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The nuclear charge (Ze) is non uniformll...

The nuclear charge (`Ze`) is non uniformlly distribute with in a nucleus of radius r. The charge densilty `rho(r)` (charge per unit volume) is dependent only on the radial distance r form the centre of the nucleus s shown in figure. The electric field is only along the radial direction.

The electric field within the nucleus is generaly observed to be linearly dependent on r. This implies

A

a= 0

B

`a =(R)/(2)`

C

`a = R`

D

`a = (2R)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
In case of solid sphere of charge of p(r) uniform volume density
`E=1/(4piepsi_(0)).q/(R^(3)).r` or `Eoor`
Thus, for E to be linearly dependent on r, volume charge density should be constant. Or a=r
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