61.
A left circularly polarized light beam of wavelength 600 nm is incident on a crystal of thickness d and propagates perpendicular to its optic axis. The ordinary and extraordinary refractive indices of the crystal are no = 1.54 and ne and = 1.55 respectively. The emergent light will be right circularly polarized, if d is

62.
An atom with net magnetic moment $$\overrightarrow \mu $$ and net angular momentum $$\overrightarrow {\bf{L}} \left( {\overrightarrow \mu = \gamma \overrightarrow {\bf{L}} } \right)$$   is kept in a uniform magnetic induction $$\overrightarrow {\bf{B}} = {B_0}{\bf{\hat k}}.$$  The magnetic moment $$\overrightarrow \mu \left( { = {\mu _x}} \right)$$  is

63.
When liquid oxygen is poured down close to a strong bar magnet, the oxygen stream is

64.
The work done in bringing a charge +q from infinity in free space, to a position at a distance d in front of a semiinfinite grounded metal surface is

65.
A rod of length L with uniform charge density $$\lambda $$ per unit length is in the XY-plane and rotating about Z-axis passing through one of its edge with an angular velocity $$\overrightarrow \omega $$ as shown in the figure below. $$\left( {{\bf{\hat r}},\,\hat \phi ,\,{\bf{\hat z}}} \right)$$   refer to the unit vectors at Q, $$\overrightarrow {\bf{A}} $$ is the vector potential at a distance d from the origin O along Z-axis for d ≪ L and $$\overrightarrow {\bf{J}} $$ is the current density due to the motion of the rod. Which one of the following statements is correct?
Electromagnetic Theory mcq question image

67.
Match the following:
List-I List-II
P. Rest mass 1. Timelike vector
Q. Charge 2. Lorentz invariant
R. Four-momentum 3. Tensor of rank 2
S. Electromagnetic field 4. Conserved and Lorentz invariant

68.
A copper wire of uniform cross-sectional area 1.0 × 0-6 m2 carries a current of 1 A. Assuming that each copper atom contributes one electron to the electron gas, the drift velocity of the free electrons (density of copper is 8.94 × 103 kg/m3 and its atomic mass is 1.05 × 10-25 kg) is

69.
The electromagnetic field due to a point charge must be described by Lienard Weichert potentials, when

70.
Four point charges are placed in a plane at the following positions +Q at (1, 0), -Q at (-1, 0), + Q at (0, 1) and -Q at (0, -1).
At large distances the electrostatic potential due to this charge distribution will be dominated by the