JEE PHYSICS MCQ: ELECTRIC FIELDS AND CHARGES

1 Hard

1 of 1

Application +4 | -1

Let there be a spherically symmetric charge distribution with charge density varying as

\rho(r)=\rho_0\left[\frac{2}{3}-\frac{2 r}{R}\right]

upto

r=R

and

\rho(r)=0

for

r>R

, where

r

is the distance from origin. The electric field at a distance

r(r < R)

from the origin is given by:

View answer and explanation

Correct option: B

\frac{\rho_0 r}{\varepsilon_0}\left[\frac{2}{9}-\frac{r}{2 R}\right]

Option B is correct because the electric field is calculated using Gauss's law by integrating the charge density over a spherical volume and then applying the formula E = Kq/r².

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