A nucleus has mass number and volume . Another nucleus has mass number and volume . If relation between mass number is

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Solution

Q.
A nucleus has mass number $A_{1}$ and volume $V_{1}$ . Another nucleus has mass number $A_{2}$ and volume $V_{2}$ . If relation between mass number is $A_{2} = 4 A_{1}$ , then $V_{2} / V_{1} =$ ___________ . [2024]

Ans.
(4) For a nucleus

Volume: $V = \frac{4}{3} π R^{3}$

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

$V = \frac{4}{3} π R_{0}^{3} A \Rightarrow \frac{V_{2}}{V_{1}} = \frac{A_{2}}{A_{1}} = 4$

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