An electric dipole is placed at a distance of 2 cm from an infinite...

An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density

\sigma_{\mathrm{o}}

. Choose the correct option from the following. An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density σ_ o .

An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density σ_ o .

Options

APotential energy and torque both are maximum.
BTorque on dipole is zero and net force is directed away from the sheet.
CTorque on dipole is zero and net force acts towards the sheet.
DPotential energy of dipole is minimum and torque is zero.

Correct answer

D. Potential energy of dipole is minimum and torque is zero.

Step-by-step solution

Electric field due to sheet

E=\frac{\sigma}{2 \varepsilon_0}

and torque on dipole

\vec{\tau}=\vec{P} \times \vec{E}

here

\vec{\tau}=0

and

U=-\vec{P} \cdot \vec{E} \rightarrow

should be minimum

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