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CUET · PHYSICS · PYQ PAPER 2023

Two charges of -2 \(\mu C\) and +2 \(\mu C\) are placed at the point A (0, 2, 0) m and B (0, -2, 0) m located in an electric field \(E = 0.5i\) V/cm. The magnitude of torque acting on the dipole is:

  1. A zero
  2. B \(2 \times 10^{-4}\) N-m
  3. C \(4 \times 10^{-4}\) N-m
  4. D \(8 \times 10^{-4}\) N-m
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \times 10^{-4}\) N-m

Step-by-step Solution

Detailed explanation

\(\vec{d} = (0, -2, 0) - (0, 2, 0) = -4\hat{j}\) m \(\vec{p} = q\vec{d} = (2 \times 10^{-6} \, C)(-4\hat{j} \, m) = -8 \times 10^{-6}\hat{j}\) C-m \(\vec{E} = 0.5\hat{i} \, V/cm = 0.5 \times 100\hat{i} \, V/m = 50\hat{i}\) V/m…
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