Subject Code A hall ticket number OMR Sheet Number Subject physical sciences paper duration MAXIMUM marks number OF pages 2 hours This is

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1 Subject Code A-6-8 hall ticket number OMR Sheet Number Subject physical sciences paper duration MAXIMUM marks number OF pages hours 00 6 This is to certify that, the entries made in the above portion are correctly written and verified. ii number OF questions 00 Question Booklet Number Candidates Signature name and Signature of Invigilator Instructions for the Candidates A æýåç Mìü çü*^èþ èþë$. Write your Hall Ticket Number in the space provided on the top. D ç³#r ò³o êvæü ÌZ CÐèþÓºyìþ èþ çü Ë ÌZ Ò$ àìœýsìýmðüsœý èþ ºÆæÿ$ Æ>Äæý$ yìþ. of this page.. D {ç³ôèý² ç³{ èþðèþ$$ Ðèþ æþ (00) ºçßý$âñýO_eMæü {ç³ôèý²ë èþ$ MæüÍW E.. This paper consists of hundred multiple-choice type of questions. 3. ç³è æü { ëææÿ æýðèþ$$ èþ D {ç³ô>²ç³{ èþðèþ$$ Ò$Mæü$ CÐèþÓºyæþ$ èþ$ Ððþ$$ æþsìý I æþ$ 3. At the commencement of examination, the question booklet will Ñ$çÙÐèþ$$ËÌZ D {ç³ô>²ç³{ èþðèþ$$ èþ$ ðþç_ Mìü æþ ðþíí³ èþ A Ô>Ë èþ$ èþç³µ çüçv> be given to you. In the first 5 minutes, you are requested to open the booklet and compulsorily examine it as below : çüç^èþ*çü$mø yìþ. (i) To have access to the Question Booklet, tear off the paper (i) D {ç³ôèý² ç³{ èþðèþ$$ èþ$ ^èþ*yæþyé Mìü MæüÐèþÆŠÿ õ³h A ^èþ$ èþ E èþ² M>W èþç³# ïüë$ èþ$ seal on the edge of this cover page. Do not accept a booklet _ ^èþ yìþ. M>W èþç³# ïüë$ìôý Ðèþ$ÇÄæý$$ C ÐèþÆæÿMóü ðþç_ E èþ² {ç³ô>²ç³{ èþðèþ$$ èþ$ without sticker-seal and do not accept an open booklet. Ò$Ææÿ$ A XMæüÇ ^èþðèþ æþ$ª. (ii) Tally the number of pages and number of questions (ii) MæüÐèþÆæÿ$ õ³h ò³o Ðèþ$${ _ èþ çüðèþ*^éææÿ {ç³m>ææÿ D {ç³ôèý² ç³{ èþðèþ$$ìz õ³ië in the booklet with the information printed on the çü QÅ èþ$ Ðèþ$ÇÄæý$$ {ç³ôèý²ë çü QÅ èþ$ çüç^èþ*çü$mø yìþ.õ³ië çü QÅMæü$ çü º «_ cover page. Faulty booklets due to pages/questions V>± Ìôý é çü*_ _ èþ çü QÅÌZ {ç³ôèý²ë$ ÌôýMæü ùðèþ#r Ìôý é f{ç³ M>Mæü ùðèþ#r missing or duplicate or not in serial order or any other Ìôý é {ç³ôèý²ë$ {MæüÐèþ$ç³ æþ ÌZ ÌôýMæü ùðèþ#r Ìôý é HÐðþO é óþyéë$ yæþ$r discrepancy should be got replaced immediately by a Ðèþ sìý øçùç³nç èþððþ$o èþ {ç³ôèý² ç³{ é ² Ððþ r óþ Ððþ$$ æþsìý I æþ$ Ñ$ÚëÌZÏ ç³è > correct booklet from the invigilator within the period ç³ææÿåðóþ æümæü$ Mìü ÇW C_aÐóþíÜ é Mìü º æþ$ë$v> çüçv>y E èþ² {ç³ôèý²ç³{ é ² of 5 minutes. Afterwards, neither the Question Booklet çü$mø yìþ. èþ æþ èþ èþææÿ {ç³ôèý²ç³{ èþðèþ$$ Ðèþ*Ææÿaºyæþ æþ$ A æþ èþç³# çüðèþ$äæý$ will be replaced nor any extra time will be given. CÐèþÓºyæþ æþ$. (iii) After this verification is over, the Test Booklet Number (iii) ò³o Ñ«æþ V> çüç^èþ*çü$mö èþ² èþæ>ó èþ {ç³ô>²ç³{ èþ çü QÅ èþ$ OMR ç³{ èþðèþ$$ ò³o should be entered in the OMR Sheet and the OMR Sheet A óþñ«æþ V> OMR ç³{ èþðèþ$$ çü QÅ èþ$ D {ç³ô>²ç³{ èþðèþ$$ ò³o Ç çùt çü Ë ÌZ Number should be entered on this Test Booklet. Æ>Äæý$ÐèþÌñý èþ$. 4. Each item has four alternative responses marked,, and (D). You have to darken the circle as indicated below on the 4. {ç³ {ç³ôèý²mæü$ éë$væü$ {ç³ éåðèþ*²äæý$ë$,, Ðèþ$ÇÄæý$$ (D) Ë$V> correct response against each item. CÐèþÓºyézÆÿ$$. {ç³ {ç³ôèý²mæü$ çüæðÿo èþ fðéº$ èþ$ G èþ$²mö OMR ç³{ èþðèþ$$ìz {ç³ {ç³ô>² Example : A B C D çü QÅMæü$ CÐèþÓºyìþ èþ éë$væü$ Ðèþ é ÌZÏ çüæðÿō èþ fðéº$ çü*_ ^óþ Ðèþ é ²»êÌŒý ëæÿ$$ sœý ò³ Œþ ø Mìü æþ ðþíí³ èþ Ñ«æþ V> ç³nç ^éí where is the correct response. E éçßýææÿ ý : A B C D 5. Your responses to the items are to be indicated in the OMR Answer çüæðÿo èþ {ç³ çüµ æþ èþ AÆÿ$$ óþ. Sheet given to you. If you mark at any place other than in the circle or half circle or semi circle in the Answer Sheet, it will not 5. {ç³ôèý²ëmæü$ fðéº$ èþ$ D {ç³ôèý²ç³{ èþðèþ$$ ø CÐèþÓºyìþ èþ OMR ç³{ èþðèþ$$ ò³o èþ CÐèþÓºyìþ èþ be evaluated. Ðèþ é ÌZÏ óþ ç³nç _ Væü$Ç ^éí. AÌêM>Mæü çüðèþ*«é èþ ç³{ èþ ò³o ÐóþÆöMæü ^ør Væü$Ç _ èþ 6. Read instructions given inside carefully. ÌôýMæü çüvæü Ðèþ èþ Ìôý é AçÜ ç³nææÿ~ Ðèþ é ² í³ èþ Ò$ fðéº$ Ðèþ$*ÌêÅ Mæü èþ 7. Rough Work is to be done in the end of this booklet. ^óþäæý$ºyæþ æþ$. 8. If you write your name or put any mark on any part of the OMR 6. {ç³ôèý² ç³{ èþðèþ$$ ÌZç³Ë C_a èþ çü*^èþ èþë èþ$ gê{væü èþ V> ^èþ æþðèþ yìþ. Answer Sheet, except for the space allotted for the relevant 7. _ èþ$ ç³ {ç³ôèý²ç³{ èþðèþ$$ _ÐèþÆæÿ C_a èþ Rêä çü ËÐèþ$$ÌZ ^óþäæý*í. entries, which may disclose your identity, you will render yourself 8. OMRç³{ èþðèþ$$ ò³o È~ èþ çü Ë ÌZ çü*_ ^èþðèþëíü èþ ÑÐèþÆ>Ë$ èþí³µ _ C èþææÿ çü Ë ÌZ Ò$ liable to disqualification. 9. The candidate must handover the OMR Answer Sheet to Væü$Ç ç³# èþ$ ðþíõ³ Ñ«æþ V> Ò$ õ³ææÿ$ Æ>Äæý$yæþ V>± Ìôý é C èþææÿ _à²ë èþ$ ò³rtyæþ the invigilators at the end of the examination compulsorily V>± ^óþíü èþrïæÿ$$ óþ Ò$ A èþææÿá èþmæü$ Ò$Æóÿ»ê«æþ$ÅËÐèþ# éææÿ$. and must not carry it with you outside the Examination Hall. 9. ç³è æü ç³nææÿ Æÿ$$ èþ èþæ>ó èþ OMR ç³{ é ² èþç³µ çüçv> ç³è æü ç³ææÿåðóþ æümæü$yìþmìü CÐéÓÍ. The candidate is allowed to take away the carbon copy of Ðésìý ç³è æü Væü ºÄæý$rMæü$ çü$mæü$ððþâæýåmæü*yæþ æþ$. ç³è æü ç³nææÿ Æÿ$$ èþ èþææÿ$ðé èþ OMR Sheet and used Question paper booklet at the end of the A æýåææÿ$ Ë$ {ç³ôèý² ç³{ é ² OMR ç³{ èþ Äñý$$MæüP M>Ææÿ¾ Œþ M>ï³ çü$mæü$ððþâæýåðèþ^èþ$a examination. 0. ±Í/ èþëï Ææÿ Væü$»êÌŒý ëæÿ$$ sœý ò³ Œþ Ðèþ*{ èþðóþ$ Eç³Äñý*W ^éí. 0. Use only Blue/Black Ball point pen.. ÌêVæüÇ æþðœþ$ sôýº$ìœýþ, M>ÅÍMæü$ÅÌôýrÆŠÿË$, GË[M>t MŠü ç³çmæüæ>ë$ Ððþ$$ æþëvæü$ èþñ ç³è æü. Use of any calculator or log table etc., is prohibited. Væü ÌZ Eç³Äñý*W ^èþyæþ õù«æþ.. There is no negative marks for incorrect answers.. èþ糚 çüðèþ*«é éëmæü$ Ðèþ*Ææÿ$PË èþwy ç³# Ìôý æþ$. II A-6-8

2 * A60* DO NOT WRITE HERE II A-6-8

3 *A60* physical sciences Paper II. If a, b, c are vectors and a + b + c = 0 a = 7, b = 5, c = 3, then the angle between b and c is (D) 30. The Eigen value of the matrix 6 3 is 3 (4,, ) (4,, 3) (8,, ) (D) (6, 3, 3) 3. Which of the following statement (s) are incorrect for the rank of a matrix? I. The rank of null matrix is II. The rank of non-zero matrix III. The rank of m n matrix is m if m n IV. The rank of every n square non singular matrix is n IV and III II and IV I and IV (D) Both I and III 4. If a and b are the order and degree of the 5 3 differential equation dy dy dy =. dx dx dx Then a + b is 8 3 (D) Match the following : xt t I. Legendre polynomial a. e t II. Bessel polynomial b. ( ) + x+ t x t III. Hermite polynomial c. e t IV. Laguerre polynomial d. x (t x) I II III IV b d a c c b a d b c d a (D) c a b d 6. Inverse Laplace transform of t + e t t + e t s te t ( s+ ) is (D) t + e t 7. The Fourier transform of derivative of Dirac delta function is proportional to 0 i k (D) cosk 8. At all points in a complex plane, which of the following is the analytical function of z? z z z (D) z II 3 A-6-8

4 9. Which of the following distribution mean and variance are equal? Normal distribution Binomial distribution Poisson distribution (D) Bernoulli distribution 0. The trapezoidal rule for the integral x e dx is 0 [ ] h e + e + e 3 0 [ ] h e + e + e 0 [ ] h e + 4e + e 3 0 [ ] (D) h e + 4 e + e. By applying Euler s method, the value of y(0.) for the differential equation dy = +y at x = 0, y = with a step size dx of 0. is (D).404. The number of degrees of freedom of a rigid body in n- dimensional space is n! n 6 (D) n (n + )/ 3. The second law of Kepler for planetary motion is a consequence of the law of conservation Energy Linear momentum Angular momentum (D) Isospin * A60* 4. According to special theory of relativity, the speed v of a free particle of mass m and total energy E is mc v = c E mc v = c E E v = + m mc E mc (D) v = c + E 5. An electron gains energy so that its mass becomes m 0 then it s speed is 3 c 3 4 c 3 c (D) 3 c 6. Choose the correct statement (s). i. The generating function F = q k p k k generates the identity transformation ii. The generating function F = q k p k k generates the transformation iii. The generating function F = q k p k k cannot generate the identity transformation iv. The generating function F = q k p k generates the identity transformation i only iv only ii only (D) i and ii only k II 4 A-6-8

5 *A60* 7. For a charged particle in an electromagnetic field, the Hamiltonian H is represented as H = m p qa ( ) + q φ H = m p qa ( ) q φ H = [ m p q A ] ( ) + q φ (D) H = m p+ qa ( ) q φ 8. Identify the correct statements. i. The number of physical quantities that are required to uniquely and completely define the position (or) configuration of the system is called degrees of freedom. ii. The number of degrees of freedom of the system consisting of a cylinder rolling on a stationary inclined plane is two. iii. The number of degrees of freedom of a double pendulum is two (assume in extensible string). iv. The number of degrees of freedom of a conical pendulum and a spherical pendulum are two. ii, iii and iv are correct i, iii and ii are correct i, ii and iii are correct (D) i and iii are correct 9. The dimensional space required to represent a system of n particles with l constraints is 3n dimensions (3n l) dimensions (3n + l) dimensions (D) l dimensions 0. If f be a function depending on positions q, moment p and time t, the equation of motion in Poisson-Bracket form is df dt df dt = [ fh, ] q, p df dt = [ Hf, ] q, p (D) df dt fh f t = [, ] + q, p Hf f t = [, ] q, p. The Lagrangian of a particle moving in one dimensions is given by x L = vx ( ). Thus the Hamiltonian is x px x vx ( ) px x vx ( ) px x + vx ( ) (D) px x + vx ( ). Hamilton Jacobi theory provides the canonical transformation in which is/are cyclic. position momentum position and momentum (D) velocity 3. A charge Q is uniformly distributed over a semicircular ring of radius R. The electric field at the center of the semicircular ring is Q π 0 R Q π R 0 (D) Q π 0 R Q π 0 R 4. A circular loop of resistance R and area A is subjected to a magnetic field B 0 sinωt; B 0 is positive constant. Then the amplitude of the induced current in the loop at an angular position of π radians of current is B 0 RA BA 0 R BR 0 (D) Zero A II 5 A-6-8

6 5. The torque on a rectangular coil placed in a uniform magnetic field is large when number of turns of the coil is less number of turns of the coil is large plane of the coil is parallel to the field (D) area of the coil is small 6. If a charge moves along a rectangular loop and uniform magnetic field is applied in a direction perpendicular to the plane of the loop, then Kinetic energy of the charge remains constant Potential energy is higher than kinetic energy of the charge Kinetic energy is not constant along the loop (D) Force is non-uniform in one direction and uniform in another direction of the loop 7. The vector potential at the position defined by vector r in a uniform magnetic field B can be represented B r B ( r ) ( B r) (D) ( ) B r 8. In the following equations, which one represents that the electric field is to be zero; E is electric field and B is magnetic field E ds = 0 area E dl= 0 d E ds = Bdl dt area (D) B dl= µ I+ µ t E ds * A60* 9. For a vector potential Ar (, t), the divergence of A kt is A = where k is a constant r 3 of appropriate dimension. If the vector and scalar potential are in Lorentz gauge, then the scalar potential is kt kc t 3 3 r r kt r (D) kt cr 30. In a rectangular wave guide, the mode that propagates with minimum attenuation through the wave guide is TE 0 TE 0 TM 0 (D) TM 3. An electromagnetic wave is propagating in free space along Z-direction. If the electric field is given by E = cos( ωt kz)i, ˆ where π ω= ck ; k = ; then the magnetic field λ is B = cos( ωt kz)j ˆ c B = sin( ωt kz)j ˆ c B = cos( ωt kz)i ˆ c (D) B = sin( ωt kz)i ˆ c 3. Given a wave with the dispersion relation ω = ck + m with k > 0 and m > 0, which one of the following is true? Group velocity is greater than phase velocity Group velocity is smaller than phase velocity Group velocity and phase velocity are equal (D) No define relation between group velocity and phase velocity II 6 A-6-8

7 *A60* 33. A scalar potential φ and vector potential A in coulomb gauge, can satisfy Poisson s equation only if φ is independent of time and A is solenoidal φ is independent of time and A is irrotational φ is independent of time and A is dependent on time (D) φ is constant 34. If a particle moving in a potential V (x) = kx, where k is a constant, then the probability amplitude of a ground state at x = 0 in relation to all other states is minimum zero negative (D) maximum 35. A linear Hermitian operator A has infinite number of eigen values a i and has a complete set of orthonormal eigen states a i. If the system is in a state i ψ = a + a the probability of getting a value a for A on measurement is (D) zero 36. The operation of parity operator on a wave function is given by πψ (r) = ψ( r). Choose the correct statement from the following. is unitary but not Hermitian is Hermitian but not unitary is Hermitian and unitary (D) = 37. The evaluation of commutation [x, p ] gives i i ix (D) ip 38. The eigen functions of an infinite potential well V (x) = 0 if 0 x a = are given by otherwise nπ ψ n(x) = sin x n =,, 3,... a a This system is perturbed by H = V for 0 x a 0 = 0 otherwise Based on the first order perturbation, the correction to the n th energy state is V 0 n V 0 n 0 V (D) V 0 II 7 A-6-8

8 39. Any function G(r, r ) is called Green s function for the operator A, if A(r, ) G(r, r ) = 0 A(r, ) G(r, r ) = (D) A(r, ) G(r, r ) = A(r, ) 40. The scattering under Born approximation leads Fourier transform of the potential with respect to momentum transfer to the target. This approximation is valid when the scattering potential is weak and the incident energy of the projectile is high strong and the projectile energy high weak and the projectile energy is low (D) strong and the projectile energy is low 4. The electronic energy levels in the helium atom are divided into spin triplet and singlet states due to spin wavefunction in the triplet state is of antisymmetric character the spin wavefunction in the singlet state is of antisymmetric character spin and space wavefunctions in the singlet state are of antisymmetric nature under exchange (D) spin and space wavefunctions in the singlet state are of symmetric in nature * A60* 4. If i(k.r wt) ψ (r, t) = ae is the solution of the Klein-Gordon equation of a particle mc (r, t) (r, t) ψ = ψ c t then the energy of that particle can write represented as E = mc 4 E=± cp + mc zero (D) E = c p + m c If the equation of motion of the Dirac particle i r = r,h, to evaluate the velocity is [ ] then the x-component of the velocity is ν x β c α c x (D) αν x x 44. The product of spin ½ angular momentum operators s x s y s z s y s z s x gives i (D) i If q is the partition function of one S z molecule, then the partition function of the gas consisting of N non-interacting molecules is N! qn N! q N!q N (D) N N qn! II 8 A-6-8

9 *A60* 46. According to the law of equipartition of energy, the average energy per molecule is KT B 3 KT B 3 KT B (D) 5 KT B 47. Which of the following equation is true for Clausious Clapeyron s latent heat? (D) dp ds dp dt ds dt dv dt T = LV ( V ) L = TV ( V ) L = TP ( P ) L = TP ( P ) 48. There is a possibility of average occupation of a single particle energy level becoming infinity for M B system F D system B E system (D) for all systems for T 49. Gibbs paradox has been resolved by going from classical to quantum statistics including spin of the particles correct Boltzmann counting (D) taking relativistic effects into account 50. Paramagnetic susceptibility of free electron gas Obeys Curie law Obeys Curie-Weiss law Almost temperature independent (D) Is negative as in diamagnets 5. The magnetic susceptibility of a system can be related to the second order derivative of Helmholtz free energy with respect to Magnetization Temperature Volume (D) Magnetic field 5. Which of the following relation between the specific heat C and canonical partition function Z is correct? C = T KT T Z B ln C = T KT T Z B ln C= K T Z B ln T (D) C = Z KT T ln B 53. The quantum distribution functions reduces to classical distribution functions when λ 3 << V N λ 3 >> V N λ 3 = V (D) λ 3 = N N V where λ = de Broglie wave length N = Number of particles V = Volume II 9 A-6-8

10 54. The model Hamiltonian of a spin system in terms of weighted components α and β is 56. The following circuit represents * A60* x x H Jij SS i j SS y y z z = α ( + i j )+ βss i j ij, If α = β = then the model is called R + R F R V o Ising model V ref XY model Hubbard model (D) Heisenberg model 55. For T < T C the Vander Waals isotherm is shown in the figure P Differentiator Current follower Adder (D) Voltage regulator 57. The relation between emitter current amplification (α) and base current amplification factor (β) is β β α = + α α = α α β = + α α (D) β = β The Maxwells line is constructed by using the condition V M ( 3 )= V 3 P V V PdV 58. The op-amp circuit shown in figure has a non-inverting gain of 0. If R = m Ω Value then R should be R V M ( )= V P V V PdV R + V out V3 M ( 3 )= V P V V PdV V3 M ( 3)= V (D) P V V PdV V in 00 K Ω 0 K Ω. K Ω (D) 5 K Ω II 0 A-6-8

11 *A60* 59. A tunnel diode works on the principle(s) of i. Tunneling of charge carriers across the junction ii. Thermionic emission iii. Diffusion of charge carriers across the junction iv. Attraction of charge carriers across the junction i and iii are correct ii and iv are correct i is correct (D) iii is correct 60. Derive the Boolean expressions for the logic circuit shown below : A B C D E C (A + B) DE [C (A + B) D + E] [C (A+ B) + D] E (D) ABCDE 6. For using 8085 microprocessor-based system i. No program is required ii. Program must be stored in memory iii. Program need not be stored in memory iv. Program is stored in the internal register only i is correct only ii is correct i and ii are correct (D) iii and iv are correct 6. Match the following : a. RAM size-8085 microprocessor i. 3 kb b. RAM size-805 microcontroller ii. 64 kb c. ROM size-8085 microprocessor iii. 8 bytes d. ROM size-805 microcontroller iv. 4 kb a b c d ii iii i iv iv i iii ii i iii iv ii (D) iii iv ii i 63. The program counter (PC) in a microprocessor Counts the number of programs being executed Counts the number of instructions being executed Counts the number of interrupts handled (D) Keeps the address of the next address to be fetched 64. A half-adder can be constructed using two() - input logic gates; one of them is an AND gate then the other one is EX-OR NAND NOR (D) OR 65. The first byte of an absolute jump instruction in 805 consists of 3 LSBs of opcode and 5 MSBs of -bit address 5 MSBs of opcode and 3 LSBs of -bit address 6 MSBs of opcode and LSB of -bit address (D) 5 LSBs of opcode and 3 MSBs of -bit address 66. With 805 microcontroller timers with the crystal frequency of MHz then what is the maximum delay that can be generated? sec 0.0 msec.63 sec (D).97 msec II A-6-8

12 67. The quantum numbers of two electrons in a two valence electron atom are given below n = 6, l = 3, s = ½ n = 5, l =, s = ½ Then the possible values of J from J-J coupling are 0,,, 3, 4 0,, 3, 4, 5,, 3, 4, 5 (D) 0,,, 5, For d 8 configuration, the total number of optical electrons is 3 (D) The degeneracy of spectral term 3F is (D) 70. The doublets observed in alkali spectra are due to Screening of the K-electrons Spin-orbit interaction of electrons Pressure of isotopes (D) Spin of electrons only 7. The hyperfine splitting of spectral lines of an atom is due to The coupling between the spins of two or more electrons The coupling between the spins and orbital angular momentum of electrons The coupling between electron spins and nuclear spin (D) The effect of external electro-magnetic fields 7. The number of strong-magnetic field levels of D term is 8 0 (D) 5 * A60* 73. The precessional frequency ω L of an electron with an angular momentum vector L in a magnetic field B and orbital magnetic moment µ l B µ L L µ L l B is B µ l L µ B l (D) L 74. The Lande g factor for the term D 3/ is (D) To observe the infrared absorption spectrum in a molecular medium The molecule should possess a permanent dipolemoment The electric dipolemoment of the molecule is zero The molecule should have a very strong absorption band in the visible region (D) The molecule should have a very strong absorption band in the ultraviolet region 76. Raman effect is due to collision of Photon with electron Photon with molecule Electron with atom (D) Electron with electron II A-6-8

13 *A60* 77. Match the typical spectra of stable molecules with the corresponding wave number range.. Electronic i. 0 6 cm and above spectra. Rotational ii cm spectra 3. Molecule iii cm dissociation ii, i; 3 iii ii, iii; 3 i iii, ii; 3 i (D) i, ii; 3 iii 78. The no. of Bravais lattices in monoclinic crystal structure 3 (D) In a cubic crystal, the Bragg s angle for first order reflection from (,, 0) plane is 30. If the wavelength of X-rays is.54 A, the lattice parameter is.37 A.7 A.7 A (D).07 A 80. Which of the following parameters are related to Grevneisen relation? Thermal conductivity, thermal expansion coefficient, heat capacity Thermal expansion coefficient, specific heat and compressibility Thermal expansion coefficient, specific heat and electrical conductivity (D) Thermal conductivity, heat capacity and compressibility 8. Which of the following statement is incorrect? Hall effect explains the type of charge carriers Hall effect measures the mobility of charge carriers Hall effect measures the resistance of charge carriers (D) Hall effect provides the density of charge carriers 8. The temperature (T) dependence of ferromagnetic susceptibility (χ) with curie temperature (T c ) is (D) C T+ C T+ C T C T T c T c T c T c for T < T c for T > T c for T > T c for T < T c 83. The second Brillouin zone range of K-values π From + a to From 0 to a π π a π π π π From + a to a and a to a (D) From 0 to π a II 3 A-6-8

14 84. Which of the following is the plane defect? Vacancy Dislocations Grain boundaries (D) Frenkel defects 85. Which of the following property does not change when a material changes from normal state to superconducting state? * A60* 88. Which of the following graphs shows the dependence of free energy F on the order parameter of a superconductor at a fixed temperature T < T c (where T c is the superconducting transition temperature)? Entropy Specific heat Magnetic properties (D) Crystal structure 86. Which of the following liquid crystal has the helical structure? Nematic Smectic Cholesteric (D) None of the above 87. Which of the following equation represents the critical magnetic field? H c = H o T T c H c = H o + T T c H c = H o T T c (D) H c = H + o T T c (D) 89. Lattice part of the specific heat in metals at low temperatures Proportional to temperature and larger than the classical value Proportional to temperature and smaller than the classical value Proportional to cube of temperature and smaller than the classical value (D) Proportional to cube of temperature and larger than the classical value II 4 A-6-8

15 *A60* 90. The range (R) and energy (E) relationship for alpha particles can be represented as E = CR 3/ E = CR /3 R = CE /3 (D) E = CR /3 9. Which of the following is not a lepton? electron proton muon (D) neutrino 9. The baryon quantum numbers for protons, neutrons, electrons and pions are,,, and respectively.,, 0, 0 0, 0,,,,, 0 (D),, 0, 93. The energy of the fission fragments is to their masses. proportional inversely proportional exponential (D) none of the above 94. Isomeric states of nuclei are related to Higher order electric multipole transitions Higher order magnetic multipole transitions Admixture of electric and magnetic multipole transitions (D) Internal conversion transitions only 95. The energy required to probe elementary particles is of the order of ev KeV MeV (D) GeV 96. Nuclear size and shape are measurable through High energy electron scattering and nuclear quadrupole measurements Hyperfine splitting of spectral lines in w meson atoms High energy electron scattering (D) Neutron scattering 97. The rotational motion of the nucleus was observed in liquid drop model shell model collective model (D) optical model 98. The nuclear magneton is about times smaller than the Bohr magneton (D) Assertion : The deuteron is a loosely bound structure. Reason : The two nucleons in deuteron spend a considerable amount of time outside the range of the attractive potential which bounds them together. Both assertion and reason are incorrect Assertion is correct whereas reason is incorrect Assertion is incorrect but reason is correct (D) Both assertion and reason are correct 00. Thermal newton scattering in single crystal is employed to investigate electron band structure measure directional dielectric properties of materials determine fission reaction crosssection (D) measure phonon dispersion II 5 A-6-8

16 Space for Rough Work * A60* II 6 A-6-8