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Question

Question: A molecule with a dipole moment p is placed in an electric field of strength E. Initially the dipole...

A molecule with a dipole moment p is placed in an electric field of strength E. Initially the dipole is aligned parallel to the field. If the dipole is to be rotated to be anti-parallel to the field, the work required to be done by an external agency is

A

– 2pE

B

– pE

C

pE

D

2pE

Answer

2pE

Explanation

Solution

W=PE(1cosθ)W = PE(1 - \cos\theta) here θ = 180o

W = PE(1cos180o)PE(1 - \cos 180^{o}) = PE[1(1)]=2PEPE\lbrack 1 - ( - 1)\rbrack = 2PE