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 answer
    A
    $1: 1$
  • 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'.

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