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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Physics
Chapter
Capacitance

BITSAT 2023 · Paper 1 · Physics · Capacitance

The work done in placing a charge of 8 × 10^ -18 coulomb on a...

The work done in placing a charge of 8×10−188 \times 10^{-18} coulomb on a condenser of capacity 100 microfarad is

Options

  1. A3.1×10−263.1 \times 10^{-26} joule
  2. B4×10−104 \times 10^{-10} joule
  3. C32×10−3232 \times 10^{-32} joule
  4. D16×10−3216 \times 10^{-32} joule

Correct answer

C. 32×10−3232 \times 10^{-32} joule

Step-by-step solution

Work done =12q2C=(8×10−18)22×100×10−6=\frac{1}{2} \frac{\mathrm{q}^2}{\mathrm{C}}=\frac{\left(8 \times 10^{-18}\right)^2}{2 \times 100 \times 10^{-6}}
=32×10−32J=32 \times 10^{-32} \mathrm{ J}
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