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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

independent of a

B

directly proportional to a

C

directly proportional to `a^2`

D

inversely proportional to a

Text Solution

Verified by Experts

The correct Answer is:
A
At `r=R` fom Gauss's law
`E(4piR^2)=q_("in")/epsilon_0=(Ze)/epsilon_0` or `E=1/(4piepsilon_0).(Ze)/R^2`
E is independent of a.
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