For a nucleus of mass number A and radius R, the mass density of the nucleus can be represented as [2025]

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Solution

Q.
For a nucleus of mass number A and radius R, the mass density of the nucleus can be represented as [2025]

1 $A^{3}$

2 $A^{\frac{1}{3}}$

3 $A^{\frac{2}{3}}$

4 Independent of $A$

Ans.
(4)

$R = R_{0} A^{1 / 3}$

$Density = \frac{Mass number}{Volume} = \frac{A}{\frac{4}{3} π R_{0}^{3} A} = constant$

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