A non conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its center:

A. decreases as r increases, for $0<r<\infty$
B. increases as r increases, for r < R
C. becomes zero.
D. decreases as r increases, for $R<r<\infty$

Choose the correct answer from the options given below:

B and D only

The correct answer is Option (1) → B and D only

Inside the sphere, $0<r<R$

$E(r)=\frac{1}{4πε_0}\frac{Qr}{R^3}$

$⇒E∝r$

Inside the sphere, $R<r<∞$

$E(r)=\frac{1}{4πε_0}\frac{Q}{r^2}$

$⇒E∝\frac{1}{r^2}$