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 the 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 any point on the spherical surface of radius $r (r < R)$ 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:

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Statement I is false but Statement II is true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Both Statement I and Statement II are true

answer is B.

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Detailed Solution

$\oint \vec{E} . \vec{ds} = \frac{q_{in}}{ε_{0}} = 0 = ϕ$
Flux of $\bar{E}$ through sphere is zero.
But $\oint \vec{E} . \vec{ds} = 0 \Rightarrow {\vec{E} . \vec{ds} \neq 0}$ for small section ds only
Statement II
Question Image
As charge encloses within Gaussian surface is equal to zero.
$ϕ = \oint \vec{E} . \vec{ds} = 0$
Option (2) Statement I correct Statement II false