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Question

An electric dipole is placed at the centre of a sphere, choose the correct options :

A
electric field is zero at every point on the surface
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B
flux is zero across the surface
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C
no circle is present in the sphere which is equipotential
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D
none of the above
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Solution

The correct option is B flux is zero across the surface
A dipole contains two equal and opposite charge. So total charge inside the sphere will be zero.
By Gauss's law, the flux across a surface is depends on the charge inside the surface. As total charge is zero inside the sphere so the flux through the sphere will be zero.
As the electric field is resultant effect due to all charges so there will be field exists on the surface.
As the sphere contains two equal and opposite charges so there may be exists equipotential surface in the sphere.

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