Question

If the number of electric lines of force emerging out of a closed surface is 1000, then the charge enclosed by the surface is

• A. $8.854\times {10}^{-9}C$
• B. $8.854\times {10}^{-4}C$
• C. $8.854\times {10}^{-1}C$
• D. $8.854C$

Answer 1

The correct option is A $8.854\times {10}^{-9}C$

Given that $\varphi$, no. of field lines $=1000$

From gauss law,

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

$\therefore 1000=\frac{Q_{inc}}{8.85\times {10}^{-12}}$

$\Rightarrow Q_{inc}=8.85\times {10}^{-12}\times 1000$

$=8.854\times {10}^{-9}C$

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