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NEET 2006
Exam
NEET
Year
2006
Subject
Physics
Chapter
Electrostatics

NEET 2006 · Physics · Electrostatics

An electric dipole of moment p is lying along a uniform electric...

An electric dipole of moment p⃗\vec{p} is lying along a uniform electric field E⃗\vec{E}. The work done in rotating the dipole by rotating the dipole by 90 degrees:

Options

  1. ApEp E
  2. B2pE\sqrt{2} p E
  3. CpE/2p E / 2
  4. D2PE2 P E

Correct answer

A. pEp E

Step-by-step solution

Work doneW=∫0\thetaPEsin⁡\thetadθ=PE(1−cos⁡θ)∴ Since θ=90∘W=PE(1−cos⁡90)Q=PE\begin{aligned}W & =\int_0^\thetaP E \sin \thetad \theta\\ & =P E(1-\cos \theta)\\ \therefore \quad \text{ Since } \theta& =90^{{}^{\circ}} \\ W & =P E(1-\cos 90) \\ Q & =P E \end{aligned}
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