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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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 30

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Assertion : point charge is brought in an electric field. The field at a nearby point icnreases, whatever be the nature of the charge.

Reason : The electric field is independent of the nature of charge.

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Important Questions on Electrostatics

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 31

Assertion: The surface of a conductor is an equipotential surface.

Reason: Conductor allows the flow of charge.

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 32

Assertion : A charged particle free to move in an electric field always move along an electric line of force.

Reason : The electric line of force diverge from a positive charge and converge at a negative charge.

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 33

Assertion : An applied electric field will polarize the polar dielectric material.

Reason : In polar dielectrics, each molecule has a permanent dipole moment but these are randomly oriented in the absence of an externally applied electric field.

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-2>Q 34

Assertion: Gravitational force between nucleus and electron in an atom is negligible to the electrical force.

Reason: The electrical force is experienced by charged particles only.

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 1

The electric potential at a point

(x, y, z)

is given by

V = - x^{2} y - x z^{3} + 4

. The electric field

\vec{E}

at that point is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 2

The electric field at a distance

\frac{3 R}{2}

from the centre of a charged conducting spherical shell of radius

R

is

E

. The electric field at a distance

\frac{R}{2}

from the centre of the sphere is

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

A charge

Q

is enclosed by a Gaussian spherical surface of radius

R

. If the radius is doubled, then the outward electric flux will

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-3>Q 4

Four electric charges $+ q, + q, - q$ and $- q$ are placed at the corners of a square of side $2 L .$ The electric potential at point $A,$ midway between the two charges $+ q$ and $+ q,$ is