Assertion: Electric potential on the surface of a charged sphere of radius R is V. Then electric field at distance `r=R/2` from centre is `V/(2R)`. Charge is distributed uniformly over the volume.
Reason: From centre to surface, electric field varies linearly with r. Here r is distance from centre.

Options

A. If both Assertion and Reason are true but Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true, but the Reason is false.
D. If Assertion is false but the Reason is true.

Answer

B

Explanation

`V=(kq)/R or kq=VR`
For inside points `(rleR)`
`E=(kq)/R^3r`
or `Epropr`
At distance `r=R/2`
`E=((VR))/R^3 (R/2)=V/(2R)`