An electric dipole of moment p is lying along a uniform electric field E. The work done in rotating the dipole through (πc)/(3) is [sin 30° = cos 60° = 0.5, cos 30° = sin 60° = √(3)/2] (a) 3 pE (b) √(2)pE (c) pE (d) pE/2

Answer: (d). W = pE(cos θ₁ - cos θ₂) with θ₁ = 0, θ₂ = 60°. W = pE(1 - 0.5) = pE/2 So the answer is (d) pE/2.

An electric dipole of moment p is lying along a uniform electric… | MHT CET 2024 (3 May, Shift 1)

Q36MHT CET 2024 · 3 MAY · SHIFT 1Medium

Electric Dipole

An electric dipole of moment $\vec{p}$ is lying along a uniform electric field $\vec{E}$ . The work done in rotating the dipole through $\frac{\pi^c}{3}$ is $\left[\sin 30^\circ = \cos 60^\circ = 0.5,\ \cos 30^\circ = \sin 60^\circ = \sqrt{3}/2\right]$

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Answer: (d)

$W = pE(\cos\theta_1 - \cos\theta_2)$ with $\theta_1 = 0$ , $\theta_2 = 60^\circ$ .
$W = pE(1 - 0.5) = \frac{pE}{2}$
So the answer is (d) $\frac{pE}{2}$ .

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