Question

Assertion :In case of charged spherical shells, E-r graph is discontinuous while V-r graph is continuous. Reason: According to Gauss theorem the charge inside a closed surface can only produce electric field at some point.

• 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. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

The Electric field inside the spherical shell is $0$ by Gauss' law. But at surface, it is given as $E=Q/4\pi {ϵ}_o{R}^2$. So the $E-r$ graph is discontinuous.

While potential inside the spherical shell is $V=kQ/r,r<R$

At surface and outside, $V=kQ/R$

So the V-r graph is continuous.

So assertion is correct.

The reason is incorrect, as any charge can produce electric field at any point, not just charge inside a closed surface.