TS SET 2014: Paper III, Physical Sciences
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SUBJECT CODE SUBJECT PAPER
A-16-03 PHYSICAL SCIENCES III
HALL TICKET NUMBER QUESTION BOOKLET
NUMBER
OMR SHEET NUMBER
DURATION MAXIMUM MARKS NUMBER OF PAGES NUMBER OF QUESTIONS
2 HOUR 30 MINUTES 150 16 75
This is to certify that, the entries made in the above portion are correctly written and verified.
Candidates Signature Name and Signature of Invigilator
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2. This paper consists of seventy five multiple-choice type of
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correct booklet from the invigilator within the period ç³ÆæÿÅÐóþæüMæü$°Mìü ÇW C_aÐóþíÜ §é°Mìü º§æþ$Ë$V> çÜÇV>Y E¯èþ² {ç³Ôèý²ç³{é°² ¡çÜ$Mø yìþ.
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liable to disqualification. Ò$ Væü$Ç¢ ç³#¯èþ$ ðþÍõ³ Ñ«§æþ V> Ò$ õ³Ææÿ$ Æ>Äæý$yæþ V>± Ìôý§é CèþÆæÿ _à²Ë¯èþ$ ò³rtyæþ
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Sheet and used Question paper booklet at the end of the
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PHYSICAL SCIENCES
Paper – III
1. Which one of the following methods is 4. If f (x) = x3 – x – 1 = 0 , starting from x0 = 1,
best applicable for solving boundary value the iterative scheme that converges is x =
problems of partial differential equations ? (A) x3 – 1
(B) (1 + x)/x2
(A) Laplace Transform
(C) (1 + x)1/3
(B) Fourier Transform
(D) 1/(x2 – 1)
(C) Z transforms
5. If f (x) = x3 – 4x – 9 ,then f (x) = 0 has a root
(D) Greens functions in the interval
2. Match the following : (A) [– 1, 0]
(B) [0, 1]
I. Heat equation 1. parabolic
(C) [1, 2]
II. Harmonic equation 2. elliptic
(D) [2, 3]
III. Wave equation 3. Hyperbolic
6. The Lagrangian shape function for the
I II III points x = 0, 1, 2 at x = 0 is given by
(A) 1 3 2 (A) ½ (x – 1)(x – 2)
(B) 1 2 3 (B) ½ x(x– 1)
(C) ½ x(x – 2)
(C) 2 1 3
(D) ½ (x + 1) (x + 2)
(D) 3 2 1
7. Choose the correct answer :
3. The fundamental Green’s function for
I : The particles like π mesons, α particles
2 dimensional Laplace equation is of spin – 0 are described by vectors
(A) ½ |x1 – x2| II : The particles like deuterons of spin – 1
1 are described by scalars.
(B) ln r1 − r2
2π (A) I and II are true
1 (B) I is true, II is false
(C) –
4π r1 − r2 (C) I is false, II is true
(D) e x1 − x2 (D) I and II are false
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8. In Cartesian frame, metric tensor reduces 12. If u is constant of motion, then [H, u]=
to
(A) 0
(A) kronecker delta
(B) ∂H/∂t
(B) permutation tensor
(C) ∂u/∂t
(C) scalar
(D) ∂H/∂u
(D) vector
9. Order of SU(n) = 13. (Poisson theorem) The Poisson bracket
of any two constants of motion is
(A) n2 – 1
(B) n(n – 1)/2 (A) constant of motion
2
(C) ½ n (B) independent of time
(D) n(n + 2)/6 (C) independent of coordinates
10. The space represented by generalized (D) independent of momenta
coordinates and generalized momenta is
14. If H = p2/2m – amx , then [x, H] =
called
(A) Configuration space (A) mp
(B) Phase space (B) x
(C) Einstein space (C) p/m
(D) Minkowski space (D) – am
11. If η is a canonical variable vector, then
15. Which of the following is wrong ?
[η, η] η =
(A) [f, L] = –I × f
(A) – J
(B) [fi, Lj] = εijkfk
(B) 0
(C) I (C) [fi, Lj] = – fk, where i,j,k are cyclic
(D) J (D) [f , L ] = f , where i,j,k are cyclic
i j k
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16. The solution of Hamilton-Jacobi equation 20. The directivity of a broad side array of two
is called ________ function. λ /2 dipoles is
(A) 1.64
(A) Jacobi
(B) 1.56
(B) Hamilton principal
(C) 4
(C) Hamilton-Jacobi
(D) 6
(D) Jacobi conservation
21. Choose the correct answer from the
t1 following statements.
17. ∫t Ldt is called __________ integral. If a dipole has between cut from a metal
0
sheet, leaving a slot, then
(A) Action
I) The dipole and slot are said to be
(B) Hamiltonian-Lagrangian
complementary
(C) Jacobi
II) The field pattern of dipole and slot are
(D) Work force path the same but with E and H interchanged
III) The slot impedance is inversely
18. If kinetic energy quadratic is in qi′, then
proportional to dipole admittance
Σ piqi′ =
(A) I) and II) are correct
(A) 2T
(B) II) and III) are correct
(B) L
(C) III) and I) are correct
(C) H
(D) All are correct
(D) 2J
22. The cut-off wavelengths for the dominant
19. The radiation resistance of an mode in the case of rectangular wave
omnidirectional antenna having a field guide of dimensions 45 × 90 mm without
pattern given by E = (10 I / r ) (V/m) [ where and filled with dielectric of relative
I = terminal current and r = distance (m) ] permittivity 1.7 are respectively
(A) 3.33 Ω (A) 235 mm, 180 mm
(B) 33.3 Ω (B) 90 mm, 235 mm
(C) 333 Ω (C) 180 mm, 235 mm
(D) 1 Ω (D) 235 mm, 90 mm
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23. In the Cauchy’s formula for refractive index 26. If the depth of penetration of EM wave in a
medium having conductivity σ at a
given by n = 1 + A( 1 + B/ λ 2), A and B are frequency of 1 MHz is 25 cm, then the
respectively depth of penetration at a frequency 16 MHz
will be
(A) Coefficient of refraction and co-efficient
(A) 6.25 cm
of reflection
(B) 12.5 cm
(B) Coefficient of refraction and co-efficient (C) 25 cm
of absorption (D) 100 cm
(C) Coefficient of absorption and co-efficient 27. The value of fine structure constant is
of transmission (A) 1
(D) Coefficient of absorption and co-efficient (B) 137
of reflection (C) 1/137
(D) (1/137)2
24. Assuming azimuthal symmetry, the
28. The total angular momentum J =
relation between the scattering amplitude
(A) L + S
and the differential cross-section (d σ /d( Ω ) =
(B) L – S
(A) fk (θ)
(C) 2(L + S)
2
(B) fk (θ) (D) None
(C) fk (θ) 29. Choose the correct answer from the
following statements :
3
(D) fk (θ)
I) Spin- orbit interaction is weak in one
electron atoms but strong in multi-
25. If A is a vector potential and Φ is a scalar
electron atoms
potential, for solving problems dealing
II) Coulomb interaction between
with radiation, the coulomb gauss employs Nucleus and electron cannot explain
fine structure in atomic spectra
(A) ∇ . A = 0, Φ = 0
(A) I) only is correct
(B) ∇ . A = Φ (B) II) only is correct
(C) ∇ × A = Φ (C) Both are correct
(D) Both are wrong
(D) ∇ × A = 0, Φ = Constant
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30. According to Langevin’s classical 32. In thermodynamics, in case of phase
diamagnetic theory, when external transitions of first order, first order
magnetic field is applied on a revolving derivatives of Gibbs function undergo
electron in the atom (A) Continuous changes
(A) The magnetic flux linked with the (B) Negligibly small changes
revolving electron do not have
(C) Finite changes
interaction with the applied field
(D) Step like changes after some increase
(B) The magnetic flux generated with the
of parameters
revolving electron interacts with the
applied field without affecting the 33. In thermodynamics, in case of phase
orbital current transitions of second order type materials
at transition temperature
(C) The magnetic flux linked with the
orbital electronic current loop changes (A) Undergo volume change at constant
the current such that it opposes the temperature and pressure
change in flux (B) Undergo entropy change at constant
(D) The magnetic flux linked with the temperature and pressure
orbital electronic current loop changes (C) First order derivatives of Gibbs
the current such that magnetic field function exhibit discontinuity
and flux due to revolving electron
(D) Second order derivatives of Gibbs
current point in the same direction
function undergo finite changes
31. The paramagnetic materials have
34. In ferromagnetic materials
(A) Small magnetic susceptibility with
(A) Each atom has net electronic spin
temperature independence
(B) There is no coordination among
(B) Large magnetic susceptibility
neighbouring atoms in a domain
(C) Small magnetic susceptibility with
(C) Below critical temperature, it shows
temperature dependence
paramagnetic phase
(D) Ability to rotate atomic magnetic
(D) Above critical temperature it exhibits
moments in the same direction at
large hysteresis curve area
room temperature
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37. According to Bose – Einstein condensate
35. In typical ferromagnetic material of a few
cm 3 volume (A) It is a state of matter of concentrated
gas bosons heated to very high
(A) It has single domain temperatures
(B) If the temperature is more than critical (B) At very low temperatures near about
temperature all the domains orient 0 K a large fraction of Bosons occupy
their magnetic moments parallel to the lowest quantum state where
macroscopic quantum phenomena
each other
become apparent
(C) If the temperature is more than critical (C) He-4 can be realised at room
temperature, all the atoms in the temperature
material rotate their magnetic (D) He-4 exhibits very high viscosity
moments in a random direction
38. The output Vo of the Op-Amp circuit given
(D) When high external magnetic field is
below when all the resistors are equal to
applied on the material all the
R is
domains try to rotate their magnetic
moments opposite to the field direction
36. According to Brownian motion
(A) It is the systematic motion of small
particles in straight lines through fluid
media (A) 2 Vin
(B) Brownian motion theory can be used (B) Vin
for systematic moving of macro (C) –Vin
vehicles on the roads (D) – 2 Vin
(C) According to Einstein, pollen grains in 39. Find the change in the wire resistance for
water medium were moved by a strain gauge that has a nominal wire
individual water molecules resistance of 100Ω when it is subjected to
a strain of 1000 μm/m.
(D) The direction of force of atomic
(A) 1Ω
bombardment on particles in a fluid is
always along a straight line there by (B) 0.1Ω
making particles to move in straight (C) 0.2Ω
lines (D) 0.02Ω
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40. A specific gravity of a six cell Lead-acid 44. Thermistor is a
battery is measured as 1.22. The no-load
(A) Insulator
voltage of the battery is
(A) 2.06 V (B) Conductor
(B) 7.32 V (C) Semiconductor
(C) 12.26 V (D) Capacitor
(D) 5.04 V
45. Which of the following is an undesirable
41. Germanium has a band gap of 1.072 × 10–19 dynamic characteristic of a measuring
Joules. The maximum wavelength (in μm) instrument ?
for resistance change by photon
(A) Reproducibility
absorption so as to use it as a photo
detector is (B) Dead Zone
(A) 1.86 (C) Time Lag
(B) 18.6 (D) Static Error
(C) 1.24
46. Flapper nozzle is used in
(D) 12.4
(A) Electronic Controller
42. Relative permittivity can be measured by
(B) Pneumatic Controller
(A) Wheatstone’s Bridge
(C) Hydraulic Controller
(B) Hay’s Bridge
(D) None
(C) Desauty’s Bridge
(D) Schering’s Bridge 47. Which of the following relates the EMF
generated in a single homogeneous wire
43. Working principle of Radiation Pyrometer
is based on to temperature difference ?
(A) Kirchoff’s Law (A) Peltier Effect
(B) Stephan-Boltzman’s Law (B) Thomson Effect
(C) Wien’s Law (C) Sebeck Effect
(D) Sebeck Effect (D) None of these
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48. The shape of the wave generated by the 51. Electron spin resonance is a
circuit given below at the point V is spectroscopic technique. One of the basic
requirement of x-band spectrometer is
(A) An electromagnet capable of
supplying a fixed strength of magnetic
field
(B) Source of microwave radiation in the
region of 9.5 GHz
(C) Detection system to measure the
variation in electromagnetic power in
(A) Square X-ray frequency region
(B) Triangular (D) Arrangements for stopping the
radiation energy into the sample cavity
(C) Sine
(D) Ramp 52. Electron spin resonance is observed for
atomic hydrogen with an instrument
49. The radius of a hydrogen atom in its operating at 9.5 GHz. If the ‘g’ value for
ground state is (h = 6.624 x 10–34 Js, the electron in the hydrogen atom is
∈0 = 8.85 x 10–12 cNm–2 , me= 9.11 x 10–31 Kg ) 2.0026. The applied magnetic field
–9 strength ( if μB= 9.274 x 10–24 JT–1) is
(A) 2 x 10 m
(A) 0.339 T
(B) 4 x 10–8 m
–12
(B) 0.94 T
(C) 52.9 x 10 m
(C) 1.0 T
–9
(D) 16.16 x 10 m
(D) 4.0 T
50. Using 60 MHz instrument, the difference
53. Raman lines show the following
in frequency between TMS absorption
characteristics
and a certain proton in a compound was
(A) They are unsymmetrically displaced
found to be 180 Hz. If 40 MHz instrument
about the parent lines
is used, the frequency difference between
these protons is (B) The intensity of stokes lines is always
greater compared to anti-stokes lines
(A) 56 Hz
(C) They arise due to absorption of light
(B) 66 Hz without scattering by vibrating molecule
(C) 120 Hz (D) They do not depend on the polarizability
(D) 160 Hz of the bonds in the sample
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54. The mean time between atomic collisions 57. Match the following :
depends on
I. Relative density of FCC 1. 0.52
(A) Average speed of the atoms in the gas
II. Relative density of BCC 2. 0.74
(B) Mean free-path
III. Relative density of SC 3. 0.68
(C) Pressure and temperature of the gas
IV. Nuclear structure evaluation 4. NMR
(D) All the above factors study
I II III IV
55. For a cavity consisting of two plane mirrors
separated by a distance 60 cm in air, the (A) 3 1 2 4
mode number corresponding to the (B) 2 3 1 4
wavelength 600 nm is (C) 4 3 2 1
(A) 3 ×106 (D) 2 3 4 1
(B) 1.5 × 106 58. Match the following :
(C) 2 × 106
Crystal system Material with this
6
(D) 4 × 10 structure
I. Tetragonal 1. K2Cr2O7, CuSO4
56. The half width of the gain profile of a laser
material is 2 x 10–3 nm. If the length of the II. Ortho-Rhombic 2. CaSO4 . 2H2O
cavity is 30 cm, the longitudinal modes that III. Monoclinic 3. PbCO3, BaSO4
can be excited is (the emission IV. Triclinic 4. TiO2, SnO2
wavelength of laser is 600 nm)
I II III IV
(A) 2
(A) 2 3 1 4
(B) 3 (B) 4 2 1 3
(C) 4 (C) 4 2 3 1
(D) 5 (D) 4 3 2 1
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59. Using the Fermi function find the temperature 62. Match the ratios of (h2 +k2 +l2) successive
at which there is 1% probability that an
values for allowed reflections from cubic
electron in a solid will have an energy 0.5 eV
above Ef of 5 eV, given loge99 = 4.595 crystals as obtained from extinction rules.
(A) 300 K I. SC 1. 3:8:11:16:19
(B) 400 K
II. BCC 2. 3:4:8:11:12:16
(C) 836 K
III. FCC 3. 1:2:3:4:5:6:8
(D) 1260 K
IV. DC 4. 1:2:3:4:5:6:7
60. Metals exhibit positive temperature
coefficient of resistance due to I II III IV
(A) Increase of charge carriers density
(A) 2 3 1 4
with increase of temperature
(B) Vibrational amplitude of atoms (B) 3 4 2 1
decreases with increase of temperature
(C) 4 2 3 1
(C) Decrease of electronic mean free path
with rise of temperature (D) 3 4 1 2
(D) Increase of collision time between
successive collisions between 63. Match the following :
electrons and lattice.
Superconductor Type ; Transition
61. In case of reciprocal lattice of a solid Temperature
(A) Each point in a reciprocal lattice
I. Pb 1. Type II ; 108 K
corresponds to a particular set of
parallel planes of the direct lattice II. YBa Cu O 2. Type II ; 90 K
2 3 7
(B) The distance of a reciprocal lattice
III. Nb3Ge 3. Type II ; 23 K
point from an arbitrarily fixed origin in
directly proportional to the interplanar IV. Bi cuprates 4. Type I ; 6.2 K
spacing of the corresponding parallel
planes of the direct lattice I II III IV
(C) The volume of the unit cell of the (A) 4 2 3 1
reciprocal lattice is directly proportional
to the volume of the corresponding unit (B) 4 2 1 3
cell of the direct lattice
(C) 3 2 4 1
(D) Reciprocal lattice of direct f.c.c lattice
is again a reciprocal lattice (D) 4 3 2 1
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64. Liquid crystals 67. The time required for 10% of the sample
(A) Exhibit solid crystal property, when of Thorium to dissintegrate, given that its
they are at high temperatures
half life is 1.4 × 1010 years.
(B) Exhibit liquid property at low
(A) 2.1 × 109 Years
temperatures
(C) Exhibit some of the optical properties (B) 1.2 × 109 Years
of their solid form even in the
(C) 4.7 × 109 Years
semiliquid state in certain range of
temperatures (D) 11,800 Years
(D) Are semiconductor materials
68. A proton with total energy 1.4 GeV
65. A G.M. counter records 4,900 background
traverses two scintillation counters 20 m
counts in 100 min. With a radioactive
source in position, the same total number apart. Its time of flight is
of counts are recorded in 20 min. The
(A) 44.9 ns
percentage of S.D. with net counts due to
the source is (B) 83.8 ns
(A) 18
(C) 89.8 ns
(B) 8
(D) 94.4 ns
(C) 1.8
(D) 12 69. Alpha Decay is a nuclear process
occurring under
66. The half value thickness for β -absorption
(Emax = 1.17 MeV) in Al is given by (A) Electromagnetic Interaction
(A) 0.14 Cm
(B) Strong Interaction
(B) 0.014 Cm
(C) Weak Interaction
(C) 17.85 Cm
(D) 0.5 Cm (D) None of the above
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70. Choose the correct statement from the 74. In a certain betatron, the maximum
following : magnetic field was 4000 Gauss, operating
I) In the neutrino, the spin and angular at 50 cycles/Sec with a stable orbit
momentum vectors are oppositely
diameter of 60 inches. The average
directed.
energy gained per revolution is closely
II) In the anti neutrino, the spin and
angular momentum vectors are (A) 30 eV
aligned together.
(A) I only is correct (B) 30 KeV
(B) II only is correct (C) 30 MeV
(C) Both are correct
(D) None of these
(D) Both are wrong
71. How many neutrino types are known to 75. Nuclear magnetic resonance involves
exist ?
(A) A strong magnetic field causing
(A) 2
energies of certain nuclei to be split
(B) 4
into two or more quantised levels
(C) 8
(D) 6 (B) Energy differences between magnetic
quantum levels for atomic nuclei
72. Electron belongs to the class of
correspond to radiation energies in the
(A) Lepton
frequency range of 0.1 to 100 Hz
(B) Fermion
(C) Gravitons (C) Spectrum that results from the
(D) None of the above transition of electron of the atom from
73. The precession frequency of a nucleus in the higher energy state to lower
the magnetic field of the earth is energy state
–1
(A) 10 S
1
(D) NMR spectra that cannot give
(B) 10 S
information about electronic
(C) 103 S
environment of a nucleus in a molecule
(D) 105 S
______________
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III 16 A-16-03Official key not published for this paper.
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Source: Telangana State Eligibility Test. Question paper published by Telangana State Eligibility Test.