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Q.

A molecule with a dipole moment p is placed in 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

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a

2pE

b

– 2pE

c

– pE

d

pE

answer is D.

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Detailed Solution

$\begin{array}{l} W = PE (\cos θ_{1} - \cos θ_{2}); θ_{1} = 0^{0}, θ_{2} = 180^{\circ} \\ W = PE (1 - (- 1)) = 2 PE \end{array}$

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A molecule with a dipole moment p is placed in 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