A B r. what is the 5. G is a finite group of order n, a G and quantity g μ r

Size: px

Start display at page:

Download "A B r. what is the 5. G is a finite group of order n, a G and quantity g μ r"

Sherman Austin
5 years ago
Views:

1 μ 1. If A and Bγ are components of contravariant and covariant vectors, what is the nature of the quantity μ A B r? 4. The order of error in the Simpson s rule for numerical integration with a step size h is Zero (B) An invariant A contravariant tensor A mixed tensor of rank. For the Ricci tensor, R μ what is the r 5. G is a finite group of order n, a G and quantity g μ r in the summation order of a is m, if G is cyclic then convention? m = n = 0 A vector (B) m = n (B) Scalar m > n A pseudoscalar m < n Scalar curvature dx 3. The value of 1+ rule is (B) x by Simpon s h (B) h h 3 h 4 6. The set of all non-singular square RASIPURAM matrices of same order with respect to matrix multiplication is Quasi-group (B) Monoid Group Abelian group

2 7. Statement : All cyclic groups are abelian. Statement (B) : The order of cyclic group is same as the order of its generator. 10. For a changed particle in an electromagnetic field, the canonical momenta are mv + qa C and (B) are false (B) is true, (B) is false (B) is true, is false and (B) are true 8. Statement : Every isomorphic image of a cyclic group is cyclic. 11. A linear transformation of a generalized Statement (B) : Every homomorphic co-ordinate q and the corresponding image of a cyclic momentum p to Q and P is given by Q = q + p; q + α p is canonical if the group is cyclic. value of the constant α is Both and (B) are true (B) Both and (B) are false Only is true Only (B) is true 9. A one to one mapping of a finite group onto itself is Isomorphism (B) Homomorphism Automorphism Monomorphism (B) 1 (B) mv + qa C mv qa C 1 mv qa C RASIPURAM The value of the Poisson bracket [ a r, b p] vectors, is ab (B) a b a + b a b where a and b are constant

3 13. The canonical transformation corresponding to the generating function F = q i p i i Identify transformation (B) Reflection transformation Exchange transformation Reflection exchange transformation 14. Which one of the following is not the generating function of the canonical transformation P = The value of d (q and q = PQ Q i pj) is dt Always zero q Q (B) Always one (B) qp Zero when i j P P Q P 15. Which of the following statements is false? The Poisson bracket of momentum conjugate to a cyclic co-ordinate with Hamiltonian vanishes (B) Lagrangian bracket is invariant under canonical transformations Poisson bracket changes sign under commutation of concerned dynamical variables Lagrangian bracket is commutative with respect to concerned dynamical variables 16. If (X, H) = 0 and (Y, H) = 0, the value of (H (X, Y)) is 0 (B) 1 1 Zero when i = j 18. If the Hamiltonian of a system is H p = + V(q) m, the value of RASIPURAM (p, (p, H)) is Zero (B) One v q v q

4 19. If H is constant of motion, the value of ((p, H), H) is p (B) p p p 0. The plasma angular frequency fc if an ionized gas with ion concentration, N is 9 N An accelerated charge N (B) 9 (B) Static charge 3N An electrically neutral system N 3 A dielectric 1. The Lorentz condition satisfied by φ and A is 1 dφ diva + = 0 C dt 1 dφ (B) diva = 0 C dt 1 dφ A + = 0 C dt 1 dφ A = 0 C dt. A moving charge can radiate electromagnetic energy if it Travels with uniform speed (B) Is accelerated Is at rest Is kept in a magnetic field 3. As oscillating electric dipole is equivalent to 4. A retarded potential represents the Present value of the potentials due to past position of the charge RASIPURAM (B) Past value of potentials due to present position of the charge Present value of potentials due to present position of the charge Past value of the potentials due to past position of the charge

5 5. A TEM wave is incident obliquely on a dielectric boundary with and r = r 1 = 1. The angle of incidence for total internal reflection is 60 (B) propagation which applies to 6. The capacitance per unit length and the microwaves only characteristic impedance of a loss less (B) Losses are too heavy at other transmission line are C and Z 0, frequencies respectively. The velocity of travelling wave on the transmission line is (B) C Z 0 Z 0 C 7. The dominant mode in a rectangular wave guide is TE 0 because this mode has No attenuation (B) No cutoff No magnetic field component The highest cutoff wavelength 8. Waveguides are used mostly for microwave signals because They depend on rectilinear They are not excited at lower frequencies They would be too bulky at lower frequencies RASIPURAM The cutoff wavelength for TE 0 mode for a standard rectangular waveguide is 1 Z C 0 C Z 0 a (B) a a a

6 30. During scattering of a particle by a spherically symmetric potential, the conserved quantities are E only (B) L only E, L z and L L z only 31. Scattering is always accompanied by Phase shift (B) Reaction 4π (B) σ = Imf(0) k 33. Born approximation is applicable for scattering by Low Z targets at high energy (B) Low Z targets at low energy High Z targets at high energy High Z targets at low energy 34. The dancing motion of a Dirac electron is called Bremsstrahlung (B) Zwitterbewegung Absorption Helicity New particle creation Oscillation 3. The optical theorem is mathematically stated as 35. The Dirac matrices are 4π σ = Re f(0) Zero trace unit square (4 4) k matrices RASIPURAM (B) Unit trace zero square (4 4) matrices k σ = Imf(0) 4π k σ = Re f(0) 4π Zero trace unit square ( ) matrices Unit trace zero square ( ) matrices

7 36. The vectors of dual space are called Ket vectors (B) Bra vectors Dirac vectors Poisson vectors 40. A second order phase transition is characterized by A latent heat (B) A change in volume A discontinuous change in its specific heat 37. A bra and a ket vector an orthogonal if Their vector product is zero (B) Their scalar product is zero Their scalar sum is zero All the above are valid (B) Only entropy remains constant 38. The Klein-Gordon equation generates a Only volume remains constant Non-negative probability density Only temperature remains constant (B) Negative probability density 4. Which of the following is an example of No probability density a first order phase transition? Only positive probability density A liquid-gas phase transition at the 39. The notion of antiparticles is based on the solutions of Klein-Gordon equation (B) Dirac equation Schwinger equation Schrodinger equation Irreversible behaviour during warming and cooling 41. In the process of phase transition Gibb s function remains constant critical point (B) A liquid-gas phase transition away from the critical point A normal metal-super conductor transition Normal liquid Helium to super fluid helium transition RASIPURAM

8 43. The transition of He-4 from the normal liquid state to a superfluid state is known as Beta transition (B) Lamda transition 47. Which of the following devices is used for the measurement of low pressure below atmospheric pressure? Ionization gauge Bose-Einstein condensation Zeeman effect 44. The phenomenon of diffusion occurs in Gases only (B) Liquids only Solids only Solids, liquids and gases 45. The temperature transducers exhibit non-linear behaviour. The order in ΔR R (B) which they exhibit non-linearity (highest ΔL L to lowest) is Thermocouple, RTDs, thermistors ΔR R ΔD D (B) Thermistor, thermocouples, RTDs RTDs, thermocouples, thermistor Thermistor, RTDs, thermocouples 46. A certain Op-Amp has an open loop gain of If the feedback factor is 0.1, the closed loop gain is around (B) (B) Strain gauge Compound gauge Pirani gauge 48. The gauge factor is defined as ΔL L ΔR R ΔR R Δ ρ ρ RASIPURAM A linear displacement transducer (digital) normally uses Straight-Binary code (B) BCD Gray code Hexadecimal code

9 50. The GM counter is Energy selective (B) Non-energy selective 54. A hydrogen atom is in p-state. For this values of j are 5, 3, 1 A scintillation detector Semiconductor detector (B) 1, + 1, A random noise generator produces a signal Whose amplitude varies randomly (B) Which has no periodic frequency Has an unpredictable power spectrum All of the above Photo emissive cell (B) Photo-diode 5. If P < 0.05, the level of significance is Photo resistive cell 5% Photo-conductive cell (B) 50% 0.05% 0.5% 53. The mean and variance of a χ distribution with 8 degrees of freedom are 8, 16 (B) 8, 1 4, 8 16, 3 3, 1 1, Which of the photo-electric transducers is used for production of electric energy by converting solar energy? 56. ψ k + g( r) = ψk(r) ; E k + g = E k describes The periodic nature of Block functions and their eigen values in a reciprocal lattice, respectively RASIPURAM (B) The periodic nature of Block functions and their eigen values in a direct lattice, respectively The orthogonality nature of Block functions and their eigen values The ortho-normality nature of Block functions and their eigen values

10 57. In the BCS theory of super conductivity the super conducting state formed from pairs of electrons act as Bosons Protons (B) Fermions Electrons 58. The value of flux on in a superconductor in SI unit is Tesla m (B) gauss cm Tesla m Tesla m 59. The schematic arrangement shown in 1 (B) R H = figure is for measuring one of the ne followings : 1 R H = ne (Temperature T 1 T T 0 ] Joule effect (B) Peltier effect Thomson effect Seebeck effect 60. Superfluidity is a state of matter in which the matter behaves like a fluid with Infinite viscosity (B) Zero viscosity High viscosity Low viscosity 61. According to Lorentz model, the Hall Coefficient (R H ) of metals is given by R H R H 3π 1 = 8 ne 3π 1 = 8 ne 6. The frequency of the AC current produced when a DC voltage of 15 RASIPURAM μ V is applied across the Josephson junction is 16. MHz (B).41 GHz.41 KHz.41 THz

11 63. The nearest neighbor distance (r) in a body centred cube (bcc) is (B) a a According to liquid drop model, the surface correction term is proportional to A (B) A 1 3 a 3 a Strong interaction 64. A free electron is placed in a magnetic (B) Weak interaction field of strength 1.0 Tesla. The Electromagnetic interaction resonance frequency [g =.003 and Gravitational interaction μ B = JT 1 ] is 8.0 GHz 68. The binding energy of two nuclei n P and n Q are x Joule and y Joule, respectively. If x > y, then the energy (B).80 GHz released in the reaction n P + m P = n Q is 8.0 MHz 8.0 KHz 65. A nucleus has a mass number 16. Its radius is 0.78 fermi (B) fermi 78 fermi 7.8 fermi A 3 3 A 67. Parity is violated during xy (B) x + y x y RASIPURAM x + y 69. Beta decay involves the interaction of Leptons with baryonic field (B) Baryons with the leptonic field Baryons with the electromagnetic field Photons with the baryonic field

12 70. The nucleons prefer to spend most of their time Inside the deuteron boundary (B) At the origin of the deuteron boundary 73. A nucleus undergoes beta decay from state, the type of transition is Pure Fermi allowed (B) Pure GT allowed Mixed At the surface of the deuteron Outside the deuteron boundary 71. The ground state spin of even-even nuclei is (B) duu and ddu Zero ddd and ddu (B) Half integral uuu and duu Negative only Positive only 7. According to the collective rotational model the spin-parity of the lowest energy state is 1 + (B) Pseudo scalar 74. The quark composition of a proton and neutron, respectively is ddu and uud 75. In a typical current-voltage characteristic measurement, the output of a Lock-in amplifier when the input signal is of frequence w, is D.C. part of the signal RASIPURAM (B) d I dv di dv d I 3 dv

Test Paper : III Test Booklet Serial No. : Test Subject : PHYSICAL SCIENCE OMR Sheet No. : Roll No. (REAL INSTITUTE FOR PHYSICS)

Test Paper : III Test Booklet Serial No. : Test Subject : PHYSICAL SCIENCE OMR Sheet No. : Test Subject Code K.S : K-513 ACADEMY, SALEM Roll No. (REAL INSTITUTE FOR PHYSICS) (Figures as per admission card)