Q95 / 160 · JIPMER 2006 · Physics

A charge $Q$ is distributed uniformly in a sphere (solid). Then, the electric field at any point $r$, where, $r \lt R$ ( $r$ is the radius of sphere) varies as :

A
$r^{1 / 2}$
B
$r^{-1}$
Correct answer
C
$r$
D
$r^{-2}$

Solution

. Electric field intensity at a point inside the sphere $\quad E=\frac{Q}{4 \pi \varepsilon_0 R} r$ $\therefore \quad E \propto r$

Hence, the correct answer is option: 'C'.

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