Test: Electromagnetic Theory - 2 - Physics MCQ

Electric field in a configuration is given by  where A and k are constants, the charge density corresponding to the electric field is given by

A sphere of radius r having uniform volume charge density ρ consists. Three cavities of radius r₁, r₂, r₃ inside. If the centres of these cavities are located at the distances  respectively from die centre of the sphere the sum of electromagnetic field in the cavities will be

Two homogeneous cylindrical dielectncal regions, region-1 (s < 4 cm) and region-2 (s > 4 cm) have dielectric constants 3.5 and 1.5, respectively. If  then the value of  is given by

The charge density ρ(c/m)³ is uniformly distributed in the volume of the cylinder between and then the flux density  for r > 5 a will be ______

A electromagnetic wave  is passing through a medium of refractive index 1.5. If the phase velocity is 2 * 10⁸ m/s then the angular frequency of the wave will be 10ⁿ radian/sec. The value of n will be_________

Consider a electromagnetic wave propagating in free space. If  A /m , then the absolute value of E / H is_________________________ π( V / A ). (Answer should be an integer)

A charge particle of mass M is placed below the grounded infinite conducting plate lies in xy-plane. If the distance between the charge particle and plate is 2m then the magnitude of charge particle so that it remains stationary is  The value of n is _________________ (answer should be integer)

A plane electromagnetic wave has magnetic field  The average pointing vector is 

Which one is the correct representation for vector potential  if a uniform magnetic field of magnitude B₀ is applied along x-direction.

A magnetic dipole of moment  is placed in a magnetic field,  The force on the dipole is given by

Suppose a current-carrying wire has bent in the shape ass shown in the figure. The triangular part is an equilateral triangle of side a and the linear parts are assumed to be very long. The magnetic field at the centroid of the triangle is

A left circularly polarized beam  is incident on a crystal (with its optical axis cut parallel to the surface) if  then the state of polarization of the emergent beam will be 

A parallel-plate capacitor is charged to a potential V₀, charged Q₀ and then disconnected from the battery. The separation of the plates is then halved. The change of electrostatic energy is ____________Q₀V₀.
(Round off to two decimal places)

Suppose a current density in a long cylindrical conductor kept along r-direction is  where k is constant and r is radial distance from the axis of cylinder the magnetic induction  inside the conductor at distance a /2 from the axis of cylinder is ______  (Upto second decimal place)

Aii unpolarized light is passed through the arrangement of quarter-wave plate and polarizers as shown in figure. The intensity of light after passing through P₄ will be ______ I₀.

Dotted lilies shows the pass axis of polarizer and in polarizer 'P₃' z-axis is the pass axis.

A light of intensity I incident on a perfect reflecting wall of angle 30° with the normal to the wall. The pressure
on the wall will be ______ I/C. (answer should be upto one decimal places)

A sphere of linear dielectric material lias embedded in it a uniform free charge density ρ. If its radius R and its dielectric constant (k = 2), the potential at the centre of the sphere is ______  (Round off to two decimal places)