83052. The 25”anniversary of the fall of Berlin Wall was celebrated in--------?

83053. Who was the Maharaja of Travancore during the Abstention Movement?

83054. The first European union country which recognized the state of Palestine?

83055. Duleep Trophy is associated with?

83056. ’Jeevitha Samaram’is the autobiography of-------?

83057. The first woman High Court Judge in India?

83058. ’Rashtriya Ekta Diwas’was observed on 31st October 2014 to commemorate the birth anniversary of------?

83059. The elgen value of the matrix A=’[[costheta,-sintheta],[sintheta,costheta]]’is

83060. The residue of’z/(z-a)(z-a)(z-b))’at infinity is

83061. Which one of the following is a tensor of order zero,if A and B are vectors?

83062. Aij and Bij represent symmetric and anti symmetric real valued tensor respectively in three dimension.The number of independent components of Aij and Bij are

83063. If F(s)is the Laplace transform of F(t)the Laplace transform of F(at)is

83064. Choose the word which is different from the rest.

83065. The matrix’[[0,-1,0],[1,0,0],[0,0,1]]’is?

83066. If H is Hermitian matrix then exp(H)will be

83067. Orthogonal property of Legender’s polynomial is given by

83068. Find the value of “1/2~(5/2)’i.e.gamma(5/2)

83069. Two circular discs have the same mass m and same thickness t,Disc one has uniform density less than that of disc two.Which of the following is correct.

83070. Consider motion of a particle of mass m under the influence of a force F=kr,where k is a positive constant and r is the position vector of the particle.Now the orbit will be

83071. A violin string 5 m long has a fundamental frequency 200 Hz.At what speed does a transverse pluse travel on this string?

83072. Consider the longitudinal vibration of a linear traitomic molecule with two atoms of mass m each symmetrically situated on either sides of an atom of mass M.Now which of the following is a normal mode frequency of the system,if we use a spring model

83073. Number of generalized coordinates required to describe the motion of a particle of mass m constrained to move on the surface of a sphere of a radius R are

83074. The Hamiltonian of a particle in a central potential V(r)is

83075. Two particles of same mass m are emitted in the same direction with momenta 5 mc and 10mc respectively(c is the speed of light).as seen from the slower one,what is the speed of the faster particle?

83076. Which of the following has positive intrinsic curvature?

83077. A particle is constrained to move on a plane ,where it is attracted towards a fixed point with force is inversely proportional to square of the distance from the point.What is the Lagrangian of the particle in polar coordinates?

83078. The deBroglie wavelength of an electron accelerated to a potential difference of V volts is

83079. The electron orbit in a ground state hydrogen atom is in circumference equals to

83080. In case more than one linearly independent wave functions belong to the same energy E,the level is said to be

83081. The particle confined within the potential well displays

83082. A golf ball of 46 gm travels at 30 m/s.The wave length associated with it is

83083. Since electrons has an intrinsic magnetic dipole moment due to its spin,the electron interacts with the external magnetic field and the operator for this moment is ‘hatmu’is

83084. The value of [‘L_(x)’,’L_(y)’]is

83085. If a material has a conductivity of 25 S/m and relative permittivity of 80,then at a frequency of 3 GHz the material will acts as

83086. For normal incidence at an air glass interface with refractive index of 5 the fraction of energy reflected is given by

83087. Find out the correct relation between magnetic field B and electric field E,if n is the unit vector along the direction of propagation

83088. Neper/meter is the SI unit of

83089. A system of N non-interacting classical point particles are constrained to move on the two-dimensional surface of a sphere.The internal energy of the system is

83090. The isothermal compressibility of an ideal gas at temperature T and volume V is given by

83091. What is the temperature of an ideal gas of He atoms,if there are 6’xx’’10^(22)’atoms occupying 2 litres at atmospheric pressure?

83092. Consider a photon gas enclosed in a volume V and in equilibrium at temperature T.What is the chemical potential of this gas?

83093. A white dwarf star is supported against gravity by

83094. Anomalous Zeeman effect is exhibited by atoms having

83095. The land e g factor for the 3D1 level of an atom is

83096. The ratio of intensity of D1 and D2 line of sodium atom is

83097. Identify the molecule whose vibrations are both Raman and IR active

83098. The term’(j_(1),j_(2))’arising from 2s1,2p1 electronic configuration in jj coupling scheme is

83099. Metallic sodium has a BCC structure.Which of the following lines will be absent in the diffraction pattern.

83100. The reciprocal lattice to a BCC lattice is a lattice of type