Question

Assertion :The electrostatic force on a charged particle located on an equipotential surface is zero. Reason: $x$ component of electric field is given by, $E_x=-\frac{\delta V}{\delta x}$ and on equipotential surface potential $V$ is constant.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is not correct but Reason is correct

Answer 1

The correct option is D Assertion is not correct but Reason is correct

The potential at every point of the equipotential surface is same, so the potential is constant.
The work done on the charge is zero because $W=q.dV$ Thus, the work done on the charge by the electric field is zero. Generally, $E=-\frac{dV}{dx}$, and V is constant in equipotential surface. Thus, assertion is incorrect and reason is correct.