IIT JAM Physics Mock Test - 6 - Physics MCQ

The electric potential in a region is represented as v = 2x + 3y -z, obtain expression for the electric field strength?

A uniform dielectric ball is placed in a uniform electric field of strength  under these conditions the dielectric becomes polarized uniformly. The electric field strength  inside the ball is ____. 

A parallel plate air capacitor is made using two square plates each of side 0.2m, spaced 1 cm apart. It is connected to a 50 V battery. What is the energy stored in the capacitor?

A particle of positive charge Q = Ze where, Z is an integer is having a fixed position P. Another charged particle of mass m and charge e moves at a constant speed in a circle of radius r₁, with centre at P. Find the work that must be done to increase the radius of circle to r₂.

A plane electromagnetic wave travelling in a vacuum is characterized by the electric and magnetic fields

It ω and k are positive, then the value of H₀ must be

Consider two charges +Q and -Q placed at the points (a.O) and (-a.O) in a plane, as shown is the figure on the right. If the origin is moved to the point (x.y). the magnitude of the dipole moment of the given charge distribution with respect to this origin will be

Two concentric coplanar semicircular conductors from part of two current loops as shown in figure. If there radii are 11 cm and 4 cm. The magnetic induction at the centre is (in 10^-5 w_b/m²)

A long straight conductor is bent at angle of 90⁰ as shown in the figure. The magnetic field induction at A is

A beam of protons with a velocity 4 x 10⁵ m/sec. Enters a uniform magnetic field of 0.3 T at an angle 60⁰ to the magnetic field. The pitch of helix is?

An a.c. voltage source is connected across a parallel plate capacitor. The value of displacement current is —

If the earth receives 2 cal min^-1 cm^-2 solar energy. The amplitude of magnetic fields of radiation is

The magnetic field associated with the electric field vector  is given by

The current flowing in a coil of self-inductance L is given by  ampere. where a and A are constants. The potential difference between the ends of the coil will be:

Solving Poisson's equation  for the electrostatic potential  in a region with a constant charge density  two students find different answers. 

The reason why these different solutions are both correct is because

An electric dipole is constructed by fixing two circular charged rings, each of radius a, with an insulating contact (see figure). One of these rings has total charge +Q and the other has total charge -Q. If the charge is distributed uniformly along each ring, the dipole moment about the point of contact will be

The field potential in a certain region of space depends only on the x coordinate as  where a and b are constants.
Then charge density ρ(x) is

Charge is distributed uniformly throughout the long non-conducting cylinder of radius R. Which one of the following graphs best represents the magnitude of the resulting electric field E as a function of r, the distance from the axis of the cylinder?

The total potential due to an electric dipole "p" placed at the origin is known to be the form f(r)  The total flux of the electric field through a spherical surface of radius 'R' with the dipole at the centre is given by :-

In the following circuit, the AC source is an ideal voltage source. What is the amplitude of the  steady state current through the inductor at resonance

The capacitance of a cylindrical capacitor whose is comprised of two cylindrical  shells of radius r₁ & r₂ length (I) is (r₁ < r₂)

An infinitely long hollow cylinder of radius a carrying a surface change density σ is rotated about its cylindrical axis with a constant angular speed ω. Then the magnitude of vector potential outside the cylinder at a distance r from its axis is

The electric and magnetic fields in the space are
 being unit vectors in x and y directions respectively. The Poynting vector in this region is

A plane electromagnetic wave has the magnetic field given by

where k is the wave number and  are the Cartesian unit vectors in X, Y and Z-directions, respectively.
Then, the electric field  corresponding to the above wave, is given by

If points in x- direction and points in Z-direction. and a particle of mass m and charge Q at rest is released from origin, then particle will follow cycloidal path. Which of the following coupled differential equation represents cycloidal path ( where )

A thin conducting wire is bent into a circular loop of radius r and placed in a time-dependent magnetic field of magnetic induction  Such that the plane of loop is perpendicular to  Then the induced emf in the loop is

If at t = 0. the charge density in a medium having conductivity σ and permittivity ε is  then the charge density  at any later time t is given by

A plane electromagnetic wave has the magnetic field given by

where k is the wave number and are the Cartesian unit vectors in x, y and z directions, respectively, then the corresponding electric field is given by