Given below are two statements :

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 the electric field is not zero anywhere in the sphere.

Statement II : If $R$ is the radius of a solid metallic sphere and $\mathrm{Q}$ be the total charge on it. The electric field at any point on the spherical surface of radius $r(

  1. Both Statement I and Statement II are true

  2. Statement I is true but Statement II is false

  3. Both Statement I and Statement II are false

  4. Statement I is false but Statement II is true.


Correct Option: , 2

Solution:

$\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{ds}}=\frac{\mathrm{q}_{\mathrm{in}}}{\varepsilon_{0}}=0=\phi$

Flux of $\overrightarrow{\mathrm{E}}$ through sphere is zero.

But $\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{ds}}=0 \Rightarrow\{\overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{ds}} \neq 0\}$ for small section $\mathrm{ds}$

only

Statement-2

As change encloses within gaussian surface is equal to zero.

$\phi=\oint \overrightarrow{\mathrm{E}} \cdot \overline{\mathrm{ds}}=0$

Option(2) statement- 1 correct statement- 2 false.

 

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