GATE PH 2020 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

A uniform magnetic field

exists in an inertial frame

. A perfect conducting sphere moves with a constant velocity

with respect to this inertial frame. The rest frame of the sphere is

(see figure). The electric and magnetic fields in

and

are related as

The induced surface charge density on the sphere (to the lowest order in

) in the frame

Your answerChoose one option.

maximum along

uniform over the sphere

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A charge

moving with uniform speed enters a cylindrical region in free space at

and exits the region at

(see figure). Which one of the following options best describes the time dependence of the total electric flux

, through the entire surface of the cylinder?

Your answerChoose one option.

Diagram for Physics question 34 (figure 2)

Diagram for Physics question 34 (figure 3)

Diagram for Physics question 34 (figure 4)

Diagram for Physics question 34 (figure 5)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a one-dimensional non-magnetic crystal with one atom per unit cell. Assume that the valence electrons (i) do not interact with each other and (ii) interact weakly with the ions. If

is the number of valence electrons per unit cell, then at 0 K,

Your answerChoose one option.

the crystal is metallic for any value of

the crystal is non-metallic for any value of

the crystal is metallic for even values of

the crystal is metallic for odd values of

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

2020 · Paper 1

Question 33

Question 34

Question 35