Propagation Of Em Wave And Gauge Transformation MCQ Level - 2

# Propagation Of Em Wave And Gauge Transformation MCQ Level - 2

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

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 for Physics 2023 is part of Topic wise Tests for IIT JAM Physics preparation. The Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 questions and answers have been prepared according to the Physics exam syllabus.The Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 MCQs are made for Physics 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 below.
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Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - 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

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 1

We known

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - 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

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 2

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 3

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

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 3

We know that

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 4

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

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 4

Maxwell’s equation in free space are

Eq. (i) becomes

This equation in term of modulo

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - 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.

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 5

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

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 6

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

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 6

Vector Potential
So, Magnetic field can be written as.

⇒

∵  B0 is not along z-direction.

satisfies the above condition.

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - 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

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 7

Applying Ampere’s law

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 8

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

Given

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 8

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 9

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

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 9

Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 10

Given  in free space, then    will be given as

Detailed Solution for Propagation Of Em Wave And Gauge Transformation MCQ Level - 2 - Question 10

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