Question

The flux of the electric field due to charges distributed in a sphere of radius $5$ cm is $10$ Vm. What will be the electric flux, through a concentric sphere of radius $10$ cm ?

• A. $20Vm$
• B. $30Vm$
• C. $5Vm$
• D. $10Vm$

Answer 1

The correct option is D $10Vm$

Given :- ${\varphi }_A=10Vm$

$r=5cm=5\times {10}^{-2}m$

Now, from Gauss law,

$\varphi =\frac{Q_{inc}}{{\epsilon }_0}$

$\therefore$ we can conclude from Gauss law that flux is a quantity which depend on the total charge inside the gaussion surface.

Now, Initially charge contained is same as finally,

$\therefore$ flux will also be some,

$\Rightarrow {\varphi }_B=10Vm$ through a surface of $10cm$

$\therefore$ Option (D) is the correct answer.