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Q.

If a charge q is placed at the centre of a hemispherical body as shown below then the flux linked with the curved surface is

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a

$\frac{q}{ε_{0}}$

b

$\frac{q}{2 ε_{0}}$

c

$\frac{q}{2 {πε}_{0}}$

d

$\frac{2 q}{ε_{0}}$

answer is B.

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Detailed Solution

Flux linked with Gaussian surface $= \frac{q}{ϵ_{0}}$
Flux linked with given surface $= \frac{q}{2 ϵ_{0}}$

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If a charge q is placed at the centre of a hemispherical body as shown below then the flux linked with the curved surface is