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

Question

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 the radial direction. [2008]

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

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(3)

If the volume charge density is constant, then $E \propto r .$

Solution

1 $a = 0$

2 $a = \frac{R}{2}$

3 $a = R$

4 $a = \frac{2 R}{3}$

Ans.
(3)

If the volume charge density is constant, then $E \propto r .$

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Solution

1 a=0

2 a=R2

3 a=R

4 a=2R3