Assertion :The electric potential due to an electric dipole at a point on the perpendicular bisector of the dipole axis is $0$ . Reason: Any point on the perpendicular bisector of the dipole axis is equidistant from the the two equal and opposite charges.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
From figure, $A P = B P = r$ (as A and B are equidistant from point P)
Electric potential at a point P, $V_{p} = V_{A} + V_{B}$
$∴$ $V_{p} = \frac{k (- q)}{r} + \frac{k (q)}{r}$
$⟹$ $V_{p} = 0$
Thus both the statements are true and the reaon explains the assertion very well.

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Assertion :The electric potential due to an electric dipole at a point on the perpendicular bisector of the dipole axis is 0. Reason: Any point on the perpendicular bisector of the dipole axis is equidistant from the the two equal and opposite charges.

Assertion :The electric potential due to an electric dipole at a point on the perpendicular bisector of the dipole axis is $0$ . Reason: Any point on the perpendicular bisector of the dipole axis is equidistant from the the two equal and opposite charges.