## PHYSICAL SCIENCE

**PHYSICAL SCIENCE **** SYLLABUS**

**SYLLABUS**

****(These syllabus may change from time to time. Please check with the relevant Public Service Commission websites for any changes in the syllabus)

**PHYSICAL SCIENCE**

PAPER - II

PAPER - II

1. Basic Mathematical Methods : Calculus : Vector algebra and vector calculus, Linear algebra, matrices, Linear differential equations, Fourier-series, Elementary complex analysis.

2. Classical Dynamics : Basic principles of classical dynamics, Lagrangian and Hamiltonian formalisms, Symmetries and conservation laws, Motion in the central field of force, Collisions and scattering, Mechanics of a system of particles, Small oscillations and normal modes, Wave motion-wave equation, phase velocity, group velocity, dispersion. Special theory of relativity-Lorentz tranformations, addition of velocities, mass-energy equivalance.

3. Electromagnatics : Electrostatics-Laplace and Poisson equations, boundary value problems, Magnetostatics-Ampere’s theorem, Blot-Sayart law, electromagnetic induction, Maxwell’s equations in free space and in linear isotropic media. Boundary conditions on the fields at interfaces, Scaler and vector potentials, Gauge invarience, Electromagnetic waves-reflection and refraction, dispersion, interferance, coherence, diffraction, polarization, Electrodynamics of a charged particle in electric and magnetic fields. Radiation from moving charges, radiation from a dipole, Retarded potential.

4. Quantum Physics and Applications : Wave-particle duality, Heisenberg’s uncertainity Principle. The Schrodinger equation particle in a box., Harmonic Oscillator, Tunnelling through a barrier, motion in a central potential,Orbital angular momentum. Angular momentum algebra, spin. Addition of angular momenta. Time independent perturbation theory. Ferml’s Golden Rule. Elementary theory of scattering in a central potential, Phase shifts, partial wave analysis, Borm approximation, identical particles, spin-statistics connection.

5. Thermodynamic and Statistical Physics : Laws of thermodynamics and their consequences. Thermodynamic potentials and Maxwell’s relations. Chemical potential, phase equilibria. Phase space, microstates and microststes. Partition function, Free Energy and connection with thermodynamic quantities. Classical and quantum statistics, Degenerate electron gas. Blackbody radiation and Planck’s distribution law, Boss-Einstein condensation. Einstein and Debye models for latticce specific heat.

6. Experimental Design : Measurement of fundamental constants; e.h.c. Measurement of High & Low Resistences, L and C. Detection of X-rays, Gamma rays, charged particles, neutrons etc. Ionization chamber, proportional counter, GM counter, Scintillation detectors, Solid State detectors, Emission and Absorption Spectroscopy, Measurement of Magnetic field, Hall effect, magnetoresistance. X-ray and neutron Diffrection, Vacuum Techniques; basic idea of conductance, pumping speed etc. Pumps; Mechanical Pump, Diffusion pump; Gauges; Thermocouple, Penning, Pirani, Hot Cathode. Low Temperature; Cooling a sample over a range upto 4K and measurement of temperature. Measurement of Energy and Time using electronic signals from the detectors and associated instrumentation; Signal processing, A/D conversion & multichannel analyzers, Time-of-flight technique; Coincidence measurements; true to chance ratio, correlation studies. Error Analysis and Hypothesis testing Propagation of errors, Plotting of Graph, Distributions, Least aquares fitting, criteria for goodness of fite-chi square test.

**PAPER - III**

1. Electronics : Physics of p-n junction, Diode as a circuit element; clipping, clamping; Rectification, Zener regulated power supply : Transistor as a circuit element : CC, Cb, and CE configuration, ‘Transistor as a switch, OR, AND, NOT gates. Feed back in Amplifiers. Operational amplifier and its applications : inverting , non-inverting amplifier, adder, integrator, differentiator, wave form generator, comparator, & Schmidt trigger. Digital integrated circuits-NAND & NOR gates as building blocks, X-OR Gate, simple combinational circuits, Half & Full adder, Flip-flop, shift register, counters. Basic principles of A/D & D/ A converters; Simple applications of A/D & D/A converters.

2. Atomic & Molecular Physics : Quantum states of an electron in an atom. Hydrogen atom spectrum. Electron spin. Stern-Gerlach experiment. Spin-orbit coupling, fine structure, relativistic correction, spectro-scopic terms and selection rules, hyperfine structure. Exchange symmetry of wave functions. Pauli’s exclusion principle, periodic table alkali-type spectra, LS & JJ coupling, Zeeman, Paschen-Back and Stark effects. X-Rays and Auger transitions, Compton effect Principles of ESR, NMR Molecular Physics : Convalent, Ionic and Vander Waal’s interaction. Rotation/Vibration spectra. Raman Spectra, selection rules, nuclear spin and intensity alternation, isotope effects, electronic states of diatomic molecules, Frank-Condom principle. Lasersspontaneous and stimulated emission, optical pumping, population inversion, coherence (temporal and spatial) simple description of Ammonia maser, CO2 and He-Ne Lasers.

3. Condensed Matter Physics : Crystal classes and systems, 2d & 2d lattices, Bonding of common crystal structures, reciprocal lattice, diffraction and structure factor, elementary ideas about point defects and dislocations. Latics vibrations, Phonons, specific heat of solids, free electron theory-Fermi statistics; heat capacity. Electron motion in periodic potential, energy bands in metals, insulators and semi-conductors; tight binding approximation; Impurity levels in doped semi-conductors. Electronic transport from classical kinetic theory, electrical and thermal conductivity. Half effect and thermo-electric power transport in semi-conductors. Di-electrics-Polarization mechnisms, Clausius-Mossotti equation, Piezo, Pyro and ferro electricity. Dia and Para megnetism; exchange interactions, magnetic order, ferro, anti-ferro and ferrimagnetism. Super conductivity-basic phenomenology; Meissner effect, Type-1 & Type-2 Super conductors, BCS Pairing mechanism.

4. Nuclear and Particle Physics : Basic nuclear properties-size, shape, charge distribution, spin & parity, binding, empirical mass formula, liquid drop model. Nature of nuclear force, elements of two-body problem, charge independence and charge symmetry of nuclear forces. Evidence for nuclear shell structure. Single particle shell model-its validity and limitations, collective model. Interactions of charged particles and e.m. rays with matter. Basic principles of particle detectors-ionization chamber; gas proportional counter and GM counter, scintillation and semiconductor detectors. Radio-active decays (a By), basic theoretical understanding Nuclear reactions, elementary ideas of reaction mechanisms, compound nucleus and direct reactions, elementary ideas of fission and fusion. Particle Physics : Symmetrice and conservation laws, classification of fundamental forces and elementary particles, iso-spin, strangeness, Gell-Mann Nishijima formula, Quark model. C.P.T. invariance in different interactions, partynonconservation in weak interaction.

**PHYSICAL SCIENCE MCQs**

1:-Which one of the following is used as piezo electric material ?

A:-Silica gel

B:-Graphite

C:-Kieselghur

D:-Quartz

Ans: D

2:-Standard electrode potentials of three metals X, Y, Z are –1.2V, +.5V and –3V respectively. The reducing power of these metals will be

A:-Y>Z>

B:-Y>X>Z

C:-Z>X>Y

D:-X>Y>Z

Ans: C

3:-The most populated rotational state for HCl (B = 8.5 `cm^(-1)` ) at 300 K is

A:-4

B:-3

C:-1

D:-8

Ans: B

4:-The value of `d_(111)` in a cubic crystal is 325.6 pm. The value of `d_(333) `is

A:-208 pm

B:-308 pm

C:-108.5 pm

D:-420 pm

Ans: C

5:-The molecule active in rotational microwave, infrared absorption as well as rotational Raman spectra is

A:-`CO_(2)`

B:-`SF_(6)`

C:-HCl

D:-`N_(2)`

Ans: C

6:-Which of the following electrolyte have maximum Flocculation Value ?

A:-`K_(2)SO_(4)`

B:-`(NH_(4))_3PO_(4)`

C:-`Na_(2)` S

D:-NaCl

Ans: D

7:-The equilibrium constant of the following redox reactions at 298 K is `1xx10^(8)` `2Fe^(3+)` (aq) + 2I-(aq)=== `2fe^(2)` +(aq) + `I_(2)` (s)

If the standard reduction potential of iodine becoming iodine is +.54V, what is the standard reduction potential of

`Fe^(3+)`/`Fe^(2+)` ?

A:-–1.006V

B:-+.77V

C:-–.77V

D:-–.652V

Ans: B

8:-A first order reaction is 50% complete in 69.3 minutes. Time required for 90% completion for this reaction is

A:-100 minutes

B:-230 minutes

C:-2303 minutes

D:-125 minutes

Ans: B

9:-An organic compound with the molecular formula `C_(9)H_(10)`O forms 2, 4-DNP derivative, reduces Tollen's reagent and undergoes Cannizzaro reaction. On vigorous oxidation, it gives 1, 2-bezendicarboxylic acid. Identify the compound.

A:-2-methyl Benzaldehyde

B:-3-ethyl Benzaldehyde

C:-2-ethyl Benzaldehyde

D:-4-ethyl Benzaldehyde

Ans: C

10:-The reaction that involves the formation of both C-C and C-O bonds is

A:-Diels-Alder reaction

B:-Darzen's glycidic ester condensation

C:-Aldol reaction

D:-Beckmann rearrangement

Ans: B

11:-Amongst the following which is not isolobal pairs ?

A:-`Mn(CO)_(5)`, `CH_(3)`

B:-`Fe(CO)_(4)`, O``

C:-`Co(CO)_(3)`, `R_(2)Si`

D:-`Mn(CO)_(5)`, RS``

Ans: C

12:-The ligand system present in Vitamin `B_(12)` is

A:-Porphyrin

B:-Corrin

C:-Phthalocyanine

D:-Crown ether

Ans: B

13:-Match the metalloproteins in Column A with its biological and metal center in Column B.

(a) Hemoglobin (i) Electron carrier and iron

(b) Cytochrome b (ii) Electron carrier and copper

(c) Vitamin `B_(12)` (iii) `O_(2)` transport and copper

(d) Hemocyanin (iv) Group transfer reactions and cobalt

(v) `O_(2)` storage and cobalt

(vi) `O_(2) ` transport and iron

The correct match is

A:-(a)-(vi); (b)-(i); (c)-(iv) and (d)-(iii)

B:-(a)-(v); (b)-(i); (c)-(iv) and (d)-(iii)

C:-(a)-(iv); (b)-(v); (c)-(i) and (d)-(ii)

D:-(a)-(v); (b)-(vi); (c)-(ii) and (d)-(iv)

Ans: A

14:-The light pink color of [Co(`H_(2)`O)`_6` ]`^(2+)` and the deep blue color of [`CoCl_(4)` ]`^2-` are due to

A:-MLCT transition in the first and d-d transition in the second

B:-LMCT transition in both

C:-d-d transitions in both

D:-d-d transition in the first and MLCT transition in the second

Ans: C

15:-Patients suffering from Wilson's disease have

A:-Low level of Cu-Zn superoxide dismutase

B:-High level of Cu-Zn superoxide dismutase

C:-Low level of copper-storage protein, ceruloplasmin

D:-High level of copper-storage protein, ceruloplasmin

Ans: C

16:-The carbon-14 activity of an old wood sample is found to be 14.2 disintegrations `min^(-1)g^(-1)`. Calculate age of oldwood sample, if for a fresh wood sample carbon-14 activity is 15.3 disintegrations `min^(-1)g^(-1)(t_(1/2)` carbon–14 is 5730 years), is

A:-5,000 years

B:-4,000 years

C:-877 years

D:-617 years

Ans: D

17:-In a polarographic estimation, the limiting currents (μA) were 0.15, 4.65, 9.15 and 27.15 when concentration (mM) of Pb(II) were 0, 0.5, 1.0 and 3.0 respectively. An unknown solution of Pb(II) gives a limiting current of 13.65 μA. Concentration of Pb(II) in the unknown is

A:-1.625 mM

B:-1.208 mM

C:-1.768 mM

D:-1.500 mM

Ans: D

18:-The number of valence electrons provided [Ru`(CO)_(3)` ] fragment towards cluster bonding is

A:-1

B:-12

C:-8

D:-2

Ans: D

19:-0.106 mg of stearic acid (M = 284 g `mol^-1`) is found to cover 500 `cm^(2)` of water surface at the point where surface pressure just begins to rise sharply. Estimate the cross sectional area a, per stearic acid molecule and thickness t, of the surface film of stearic acid on water. Density of stearic acid = 0.85 g`cm^(-3).`

A:-3.5 nm

B:-2.5 nm

C:-1.9 nm

D:-.05 cm

Ans: B

20:-For Daniel cell calculate ΔG, if E = 1.10v at 250 C and D = 2, F = 96500 C

A:-185.4 KJ

B:-200.2 KJ

C:-212.3 KJ

D:-256.2 KJ

Ans: C

A:-Silica gel

B:-Graphite

C:-Kieselghur

D:-Quartz

Ans: D

2:-Standard electrode potentials of three metals X, Y, Z are –1.2V, +.5V and –3V respectively. The reducing power of these metals will be

A:-Y>Z>

B:-Y>X>Z

C:-Z>X>Y

D:-X>Y>Z

Ans: C

3:-The most populated rotational state for HCl (B = 8.5 `cm^(-1)` ) at 300 K is

A:-4

B:-3

C:-1

D:-8

Ans: B

4:-The value of `d_(111)` in a cubic crystal is 325.6 pm. The value of `d_(333) `is

A:-208 pm

B:-308 pm

C:-108.5 pm

D:-420 pm

Ans: C

5:-The molecule active in rotational microwave, infrared absorption as well as rotational Raman spectra is

A:-`CO_(2)`

B:-`SF_(6)`

C:-HCl

D:-`N_(2)`

Ans: C

6:-Which of the following electrolyte have maximum Flocculation Value ?

A:-`K_(2)SO_(4)`

B:-`(NH_(4))_3PO_(4)`

C:-`Na_(2)` S

D:-NaCl

Ans: D

7:-The equilibrium constant of the following redox reactions at 298 K is `1xx10^(8)` `2Fe^(3+)` (aq) + 2I-(aq)=== `2fe^(2)` +(aq) + `I_(2)` (s)

If the standard reduction potential of iodine becoming iodine is +.54V, what is the standard reduction potential of

`Fe^(3+)`/`Fe^(2+)` ?

A:-–1.006V

B:-+.77V

C:-–.77V

D:-–.652V

Ans: B

8:-A first order reaction is 50% complete in 69.3 minutes. Time required for 90% completion for this reaction is

A:-100 minutes

B:-230 minutes

C:-2303 minutes

D:-125 minutes

Ans: B

9:-An organic compound with the molecular formula `C_(9)H_(10)`O forms 2, 4-DNP derivative, reduces Tollen's reagent and undergoes Cannizzaro reaction. On vigorous oxidation, it gives 1, 2-bezendicarboxylic acid. Identify the compound.

A:-2-methyl Benzaldehyde

B:-3-ethyl Benzaldehyde

C:-2-ethyl Benzaldehyde

D:-4-ethyl Benzaldehyde

Ans: C

10:-The reaction that involves the formation of both C-C and C-O bonds is

A:-Diels-Alder reaction

B:-Darzen's glycidic ester condensation

C:-Aldol reaction

D:-Beckmann rearrangement

Ans: B

11:-Amongst the following which is not isolobal pairs ?

A:-`Mn(CO)_(5)`, `CH_(3)`

B:-`Fe(CO)_(4)`, O``

C:-`Co(CO)_(3)`, `R_(2)Si`

D:-`Mn(CO)_(5)`, RS``

Ans: C

12:-The ligand system present in Vitamin `B_(12)` is

A:-Porphyrin

B:-Corrin

C:-Phthalocyanine

D:-Crown ether

Ans: B

13:-Match the metalloproteins in Column A with its biological and metal center in Column B.

**Column A Column B**(a) Hemoglobin (i) Electron carrier and iron

(b) Cytochrome b (ii) Electron carrier and copper

(c) Vitamin `B_(12)` (iii) `O_(2)` transport and copper

(d) Hemocyanin (iv) Group transfer reactions and cobalt

(v) `O_(2)` storage and cobalt

(vi) `O_(2) ` transport and iron

The correct match is

A:-(a)-(vi); (b)-(i); (c)-(iv) and (d)-(iii)

B:-(a)-(v); (b)-(i); (c)-(iv) and (d)-(iii)

C:-(a)-(iv); (b)-(v); (c)-(i) and (d)-(ii)

D:-(a)-(v); (b)-(vi); (c)-(ii) and (d)-(iv)

Ans: A

14:-The light pink color of [Co(`H_(2)`O)`_6` ]`^(2+)` and the deep blue color of [`CoCl_(4)` ]`^2-` are due to

A:-MLCT transition in the first and d-d transition in the second

B:-LMCT transition in both

C:-d-d transitions in both

D:-d-d transition in the first and MLCT transition in the second

Ans: C

15:-Patients suffering from Wilson's disease have

A:-Low level of Cu-Zn superoxide dismutase

B:-High level of Cu-Zn superoxide dismutase

C:-Low level of copper-storage protein, ceruloplasmin

D:-High level of copper-storage protein, ceruloplasmin

Ans: C

16:-The carbon-14 activity of an old wood sample is found to be 14.2 disintegrations `min^(-1)g^(-1)`. Calculate age of oldwood sample, if for a fresh wood sample carbon-14 activity is 15.3 disintegrations `min^(-1)g^(-1)(t_(1/2)` carbon–14 is 5730 years), is

A:-5,000 years

B:-4,000 years

C:-877 years

D:-617 years

Ans: D

17:-In a polarographic estimation, the limiting currents (μA) were 0.15, 4.65, 9.15 and 27.15 when concentration (mM) of Pb(II) were 0, 0.5, 1.0 and 3.0 respectively. An unknown solution of Pb(II) gives a limiting current of 13.65 μA. Concentration of Pb(II) in the unknown is

A:-1.625 mM

B:-1.208 mM

C:-1.768 mM

D:-1.500 mM

Ans: D

18:-The number of valence electrons provided [Ru`(CO)_(3)` ] fragment towards cluster bonding is

A:-1

B:-12

C:-8

D:-2

Ans: D

19:-0.106 mg of stearic acid (M = 284 g `mol^-1`) is found to cover 500 `cm^(2)` of water surface at the point where surface pressure just begins to rise sharply. Estimate the cross sectional area a, per stearic acid molecule and thickness t, of the surface film of stearic acid on water. Density of stearic acid = 0.85 g`cm^(-3).`

A:-3.5 nm

B:-2.5 nm

C:-1.9 nm

D:-.05 cm

Ans: B

20:-For Daniel cell calculate ΔG, if E = 1.10v at 250 C and D = 2, F = 96500 C

A:-185.4 KJ

B:-200.2 KJ

C:-212.3 KJ

D:-256.2 KJ

Ans: C

21:-The sum of eigen values of a 2`xx`2 matrix is 5 and the product of eigen values is 6. Which of the following is the matrix ?

A:-`[[1,1],[2,3]]`

B:-`[[3,2],[1,1]]`

C:-`[[3,1],[1,2]]`

D:-`[[3,0],[0,2]]`

Ans: D

22:-Integrating the volume element in spherical polar coordinates gives the value

A:-`4/3` πr`^3`

B:-` `πr`^2h`

C:-πr`^2`

D:-4πr`^2`

Ans: A

23:-The Fourier transform of a Gaussian function is

A:-Poisson function

B:-Zero

C:-Gaussian function

D:-Greens function

Ans: C

24:-The crystal with metal deficiency defect is

A:-NaCl

B:-ZnO

C:-FeO

D:-KCl

Ans: C

25:-Which is the correct identity ?

A:-`delta_(ii)` = 2

B:-`delta_(ik)``epsi_(ikm)` = 0

C:-δ(x-x') = x

D:-`delta_(xy)` = `x^2` y

Ans: B

26:-An element with density 11.2 g/`cm^(3)` forms an fcc lattice with edge length of `4xx10^(-8)` cm. Calculate the atomic mass of the element.

A:-120.8

B:-240.4

C:-98

D:-107.9

Ans: D

27:-For a central force motion, the Lagrangian is

A:-`(1)/(2)`m(`dotr^(2)+r^(2)dottheta^(2))`

B:-`(1)/(2)`m(`dotr^(2)-r^(2)dottheta^(2))`

C:-`(1)/(2)`m(`dotr^(2)+r^(2)dottheta^(2))+(k)/(r)`

D:-`(1)/(2)`m(`r^(2)+dotr^(2)theta^(2))-(k)/(r)`

Ans: C

28:-For the transformation Q = aq + bp, p = cq + dp to be canonical

A:-ad + bc = 1

B:-ad – `b^2` `c^2` = 1

C:-ad – bc = 1

D:-ad – `b^2`c = 1

Ans: C

29:-An object in the shape of a cube is moving at a speed of 0.8C. The motion is parallel to X axis. The length of the body along the Z direction is

A:-0.6 `L_(0)`

B:-0.36 `L_(0)`

C:-0.64 `L_(0)`

D:-`L_(0)`

(`L_(0)` is the Length at rest)

Ans: D

30:-The simultaneous Eigen functions of angular momentum operators `L^(2)` and `L_(z)` are

A:-all of `2_(s)`, `2p_(x)`, `2p_(y)` and `2p_(z)` orbitals

B:-only `2_(s)`, `2p_(x)`, `2p_(y)` orbitals

C:-only `2_(s)` and `2p_(z)` orbitals

D:-only`` `2p_(z)` orbital

Ans: C

31:-The point group symmetry of `CH_(2)` = C = `CH_(2)` is

A:-`C_(2h)`

B:-`C_(2v)`

C:-`D_(2h)`

D:-`D_(2d)`

Ans: D

32:-The angular part of the wave function for 1-1-atom is written using

A:-Spherical harmonics

B:-Bessel function

C:-Hermite polynomial

D:-Newmann function

Ans: A

33:-Ground state term symbols for Lanthanum and Uranium atom are

A:-`^2L_(3/2),^5L_(6)`

B:-`^2D_(2/3),^6L_(5)`

C:-`^2D_(3/2),^5L_(6)`

D:-`^1D_(3/2),^5L_(5)`

Ans: C

34:-Which of the following is an exactly solvable time dependent problem in Quantum mechanics ?

A:-Start effect

B:-MASER

C:-Zeeman effect

D:-Harmonic Oscillator

Ans: B

35:-Select the correct relativistic linear Hamiltonian

A:-H = `[P^2` `C^2` +`m^2_0` `C^4]``1/2`

B:-`(P^2)/(2m)`

C:-`mC^(2)` = H

D:-H = C(`alpha` .P) + `beta` `m_(0)` `C^(2)`

Ans: D

36:-The line integral of magnetic field is

A:-Potential

B:-Current

C:-Energy

D:-Polarization

Ans: B

37:-Magnetic vector potential is

A:-Not conservative

B:-Conservative

C:-Unipolar

D:-Endless

Ans: A

38:-Entropy is

A:-additive quantity

B:-constant quantity

C:-conserved quantity

D:-covariant quantity

Ans: A

39:-Bose-Einstein condensation will occur

A:-in the presence of intermolecular forces

B:-in the absence of intermolecular forces

C:-in the position space

D:-none of the above

Ans: A

40:-Which of the following is NOT a first order phase transition ?

A:-transition from liquid to vapour

B:-transition from solid to vapour

C:-transition from ferromagnet to paramagnet

D:-melting of ice to liquid

Ans: C

41:-To get vibrational spectra of molecule, it must involve

A:-a change in structure

B:-a change in force

C:-a change in electronic state

D:-a change in dipolemoment

Ans: D

42:-The correct expression for rotational energy of a rotating molecule

A:-`(J(J+1)h^(2))/(8piI)`

B:-`(J(J+1)h^(2))/(8pi^(2)I)`

C:-`((J+1)h^(2))/(8pi^(2)I)`

D:-`(Jh^(2))/(8piI^(2)```` `` `` `

Ans: B

43:-Water is a

A:-spherical top molecule

B:-symmetric top molecule

C:-linear molecule

D:-asymmetric top molecule

Ans: D

44:-How many Bravai's Lattices exists for seven crystal system ?

A:-7

B:-10

C:-13

D:-14

Ans: D

45:-The specific heat of a superconductor

A:-decreases linearly temperature

B:-varies exponentially with temperature

C:-is independent of temperature

D:-increases linearly with temperature

Ans: B

46:-The co-enzyme that is involved in the reduction of a double bond in fatty acid bisyntheis is

A:-NADH

B:-Biotin

C:-Pyridoxal

D:-FADH2

Ans: D

47:-For an OPAMP, the higher the value of CMRR

A:-indicates mismatch between two input terminals

B:-indicates low input capacitance

C:-indicates matching between input terminals

D:-higher offset voltage

Ans: C

48:-Nuclear force is

A:-central force

B:-spin independent force

C:-weak force

D:-spin dependent force

Ans: D

49:-The value of the boolean expression; z = (`barA+B`) (A + B) is

A:-B

B:-A

C:-`A+barA`

D:-`barA+B`

Ans: A

50:-A negative Liapunov exponent measures

A:-the rate at which a system point approaches a regular attractor

B:-the rate at which a system point diverges from a regular attractor

C:-the amount of sensitivity to initial conditions

D:-the relation with poincare maps

Ans: A

51:-Which of the following are related to chaos ?

A:-Breakdown of integrability

B:-Appearance of islands

C:-Extreme sensitivity to initial conditions

D:-All of the above

Ans: D

52:-Cosmic background radiation supports

A:-Big crunch of the universe

B:-Steady state of the universe

C:-Dark energy of the universe

D:-Big Bang of the universe

Ans: D

53:-Which of the following is a left-handed particle ?

A:-Antineutrino``

B:-`pi` -measons

C:-Neutrino

D:-Positrons

Ans: A

54:-The energy gap in a semiconductor is proportional to the inverse of the square of size. The effect is a result of

A:-Etching

B:-Quantum confinement

C:-Erosion

D:-Dip pen nano-lithography

Ans: B

55:-Energy from gravitational field is energy obtained from

A:-Wind

B:-Solar cells

C:-Tides

D:-Coal

Ans: C

56:-The number of chemical shift non-equivalent protons expected in `^1`H NMR spectrum of `alpha` -plnene

A:-7

B:-8

C:-9

D:-10

Ans: D

57:-Example of a boson

A:-Photon

B:-Electron

C:-Neutron

D:-Positron

Ans: A

58:-The molecule that has `S_(6)` symmetry element is

A:-`B_(2)``H_(6)`

B:-`CH_(4)`

C:-`PH_(3)`

D:-`SF_(6)`

Ans: D

59:-Calculate the dipole moment of NaCl in the gas phase assuming equal and opposite charges equal to the proton charges. The equilibrium internuclear distance is 236 pm.

A:-38`xx``10^(-20)` Cm

B:-28`xx``10^(-15)` Cm

C:-38`xx``10^(-30)` Cm

D:-18`xx``10^(-30)` Cm

Ans: C

60:-In the iodometric titration of sodium thiosulfate (`Na_(2)``S_(2)``O_(3)`) with acidic dichromate solution, 25 mL of 0.1 M dichromate requires 25 mL of 'x' M thiosulfate. The value of 'x' is

A:-0.2

B:-0.1

C:-0.6

D:-0.4

Ans: D

61:-The loss of an alkene fragment by a cyclic rearrangement of acarbonyl compound with Γ-hydrogen is termed as

A:-Beckman rearrangement

B:-Lossen rearrangement

C:-Cope rearrangement

D:-Mc Lafferty rearrangement

Ans: D

62:-How many peaks do you expect in the proton decoupled CMR spectra of cycloheptane and t-butyl alcohol ?

A:-1, 2

B:-2, 4

C:-1, 3

D:-2, 2

Ans: A

63:-The heterocyclic ring present in the amino acid histidine is

A:-Pyridine

B:-Tetrahydrofuran

C:-Indole

D:-Imidazole

Ans: D

A:-`[[1,1],[2,3]]`

B:-`[[3,2],[1,1]]`

C:-`[[3,1],[1,2]]`

D:-`[[3,0],[0,2]]`

Ans: D

22:-Integrating the volume element in spherical polar coordinates gives the value

A:-`4/3` πr`^3`

B:-` `πr`^2h`

C:-πr`^2`

D:-4πr`^2`

Ans: A

23:-The Fourier transform of a Gaussian function is

A:-Poisson function

B:-Zero

C:-Gaussian function

D:-Greens function

Ans: C

24:-The crystal with metal deficiency defect is

A:-NaCl

B:-ZnO

C:-FeO

D:-KCl

Ans: C

25:-Which is the correct identity ?

A:-`delta_(ii)` = 2

B:-`delta_(ik)``epsi_(ikm)` = 0

C:-δ(x-x') = x

D:-`delta_(xy)` = `x^2` y

Ans: B

26:-An element with density 11.2 g/`cm^(3)` forms an fcc lattice with edge length of `4xx10^(-8)` cm. Calculate the atomic mass of the element.

A:-120.8

B:-240.4

C:-98

D:-107.9

Ans: D

27:-For a central force motion, the Lagrangian is

A:-`(1)/(2)`m(`dotr^(2)+r^(2)dottheta^(2))`

B:-`(1)/(2)`m(`dotr^(2)-r^(2)dottheta^(2))`

C:-`(1)/(2)`m(`dotr^(2)+r^(2)dottheta^(2))+(k)/(r)`

D:-`(1)/(2)`m(`r^(2)+dotr^(2)theta^(2))-(k)/(r)`

Ans: C

28:-For the transformation Q = aq + bp, p = cq + dp to be canonical

A:-ad + bc = 1

B:-ad – `b^2` `c^2` = 1

C:-ad – bc = 1

D:-ad – `b^2`c = 1

Ans: C

29:-An object in the shape of a cube is moving at a speed of 0.8C. The motion is parallel to X axis. The length of the body along the Z direction is

A:-0.6 `L_(0)`

B:-0.36 `L_(0)`

C:-0.64 `L_(0)`

D:-`L_(0)`

(`L_(0)` is the Length at rest)

Ans: D

30:-The simultaneous Eigen functions of angular momentum operators `L^(2)` and `L_(z)` are

A:-all of `2_(s)`, `2p_(x)`, `2p_(y)` and `2p_(z)` orbitals

B:-only `2_(s)`, `2p_(x)`, `2p_(y)` orbitals

C:-only `2_(s)` and `2p_(z)` orbitals

D:-only`` `2p_(z)` orbital

Ans: C

31:-The point group symmetry of `CH_(2)` = C = `CH_(2)` is

A:-`C_(2h)`

B:-`C_(2v)`

C:-`D_(2h)`

D:-`D_(2d)`

Ans: D

32:-The angular part of the wave function for 1-1-atom is written using

A:-Spherical harmonics

B:-Bessel function

C:-Hermite polynomial

D:-Newmann function

Ans: A

33:-Ground state term symbols for Lanthanum and Uranium atom are

A:-`^2L_(3/2),^5L_(6)`

B:-`^2D_(2/3),^6L_(5)`

C:-`^2D_(3/2),^5L_(6)`

D:-`^1D_(3/2),^5L_(5)`

Ans: C

34:-Which of the following is an exactly solvable time dependent problem in Quantum mechanics ?

A:-Start effect

B:-MASER

C:-Zeeman effect

D:-Harmonic Oscillator

Ans: B

35:-Select the correct relativistic linear Hamiltonian

A:-H = `[P^2` `C^2` +`m^2_0` `C^4]``1/2`

B:-`(P^2)/(2m)`

C:-`mC^(2)` = H

D:-H = C(`alpha` .P) + `beta` `m_(0)` `C^(2)`

Ans: D

36:-The line integral of magnetic field is

A:-Potential

B:-Current

C:-Energy

D:-Polarization

Ans: B

37:-Magnetic vector potential is

A:-Not conservative

B:-Conservative

C:-Unipolar

D:-Endless

Ans: A

38:-Entropy is

A:-additive quantity

B:-constant quantity

C:-conserved quantity

D:-covariant quantity

Ans: A

39:-Bose-Einstein condensation will occur

A:-in the presence of intermolecular forces

B:-in the absence of intermolecular forces

C:-in the position space

D:-none of the above

Ans: A

40:-Which of the following is NOT a first order phase transition ?

A:-transition from liquid to vapour

B:-transition from solid to vapour

C:-transition from ferromagnet to paramagnet

D:-melting of ice to liquid

Ans: C

41:-To get vibrational spectra of molecule, it must involve

A:-a change in structure

B:-a change in force

C:-a change in electronic state

D:-a change in dipolemoment

Ans: D

42:-The correct expression for rotational energy of a rotating molecule

A:-`(J(J+1)h^(2))/(8piI)`

B:-`(J(J+1)h^(2))/(8pi^(2)I)`

C:-`((J+1)h^(2))/(8pi^(2)I)`

D:-`(Jh^(2))/(8piI^(2)```` `` `` `

Ans: B

43:-Water is a

A:-spherical top molecule

B:-symmetric top molecule

C:-linear molecule

D:-asymmetric top molecule

Ans: D

44:-How many Bravai's Lattices exists for seven crystal system ?

A:-7

B:-10

C:-13

D:-14

Ans: D

45:-The specific heat of a superconductor

A:-decreases linearly temperature

B:-varies exponentially with temperature

C:-is independent of temperature

D:-increases linearly with temperature

Ans: B

46:-The co-enzyme that is involved in the reduction of a double bond in fatty acid bisyntheis is

A:-NADH

B:-Biotin

C:-Pyridoxal

D:-FADH2

Ans: D

47:-For an OPAMP, the higher the value of CMRR

A:-indicates mismatch between two input terminals

B:-indicates low input capacitance

C:-indicates matching between input terminals

D:-higher offset voltage

Ans: C

48:-Nuclear force is

A:-central force

B:-spin independent force

C:-weak force

D:-spin dependent force

Ans: D

49:-The value of the boolean expression; z = (`barA+B`) (A + B) is

A:-B

B:-A

C:-`A+barA`

D:-`barA+B`

Ans: A

50:-A negative Liapunov exponent measures

A:-the rate at which a system point approaches a regular attractor

B:-the rate at which a system point diverges from a regular attractor

C:-the amount of sensitivity to initial conditions

D:-the relation with poincare maps

Ans: A

51:-Which of the following are related to chaos ?

A:-Breakdown of integrability

B:-Appearance of islands

C:-Extreme sensitivity to initial conditions

D:-All of the above

Ans: D

52:-Cosmic background radiation supports

A:-Big crunch of the universe

B:-Steady state of the universe

C:-Dark energy of the universe

D:-Big Bang of the universe

Ans: D

53:-Which of the following is a left-handed particle ?

A:-Antineutrino``

B:-`pi` -measons

C:-Neutrino

D:-Positrons

Ans: A

54:-The energy gap in a semiconductor is proportional to the inverse of the square of size. The effect is a result of

A:-Etching

B:-Quantum confinement

C:-Erosion

D:-Dip pen nano-lithography

Ans: B

55:-Energy from gravitational field is energy obtained from

A:-Wind

B:-Solar cells

C:-Tides

D:-Coal

Ans: C

56:-The number of chemical shift non-equivalent protons expected in `^1`H NMR spectrum of `alpha` -plnene

A:-7

B:-8

C:-9

D:-10

Ans: D

57:-Example of a boson

A:-Photon

B:-Electron

C:-Neutron

D:-Positron

Ans: A

58:-The molecule that has `S_(6)` symmetry element is

A:-`B_(2)``H_(6)`

B:-`CH_(4)`

C:-`PH_(3)`

D:-`SF_(6)`

Ans: D

59:-Calculate the dipole moment of NaCl in the gas phase assuming equal and opposite charges equal to the proton charges. The equilibrium internuclear distance is 236 pm.

A:-38`xx``10^(-20)` Cm

B:-28`xx``10^(-15)` Cm

C:-38`xx``10^(-30)` Cm

D:-18`xx``10^(-30)` Cm

Ans: C

60:-In the iodometric titration of sodium thiosulfate (`Na_(2)``S_(2)``O_(3)`) with acidic dichromate solution, 25 mL of 0.1 M dichromate requires 25 mL of 'x' M thiosulfate. The value of 'x' is

A:-0.2

B:-0.1

C:-0.6

D:-0.4

Ans: D

61:-The loss of an alkene fragment by a cyclic rearrangement of acarbonyl compound with Γ-hydrogen is termed as

A:-Beckman rearrangement

B:-Lossen rearrangement

C:-Cope rearrangement

D:-Mc Lafferty rearrangement

Ans: D

62:-How many peaks do you expect in the proton decoupled CMR spectra of cycloheptane and t-butyl alcohol ?

A:-1, 2

B:-2, 4

C:-1, 3

D:-2, 2

Ans: A

63:-The heterocyclic ring present in the amino acid histidine is

A:-Pyridine

B:-Tetrahydrofuran

C:-Indole

D:-Imidazole

Ans: D

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- Physical Science Answer key (SCRA 2013)
- Physical Science Answer key (SCRA 2014)
- Physical Science Answer key (SCRA 2015)
- Physical Science Answer key (Rajasthan PSC 9-12-2014 Paper II)
- Physical Science Answer key (Rajasthan PSC 9-12-2014 Paper III)
- Physical Science Answer key (Rajasthan PSC 2-08-2013 Paper II)