Electric Charges and Fields - Result Question 17
17. An electric dipole of dipole moment $p$ is aligned parallel to a uniform electric field $E$. The energy required to rotate the dipole by $90^{\circ}$ is
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======= ####17. An electric dipole of dipole moment $p$ is aligned parallel to a uniform electric field $E$. The energy required to rotate the dipole by $90^{\circ}$ is
c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) $p E^{2}$
(b) $p^{2} E$
(c) $p E$
(d) infinity
[NEET Kar. 2013]
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Answer:
Correct Answer: 17. (c)
Solution:
- (c) When electric dipole is aligned parallel $\theta=0^{\circ}$ and the dipole is rotated by $90^{\circ}$ i.e., $\theta=90^{\circ}$.
Energy required to rotate the dipole
$\begin{aligned} W & =U_f-U_i=(-p E \cos 90^{\circ})-(-p E \cos 0^{\circ}) \\ & =p E .\end{aligned}$