Q120 / 200 · NEET 2023 (Manipur) · Physics

A charge $Q \mu C$ is placed at the centre of a cube. The flux coming out from any one of its faces will be (in SI unit)

  • A
    $\frac{Q}{6 \varepsilon_0} \times 10^{-3}$
  • Correct answer
    B
    $\frac{Q}{6 \varepsilon_0} \times 10^{-6}$
  • C
    $\frac{Q}{\varepsilon_0} \times 10^{-6}$
  • D
    $\frac{2 Q}{3 \varepsilon_0} \times 10^{-3}$

Solution

According to Gauss law, total electric flux through a closed surface is $\phi_{\text {net }}=\frac{q}{\varepsilon_0}$ $\therefore$ Total electric flux through the cube is $\phi_T=\frac{Q \times 10^{-6}}{\varepsilon_0}$ Since charge is placed at the centre of the cube, therefore flux through each face is same. Hence, $\phi=\frac{1}{6} \phi_T=\frac{1}{6} \times \frac{Q \times 10^{-6}}{\varepsilon_0}$

Hence, the correct answer is option: 'B'.

Relevant Questions