A nuclear charge(Ze) is non uniformly distributed within a nucleus of Radius R The charge density rho(r) is dependent - Physics - Electrostatic Potential And Capacitance

Question

A nuclear charge(Ze) is non uniformly distributed within a
nucleus of Radius R The charge density rho(r) is dependent only on
the radial distance r from the centre of the nucleus as shown in
the fig The electric field is only along the radial
direction

Q1=FOr a =0,the value of d would be?Ans=3(Ze)/pie
*R3
Q2=Show that at r=R the electric field is independent of
a?

Somnath physics · Accepted Answer

If a = 0 then we have a and d as x and y intercepts respectively, By coordinate geometry from the graph we have

For r = R The total flux coming out of the sphere will be