in a system
this device can be
(B) it will not give information about
(A) gm
overall behaviour of a system of
(B) r
many particles related to the d
properties of the particles themselves (C) gm rd
(C) it helps how to find life history of one (D) g / r
m d
of the particles in a system
42. Which one of the following is correct ?
(D) it is not able to tell us the probability
i. In a tunnel diode, current can be
that the particle has a certain amount
tripple valued function of voltage
of energy at a certain moment
ii. Tunnel diode possess negative
40. Choose the wrong statement.
resistance region
According to Fermi - Dirac statistics,
Fermions iii. Tunnel diodes are fabricated with
very lightly doped PN junction
(A) have odd half integer spins
(A) i & ii only are correct
(B) they obey exclusion principle
(B) ii & iii only are correct
(C) they have symmetric wave function
(C) iii & i only are correct
(D) only one Fermion can exist in a
(D) All are correct
particular quantum state of a system
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43. The sloping up of BJT characteristics in 45. If αF and αR are the forward and inverted
mode current gains of BJT, then
the active region of CE configuration is
due to (A) αF = αR
(B) αF < αR
(A) Thermal Runway
(C) αF > αR
(B) Punch through
(D) αF >> αR
(C) Early effect
46. Which one of the following is correct ?
(D) Miller effect
LED i) is usually made from silicon
44. Which one of the following is correct? ii) emits light when forwarded
biased
Solar cells are used as source of power
iii) do not require warm-up time
in earth satellite because they have
(A) i &ii only are correct
i) high efficiencies
(B) ii & iii only are correct
ii) unlimited life (C) iii & i only are correct
iii) high power capacity per weight (D) None are correct
47. An ideal Op Amp is an ideal
(A) i &ii only are correct
(A) voltage controlled current source
(B) ii & iii only are correct
(B) voltage controlled voltage source
(C) iii & i only are correct
(C) current controlled current source
(D) All are correct
(D) current controlled voltage source
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48. Which one of the following is correct? 49. In Toggle mode, JK flip flop has
Tuned amplifiers are
(A) J=0, K=0
i. wide band amplifiers (B) J=0, K=1
ii. used in Radio Transmitters and (C) J=1, K=0
Receivers
(D) J=1, K=1
iii. performance is determined by Q of 50. While ........ is the fastest unsaturated
the circuit logic gate, ........ has excellent noise
immunity.
(A) i & ii only are correct
(A) ECL, TTL
(B) ii & iii only are correct (B) TTL, ECL
(C) iii & i only are correct (C) ECL, HTL
(D) All are correct (D) RTL, DTL
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Source: Telangana State Eligibility Test. Question paper published by Telangana State Eligibility Test.