Given below are two statements: one is labelled a
Assertion $(A)$ and the other is labelled as Reason$(R)$
$Assertion$ $(A)$ : Work done by electric field on moving a positive charge on an equipotential surface is always zero.
$Reason$ $(R)$ : Electric lines of forces are always perpendicular to equipotential surfaces.
In the light of the above statements, choose the most appropriate answer from the options given below
Both $(A)$ and $(R)$ are correct but $(R)$ is not the correct explanation of $(\mathrm{A})$
$(A)$ is correct but $(R)$ is not correct
$(A)$ is not correct but $(R)$ is correct
Both $(A)$ and $(R)$ are correct and $(R)$ is the correct explanation of $(A)$
A point charge $+Q$ is placed just outside an imaginary hemispherical surface of radius $R$ as shown in the figure. Which of the following statements is/are correct?
(IMAGE)
$[A]$ The electric flux passing through the curved surface of the hemisphere is $-\frac{\mathrm{Q}}{2 \varepsilon_0}\left(1-\frac{1}{\sqrt{2}}\right)$
$[B]$ Total flux through the curved and the flat surfaces is $\frac{Q}{\varepsilon_0}$
$[C]$ The component of the electric field normal to the flat surface is constant over the surface
$[D]$ The circumference of the flat surface is an equipotential
Electric field is always ...... to the equipotential surface at every point. (Fill in the gap)
Assertion $(A):$ A spherical equipotential surface is not possible for a point charge.
Reason $(R):$ A spherical equipotential surface is possible inside a spherical capacitor.
Define an equipotential surface.
Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.