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 \(r ( < R )\) 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:

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

(B) Statement \(I\) is true but Statement \(II\) is false

Detailed explanation

\(\oint \vec{E} \cdot \overline{d s}=\frac{q_{i n}}{\varepsilon_{0}}=0=\phi\)

Flux of \(\overrightarrow{ E }\) through sphere is zero.

But \(\oint \overrightarrow{ E } \cdot \overline{ d s}=0 \Rightarrow\{\overrightarrow{ E } \cdot \overline{ d } \neq 0\}\) for small section \(ds\)

only

Statement\(- 2\)

As change encloses within gaussian surface is equal to zero.

\(\phi=\oint \overrightarrow{ E } \overline{ ds }=0\)

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