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Question

Given below are two statements.

Statement I : An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero, but electric field is not zero anywhere in the sphere.

Statement II : If R is the radius of a solid metallic sphere and Q be the total charge on it. The electric field at a point on the spherical surface of radius r (<R) is zero, but the electric flux passing through this closed spherical surface of radius r is not zero.

In the light of the above statements, choose the correct answer from the options given below.

A
Statement I is true, but statement II is false.
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B
Statement I is false, but statement II is true.
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C
Both statement I and statement II are true.
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D
Both statement I and statement II are false.
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Solution

The correct option is A Statement I is true, but statement II is false.
We know that, electric flux,
ϕ=qenclosedϵo

As qenclosed=q+(q)=0ϕ=0

But, Einside0 as there is net field due to both charges.

So, statement 1 is true.

Also, for a conducting sphere of radius R, all the charges reside on its surface.

Therefore, the electric flux passing through the closed spherical surface of radius r(<R) is zero as qenclosed=0.

And, the electric field inside the conductor is zero.

So, statement 2 is false.

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