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MHT CET 2026 (18 Apr, Shift 1) · Electric Dipole

Electric Dipole question from MHT CET 2026 (18 Apr, Shift 1)

Q10MHT CET 2026 · 18 APR · SHIFT 1Medium

Electric Dipole

When a dipole placed parallel to electric field is rotating through πc\pi^c, the work done is W. The work done in rotating the dipole through (π3)c\left(\frac{\pi}{3}\right)^c is

(cos⁡0∘=1, cos⁡60∘=12, cos⁡180∘=−1\cos 0^\circ = 1,\ \cos 60^\circ = \frac{1}{2},\ \cos 180^\circ = -1)

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Answer: (a)

  1. Work from the parallel position: Wθ=pE(1−cos⁡θ)W_\theta = pE(1 - \cos\theta).
  2. θ=π\theta = \pi: W=pE(1+1)=2pEW = pE(1 + 1) = 2pE
  3. θ=π3\theta = \frac{\pi}{3}: W′=pE(1−12)=pE2=W4W' = pE\left(1 - \frac{1}{2}\right) = \frac{pE}{2} = \frac{W}{4}
  4. So the answer is (a) W4\frac{W}{4}.
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