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A molecule of a substance has permanent dipole moment p . A mole of this substance is polarised by applying a strong electrostatic field E. The direction of the field is suddenly changed by an angle of $60^{o}$ . If N is the Avagadro's number, the amount of work done by the field is :

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$\frac{1}{2} N p E$

$\frac{3}{2} N p E$

$N p E$

$2 N p E$

answer is A.

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Detailed Solution

$\begin{array}{l} θ_{1} = 0^{0}, θ_{2} = 60^{0} \\ W = N P E (\cos θ_{1} - \cos θ_{2}) \\ = N P E (\cos 0^{0} - \cos 60^{0}) \\ = \frac{1}{2} N P E \end{array}$

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