The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density ρ (r) [charge per unit volume] is dependent only on the radial distance r from the centre of the nucleus as shown in figure The electric field is only along rhe radial direction. The electric field within the nucleus is generally observed to be linearly dependent on r. This implies.

Question

The nuclear charge (Ze) is non-uniformly distributed within a nucleus of radius R. The charge density ρ (r) [charge per unit volume] is dependent only on the radial distance r from the centre of the nucleus as shown in figure The electric field is only along rhe radial direction. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/03d1cb3fd798f1f17513c8e9c314c05c-.png" /> The electric field within the nucleus is generally observed to be linearly dependent on r. This implies. (A) a =0 (B) a =( R /2) (C) a = R (D) a =(2 R /3)

Tardigrade Admin · Accepted Answer

If within a sphere ρ is constant E propto r

$a = 0$

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

$a = R$

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

If within a sphere $ρ$ is constant $E \propto r$

a=0

a=2R​

a=R

a=32R​

If within a sphere ρ is constant E∝r

$a = 0$

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

$a = R$

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

If within a sphere $ρ$ is constant $E \propto r$