A charge Q is distributed over three concentric spherical shells of radii a , b , c a < b < c such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r < a , would be:

Q a + b + c 4 π ϵ 0 a 2 + b 2 + c 2

Q a 2 + b 2 + c 2 4 π ϵ 0 a 3 + b 3 + c 3

Q 12 π ϵ 0 a b + b c + c a a b c

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An electron falls from rest through a vertical distance $h$ in a uniform and vertically upward directed electric field $E$ . The direction of electric field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest in it through the same vertical distance $h$ . The time of fall of the electron, in comparison to the time of fall of the proton is

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Important Questions on Electrostatics

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 21

A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field

\vec{E}

. Due to the force

q \vec{E}

, its velocity increases from 0 to

6 m s^{- 1}

in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between

0

3

seconds are respectively

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 22

Two points

P

and

Q

are maintained at the potentials of

10 V

and

- 4 V,

respectively. The work done in moving

100

electrons from

P

Q

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 23

A charge

Q

is placed at each of the opposite corners of a square. A charge

q

is placed at each of the other two corners. If the net electrical force on

Q

is zero, then

\frac{Q}{q}

equals:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 24

Statement $1$ : For a charged particle moving from point $P$ to point $Q,$ the net work done by an electrostatic field on the particle is independent of the path connecting point $P$ to point $Q .$

Statement $2$ : The net work done by a conservative force on an object moving along a closed loop is zero.

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 26

Two identically charged spheres are suspended by strings of equal lengths. The strings make an angle of

30 °

with each other. When suspended in a liquid of density

0.8 g {cm}^{- 3},

the angle remains the same. If the density of the material of the sphere is

1.6 g {cm}^{- 3},

the dielectric constant of the liquid is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 27

The electrostatic potential inside a charged spherical ball is given by

ϕ = a r^{2} + b

, where

r

is the distance from the centre,

a, b

are constants. Then the charge density inside the ball is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 28

Two identical charged spheres suspended from a common point by two massless strings of length

l

are initially a distance

d (d < < l)

apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate. As a result, the charges approach each other with a velocity

v .

Then as a function of distance

x

between them

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 29

Two positive charges of magnitude

q

are placed at the ends of a side (side

1

) of a square of side

2 a

. Two negative charges of the same magnitude are kept at the other corners. Starting from rest, if a charge

Q

moves from the middle of side

1

to the centre of square, its kinetic energy at the centre of square is,

Important Questions on Electrostatics

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