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Propagation Of Em Wave And Gauge Transformation MCQ Level - 2


10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Propagation Of Em Wave And Gauge Transformation MCQ Level - 2


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This mock test of Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 for Physics helps you for every Physics entrance exam. This contains 10 Multiple Choice Questions for Physics Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 quiz give you a good mix of easy questions and tough questions. Physics students definitely take this Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 exercise for a better result in the exam. You can find other Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 extra questions, long questions & short questions for Physics on EduRev as well by searching above.
QUESTION: 1

In a non-conducting medium characterized by ε = ε0 , μ = μ0 and conductivity  the electric field (in V/m) is given by The magnetic field  (in A/m), is given by

Solution:

We known

QUESTION: 2

Two conducting plates of infinite extent, one plate at z = 0 and other at z = 1, both parallel to xy-plane. Then the vector and scalar potential in the region between the plate is given by

The energy density at z = 0, t = 0 and α = π/2

Solution:


QUESTION: 3

Which one of the following current densities, can generate the magnetic vector potential

Solution:

We know that


QUESTION: 4

The amplitudes of electric and magnetic fields are related to each other by the relation
Solution:

Maxwell’s equation in free space are

Eq. (i) becomes

This equation in term of modulo

QUESTION: 5

A plane electromagnetic wave E2 = 100cos(6 × 108t + 4x)V/m propagates in a medium. Find the value of dielectric constant of the medium.
Solution:

We have E2 = 100 cos (6 × 108t + 4x)                 ....(i)
Comparing this with 
we get         ....(ii)
 k = 4        ....(iii)
Velocity of emf is given = ω/k

By Eq. (iii) refractive index of the medium

⇒ n = 2     ...(v)
The dielectric constant k = (n2)
k = (2)2
k = 4.0
The correct answer is: 4.0

QUESTION: 6

Which of the following expressions for a vector potential  does not represent a uniform magnetic field of magnitude  along the z-direction?
Solution:

Vector Potential 
So, Magnetic field can be written as.

⇒ 

∵  B0 is not along z-direction.

 satisfies the above condition.
The correct answer is:  

QUESTION: 7

An infinitely long hollow cylinder of radius R carrying a surface charge density σ is rotated about its cylindrical axis with a constant angular speed ω. The magnitude of the surface current is
Solution:

Applying Ampere’s law


The correct answer is: σR2ω

QUESTION: 8

In a homogeneous non-conducting region where  μr = 1, the value of εr will be:

Given 
Solution:


The correct answer is: 16

QUESTION: 9

The time averaged Poynting vector, in W/m2, for a wave with   in free space
Solution:

QUESTION: 10

Given  in free space, then    will be given as
Solution:


The correct answer is:  

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