Electric Charges and Fields · NEET Preparation Physics

An electric dipole of dipole moment P is placed in a uniform electric field E with its axis making an angle of 37^circ with the field. The work requi…

Practice question from Electric Charges and Fields (NEET Preparation Physics), with the correct answer and a step-by-step solution.

hard · MCQ · Q-9A89F2

An electric dipole of dipole moment PP is placed in a uniform electric field EE with its axis making an angle of 37∘37^\circ with the field. The work required to rotate the dipole until it is aligned antiparallel to the electric field is:

  1. A.−PE(0.2)-PE(0.2)
  2. B.PE(1.8)PE(1.8)Correct answer
  3. C.PE(1.2)PE(1.2)
  4. D.PE(0.8)PE(0.8)

Solution

Work done in rotating an electric dipole from angle θ1\theta_1 to θ2\theta_2 in a uniform electric field is W=PE(cos⁡θ1−cos⁡θ2)W = PE(\cos\theta_1 - \cos\theta_2). Here, θ1=37∘\theta_1 = 37^\circ and θ2=180∘\theta_2 = 180^\circ. We know cos⁡37∘=4/5=0.8\cos 37^\circ = 4/5 = 0.8 and cos⁡180∘=−1\cos 180^\circ = -1. Thus, W=PE(0.8−(−1))=PE(0.8+1)=1.8PEW = PE(0.8 - (-1)) = PE(0.8 + 1) = 1.8PE.

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