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  4. 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 at r = R is

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Q. 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 radial distance $r$ from the centre of the nucleus as shown in figure The electric field is only along rhe radial direction.
image
The electric field at $r = R$ is

JEE AdvancedJEE Advanced 2008

Solution:

Correct answer is (a) independent of a