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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 density `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 at `r=R` is

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
`E(4pi R^(2))=((Ze))/in_(0)rArr E=(Ze)/(4pi in_(0) R^(2))`
`rArr` Independent of a
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