Question 817: Electrostatics & Capacitance

Question

The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $$\rho(r)$$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.

Accepted Answer

The electric field inside a uniformly charged sphere
is proportional to r. The volume charge density inside
a uniformly charged sphere is constant and hence a = R.

Answer

$$a = 0$$

Answer

$$a = {R \over 2}$$

Answer

$$a = R$$

Answer

$$a = {{2R} \over 3}$$

Electrostatics & Capacitance

The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density $\rho(r)$ [charge per unit volume] is dependent only on the radical distance r from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.

Choose the correct answer: