TS SET 2012: Paper II, Physical Sciences
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Test Paper : II Test Booklet Serial No. : ______________________
OMR Sheet No. : ________________________________
Test Subject : PHYSICAL SCIENCES
Hall Ticket No.
Test Subject Code : A-16-02
(Figures as per admission card)
Name & Signature of Invigilator
Name : ____________________________________ Signature : ___________________________________
Paper : II
Subject : PHYSICAL SCIENCES
Time : 1 Hour 15 Minutes Maximum Marks : 100
Number of Pages in this Booklet : 8 Number of Questions in this Booklet : 50
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PHYSICAL SCIENCES
Paper – II
1. If ABCD is a rectangle of size 1 X 2, then
⎡ 1 − 2⎤
the angle between the diagonals AC and 6. If A = ⎢ , A = B + C where B is
⎣0 4 ⎥⎦
BD is
–1 symmetric, C is skew symmetric, then B =
(A) Cos (1/5)
(B) Cos–1(2/5)
⎡1 1⎤ ⎡ 1 − 1⎤
(A) ⎢ ⎥ (B) ⎢ ⎥
(C) Cos–1(3/5) ⎣1 2 ⎦ ⎣− 1 4⎦
(D) Cos–1(4/5) ⎡1/ 2 − 1⎤ ⎡ 2 − 1⎤
(C) ⎢ (D) ⎢ ⎥
⎣ −1 2⎥⎦ ⎣− 1 1⎦
⎡a − 2⎤
2. If A = ⎢ has eigen values 2, 3, then
⎣3 b⎥⎦ 1 1
7. 1 + 2
+ 2 + ... =
a, b are 3 5
(A) 2, 3 (B) 4, 1 (A) π / 4 (B) π2 / 8
(C) 6, –1 (D) 5, 0
(C) π (D) π2
3. If o
∫ f .dr = 0 over a closed curve, then
8. If ⎧ 1 f or 0 ≤ x < π , f(x) is expanded
(A) ∇ × f = 0 (B) ∇ . f = 0 ⎨
⎩− 1 f or − π ≤ x ≤ 0
(C) = ∇ 2 f (D) = ∇ × f in sine series as f(x) = ∑ b n sin nx, then b1 =
(A) 1/ π (B) 2 / π
4. If f is a vector of constant magnitude, then
(C) 4 / π (D) 0
df /dt =
9. If f(x) = x for 0 ≤ x ≤ 2, f(x) is expanded in
(A) f
Fourier series, then the constant term in
(B) 0
the series is
(C) normal to f
(A) 0 (B) 1
(D) k f (C) 2 (D) 3
10. y′′ + y= sin2x, then the particular integral
5. If f(z) = 1/(1 – cos z), then the singularity
of the solution is
z=0 is of order
(A) 0 (B) 1 (A) sin2x / 3 (B) cos2x / 3
(C) 2 (D) 3 (C) 2 /3 sin2x (D) –1/ 3 sin2x
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11. The distribution whose mean and 17. Compound pendulum is a perfectly rigid
variance are equal is body oscillating under the force of gravity
about
(A) Binomial (B) normal
(A) Horizontal axis which does not pass
(C) poisson (D) uniform through the center of gravity
12. If f(z) is expanded in Taylor series, then (B) Horizontal axis which passes through
the center of gravity
the region of convergence is
(C) Vertical axis passing through the
(A) annular center of gravity
(B) circular (D) None of the above
(C) entire 18. div B=0, imply that
(D) upper half of z plane (A) Magnetic monopoles only occur
(B) Magnetic dipoles only occur
13. If f(z) = 1/(z – a), then the integral o
∫ f (z)dz (C) Electric mono and dipole occur
over the circle |z – a| = 1 is (D) None of the above
(A) 2 π i (B) – 2 π i
π
(C) i (D) 0 19. o
∫ B . ds = 0, imply
(A) Gauss’s law of electrostatics
14. If y′ + y/x = x, then the integrating factor of
(B) Gauss’s law of magnetism
the equation is
(C) Gauss’s law of dielectrics
(A) ex (B) x
(C) 1/x (D) Log x (D) None of the above
20. Wave packets represent particles having
15. If the solutions of a differential equation
precise values of
are nonintersecting, then the differential
(A) Momentum and energy
equation could be (B) Position and momentum
(A) exact (B) homogeneous (C) Time and energy
(C) nonlinear (D) linear (D) None of the above
16. A particle moving under the action of 21. In a quantum oscillator, there is a finite
central force, the parameter which remain probability of finding the particle outside the
(A) Parabolic potential barrier
constant is
(B) Potential well
(A) Potential energy (C) Potential hill
(B) Total energy (D) None of the above
22. A nibble consist of
(C) Angular momentum
(A) Two bits (B) Four bits
(D) None of the above (C) Eight bits (D) Sixteen bits
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23. The diffusion capacitance of a p-n junction 28. Time dependent Schrodinger wave
is equation is not relativistically invariant, since
(A) Inversely proportional to life time of
(A) It has first derivative in time
carriers
(B) Second derivative in space
(B) Directly proportional to life time of
carriers coordinates
(C) Independent of life time of carriers (C) It is relativistically invariant
(D) None of the above (D) Both A and B
24. Relativistic kinetic energy is the sum of 29. Heisenberg uncertainty principle may be
(A) Non relativistic kinetic energy and rest applied to
mass (A) Determine ground state of Hydrogen
(B) Non relativistic kinetic energy and atom
potential energy
(B) Determine width of spectral line
(C) Sum of the squares of non relativistic
kinetic energy and potential energy (C) Prove the non-existence of electrons
(D) None of the above in nucleus
(D) All the above
25. An autonomous non conservative system
is said to be dissipative, then the vibration 30. The total energy or Hamiltonian of a
is known as poly-atomic molecule is given by
(A) Damped vibration (A) Translational energy
(B) Un-damped vibration (B) Vibrational energy
(C) Self oscillatory (C) Rotational energy
(D) None of the above (D) Sum of the all the above energies
26. Lagrange’s equation of motion is
31. The Fermi energy level in a semiconductor
described by
(A) Second order differential equation changes with
(B) Energy consideration not by force (A) n type doping
(C) Hamilton’s principle of conservative (B) p type doping
system (C) concentration of doping
(D) All the above (D) all the above
27. In the relativistic generalisation of 32. Ideal operational amplifier has
Newton’s laws i) High input impedence
(A) Fourth component of force and ii) High output impedence
momentum must be introduced iii) Infinite loop gain
(B) Differentiation cannot be performed (A) i) and ii) are correct, iii) is wrong
with respect to time (B) ii) and iii) are correct, i) is wrong
(C) Both A and B are to be considered (C) i) and iii) are correct, ii) is wrong
(D) None of the above (D) ii) is correct, i) and iii) are wrong
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33. Choose the correct options from the following: 37. SIM refers to
i) Weighted resistor and R-2R ladder (A) Select interrupt mask
networks are D/A techniques (B) Sorting interrupt mask
ii) Dual slope and successive
(C) Set interrupt mask
approximation are A/D techniques
(D) None of the above
iii) Thermocouple and piezo-electric
devices are passive transducers 38. The storage cell in an S RAM is
(A) i) and ii) are correct, iii) is wrong (A) A flip-flop
(B) ii) and iii) are correct, i) is wrong (B) A capacitor
(C) iii) and i) are correct, ii) is wrong (C) A fuse
(D) i) , ii) , iii) are correct (D) A magnetic domain
34. Identify the order of invention of the 39. The time taken for the data to appear at
following:
the data output of ROMchip after an
(A) BJT, Diode, FET, Microprocessor
address is applied at the address input
(B) Diode, BJT, FET, Microprocessor
(C) BJT, Diode, Microprocessor, FET lines is
(D) Diode, FET, BJT, Microprocessor (A) Write time (B) Recycle time
(C) Refresh time (D) Access time
35. Assertion A : Ge, Si cannot be used to
construct LEDs 40. Assertion A : The conducting walls of the
Reason R : Their Eg is small wave guide confine the
(A) A and R are true, and R is the correct electromagnetic fields
explanation and thereby guide the
(B) A and R are true but R is not the electromagnetic wave
correct explanation
(C) A is true but R is false Reason R : When the waves travel
(D) A is false but R is true longitudinally down the
guide, the plane waves are
36. Choose the correct options from the following:
reflected from wall to wall
i) The maximum energy of a free electron (A) A is true but R is false
at 0° K is Ef
(B) Both A and R are true
ii) The average energy of a free electron (C) A is false but R is true
at 0° K is (3/5) Ef
(D) Both A and R are false
iii) The most probable energy of electron
41. Luminescence is because of
in conduction band of semiconductor
is (½) KT above the bottom of the band (A) Photons emitted while excited
(A) i) and ii) are correct, iii) is wrong electrons drops down
(B) ii) and iii) are correct, i) is wrong (B) Knocking out of electrons by photons
(C) iii) and i) are correct, ii) is wrong (C) Photons stimulated by photons
(D) i) , ii) , iii) are correct (D) All
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42. Fluorescence occurs within 48. If Vp , Vg and C are phase velocity, group
(A) 10–5 s (B) 10–5 ms
velocity and free space velocity of
(C) 10–5 μ s (D) 10–5 ns
EM wave then
43. The ratio of conduction current density to
displacement current density is (A) Vp > Vg
(A) σ / ωε (B) ω / σε
(C) ε / σω (D) ωσ / ε (B) Vp < Vg
44. The depth of penetration of EM wave in a
conductor (C) (Vp) ( Vg) = C
(A) Increases with increase in frequency 2
of the wave (D) (Vp) (Vg) = C
(B) Decreases with increase in
conductivity of the material 49. Choose the correct options from the
(C) Increases with increase in
permeability of the medium following:
(D) Independent of all the above I) Stationary charge produces electric
45. Power radiated by an electric dipole is
field
(A) Directly proportional to the square of
the frequency II) Moving charge produces magnetic
(B) Inversely proportional to the square of
field
the frequency
(C) Directly proportional to the fourth III) Change in electric field does not
power of the frequency
produce magnetic field
(D) Inversely proportional to the third
power of the frequency (A) I) and II) are correct, III) is wrong
46. Superposition of two circularly polarised (B) II) and III) are correct, I) is wrong
lights having same frequency and
amplitude but rotating in opposite (C) I) and III) are wrong and II) is correct
directions give rise to (D) I) , II) , III) are correct
(A) Circularly polarised light
(B) Elliptically polarised light
50. The magnetic field produced by a wire
(C) Plane polarised light
(D) Randomly polarized light bent in the form of a parabola carrying
47. When plane polarised EM wave current I at its focus, given that d is the
propagates between two parallel
conducting plates distance from the focus to the apex is
I) Tangential component of the electric
field must be zero at all points on the wall (A) μ 0 NI/L
II) Tangential component of magnetic
field must be zero at all points on the wall (B) μ 0 I/2 π d
(A) I is wrong and II is correct
(B) II is wrong and I is correct (C) μ 0 I/4 d
(C) Both I and II are wrong
(D) Both I and II are correct (D) μ 0 I/4 π d
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Space for Rough Work
II¿ 8 A-16-02Official key not published for this paper.
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Source: Telangana State Eligibility Test. Question paper published by Telangana State Eligibility Test.