An electric dipole of moment $$p$$ is placed in an electric field of intensity $$E.$$ The dipole acquires a position such that the axis of the dipole makes an angle $$\theta$$ with the direction of the field. Assuming that the potential energy of the dipole to be zero when $$\theta = 90^{\circ}$$, the torque and the potential energy of the dipole will respectively be:
1. $$pE\text{sin}\theta, ~-pE\text{cos}\theta$$
2. $$pE\text{sin}\theta, ~-2pE\text{cos}\theta$$
3. $$pE\text{sin}\theta, ~2pE\text{cos}\theta$$
4. $$pE\text{cos}\theta, ~-pE\text{sin}\theta$$

Subtopic: Â Energy of Dipole in an External Field |
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From NCERT
AIPMT - 2012
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An electric dipole of moment $$\vec {p}$$ is lying along a uniform electric field $$\vec{E}$$. The work done in rotating the dipole by $$90^{\circ}$$ is:
1. $$\sqrt{2}pE$$
2. $$\dfrac{pE}{2}$$
3. $$2pE$$
4. $$pE$$

Subtopic: Â Energy of Dipole in an External Field |
Â 82%
From NCERT
AIPMT - 2006
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