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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Physics
Chapter
Electrostatics

BITSAT 2023 · Paper 2 · Physics · Electrostatics

In a cuboid of dimension 2 L × 2 L × L , a charge q is placed at...

In a cuboid of dimension 2L×2L×L2 \mathrm{ L} \times 2 \mathrm{ L} \times \mathrm{L}, a charge qq is placed at the centre of the surface ' SS ' having area of 4L24 \mathrm{ L}^2. The flux through the opposite surface to ' S\mathrm{S} ' is given byIn a cuboid of dimension 2 L × 2 L × L , a charge q is placed at the centre of the surface ' S ' having area of 4 L^2 .

Options

  1. Aq12ε0\frac{\mathrm{q}}{12 \varepsilon_0}
  2. Bq3ε0\frac{\mathrm{q}}{3 \varepsilon_0}
  3. Cq2ε0\frac{\mathrm{q}}{2 \varepsilon_0}
  4. Dq6ε0\frac{q}{6 \varepsilon_0}

Correct answer

D. q6ε0\frac{q}{6 \varepsilon_0}

Step-by-step solution

After placing similar cubic at the bottom, we get cube of side 2L2 \mathrm{ L} having change q\mathrm{q} at its centre.

From the Gauss's law electric flux through whole
In a cuboid of dimension 2 L × 2 L × L , a charge q is placed at the centre of the surface ' S ' having area of 4 L^2 .

Flux passing through shaded face
ϕ=q/ε06=q6ε0\phi=\frac{\mathrm{q} / \varepsilon_0}{6}=\frac{\mathrm{q}}{6 \varepsilon_0}
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