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-1>Q 24

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Two spheres of radii $2 cm$ and $4 cm$ are charged equally, then the ratio of charge density on the surfaces of the spheres will be -

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Important Questions on Electrostatics

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 25

Total charge on a sphere of radii

10 cm

is

1 μ C .

The maximum electric field due to the sphere in

N C^{- 1}

will be-

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 26

A charged water drop of radius

0.1 μm

is under equilibrium in some electric field. The charge on the drop is equivalent to electronic charge The intensity of electric field is

(g = 10 m s^{- 2}) -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 27

Two large sized charged plates have a charge. density of

+ σ

and

- σ .

The_resultant force on the proton located midway between them will be -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 28

Two parallel charged plates have a charge density

+ σ

and

- σ .

The resultant force on the proton located outside the plates at some distance will be -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 29

The charge density of an insulating infinite surface is

(\frac{e}{π}) C m^{- 2}

then the field intensity at a nearby point in volt/meter will be -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 30

There is a uniform electric field in

X

-direction. If the work done by an external agent in moving a charge of

0.2 C

through a distance of

2 m

slowly along the line making an angle of

60 °

with

X

-direction is

4 joule

, then the magnitude of

E

is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 31

A simple pendulum has a length $ℓ,$ mass of bob $m .$ The bob is given a charge $q$ coulomb. The pendulum is suspended to a uniform horizontal electric field of strength $E$ as shown in the figure, then calculate the time period of oscillation when the bob is slightly displaced from its mean position is:

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