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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 IIT JAM helps you for every IIT JAM entrance exam. This contains 10 Multiple Choice Questions for IIT JAM 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. IIT JAM 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 IIT JAM on EduRev as well by searching above.
QUESTION: 1

Solution:

We known

QUESTION: 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

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.

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

QUESTION: 8

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

Given

Solution:

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: