JEE Advanced Physics Questions & Answers – Composition and Size of Nuclei

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Topic Question Set

Q 1 :

For uranium nucleus, how does its mass vary with volume? [2003]

$m \propto V$
$m \propto \frac{1}{V}$
$m \propto \sqrt{V}$
$m \propto V^{2}$

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(1)

We know that the radius of the nucleus,

$R = R_{0} A^{1 / 3},$ where $A$ is the mass number.

$∴$ $R^{3} = R_{0}^{3} A$

Volume, $V = \frac{4}{3} π R^{3} = \frac{4}{3} π R_{0}^{3} A$

$∴$ $Mass \propto Volume$

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