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CUET · PHYSICS · PYQ PAPER 2025

A metal cube of side 0.1 m is uniformly charged by 18 \( \mu C \). Its surface charge density will be

  1. A \( 18.8 \times 10^{-4} \, C \, m^{-2} \)
  2. B \( 18 \times 10^{-3} \, C \, m^{-2} \)
  3. C \( 3 \times 10^{-4} \, C \, m^{-2} \)
  4. D \(3 \times 10^{-3} \, C \, m^{-2} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( 3 \times 10^{-4} \, C \, m^{-2} \)

Step-by-step Solution

Detailed explanation

\( A = 6 L^2 = 6 (0.1 \, m)^2 = 0.06 \, m^2 \) \( \sigma = \frac{Q}{A} = \frac{18 \times 10^{-6} \, C}{0.06 \, m^2} = 3 \times 10^{-4} \, C \, m^{-2} \)
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