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JEE 2020 Physics: Electric Charges, Fields, & Flux Quiz -2 (13.06.2019)

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Question 1

An imaginary, closed spherical surface S of radius R is centered on the origin. A positive charge

is originally at the origin and electric flux through the surface is

. Three additional charges are now added along the x axis -3q at

and

The flux through S is now

Question 2

An isolated sphere of radius

contains uniform volume distribution of positive charge. Which of the curves shown below correctly illustrates the dependence of the magnitude of the electric field of the sphere as a function of the distance

from its centre?

Question 3

A cone of base radius R and height h is located in a uniform electric field

parallel to its base. The electric flux entering the cone is :

Question 4

A liquid drop having 6 excess electrons is kept stationary under a uniform electric field of

The density of liquid is

The radius of the drop is (neglect buoyancy).

Question 5

There is a uniform spherically symmetric surface charge density at a distance R₀ from the origin. The charge distribution is initially at rest and starts expanding because of mutual repulsion. The figure that represents best the speed V(R(t)) of the distribution as a function of its instantaneous radius R(t) is:

Question 6

If the electric flux entering and leaving an enclosed surface respectively is φ₁ and φ₂, the electric charge inside the surface will be

Question 7

The electrostatic potential inside a charged spherical ball is given by Φ = a r² + b where r is the distance from the centre (a, b are constants). Then the charge density inside the ball is

Question 8

Four closed surfaces and corresponding charge distributions are shown below.

Let the respective electric fluxes through the surfaces be

. Then:

Question 9

The top of the atmosphere is about 400 kV with respect to the surface of the earth, corresponding to an electric field that decreases with altitude. Near the surface of the earth, the field is about 100 Vm^-1.
Still, we do not get an electric shock as we stop out of our house into the open house, because (assume the house to be a steel cage so that there is no field inside)

Question 10

A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range 0 ≤ r < ∞, where r is the distance from the center of the shell?

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