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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Electrostatics

NEET 2023 · Physics · Electrostatics

A charge Q μ C is placed at the centre of a cube. The flux coming...

A charge QμCQ \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)

Options

  1. AQ6ε0×10−3\frac{Q}{6 \varepsilon_0} \times 10^{-3}
  2. BQ6ε0×10−6\frac{Q}{6 \varepsilon_0} \times 10^{-6}
  3. CQε0×10−6\frac{Q}{\varepsilon_0} \times 10^{-6}
  4. D2Q3ε0×10−3\frac{2 Q}{3 \varepsilon_0} \times 10^{-3}

Correct answer

B. Q6ε0×10−6\frac{Q}{6 \varepsilon_0} \times 10^{-6}

Step-by-step solution

According to Gauss law, total electric flux through a closed surface is ϕnet =qε0∴\phi_{\text{net }}=\frac{q}{\varepsilon_0} \therefore Total electric flux through the cube is ϕT=Q×10−6ε0\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, ϕ=16ϕT=16×Q×10−6ε0\phi=\frac{1}{6} \phi_T=\frac{1}{6} \times \frac{Q \times 10^{-6}}{\varepsilon_0}
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