The volume of a nucleus is directly proportio | vedclass

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Question

(A) The radius of a nucleus is given by $R = R_{0} A^{1/3}$,where $R_{0} \approx 1.2 	imes 10^{-15} 	ext{ m}$.The volume of a nucleus $(V)$ is given

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$A$

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(A) The radius of a nucleus is given by $R = R_{0} A^{1/3}$,where $R_{0} \approx 1.2 	imes 10^{-15} 	ext{ m}$.The volume of a nucleus $(V)$ is given by the formula for the volume of a sphere: $V = \frac{4}{3} \pi R^{3}$.Substituting the expression for $R$ into the volume formula:$V = \frac{4}{3} \pi (R_{0} A^{1/3})^{3}$$V = \frac{4}{3} \pi R_{0}^{3} A$Since $\frac{4}{3}$,$\pi$,and $R_{0}^{3}$ are constants,it follows that $V \propto A$.Therefore,the volume of a nucleus is directly proportional to the mass number $A$.

The volume of a nucleus is directly proportional to

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