Q141 / 180 · JIPMER 2019 · Physics
If same charge $q$ is placed inside a sphere and cube having radius 1 m and side 2 m respectively. What will be the ratio of flux passing through them?
- Correct answerA$1: 1$
- B$1: 8$
- C$8: 1$
- D$1: 2$
Solution
According to Gauss's law, electric flux passing through a closed surface is equal to $\frac{1}{\varepsilon_0}$ times the charge (q) enclosed by the surface
i.e.
$\phi=\frac{\mathrm{q}}{\varepsilon_0}$
Since, cube and sphere, both enclose same charge, therefore flux passing through cube and sphere is same. i.e. $\phi_{\text {sphere }}=\phi_{\text {cube }}$
$\therefore \quad \phi_{\text {sphere }}: \phi_{\text {cube }}=1: 1$
Hence, the correct answer is option: 'A'.