Mass number of nucleus having radius equal

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JEE MAIN 2023

31.01.24 S2

Question

The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192

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Solution

$\begin{aligned} & R_1=\frac{R_2}{2} \\ & \mathrm{R}_0\left(\mathrm{~A}_1\right)^{1 / 3}=\frac{\mathrm{R}_0}{2}\left(\mathrm{~A}_2\right)^{1 / 3} \\ & \mathrm{~A}_1=\frac{1}{8} \mathrm{~A}_2 \\ & A_1=\frac{192}{8}=24\end{aligned}$

Question Tags

JEE Main

Physics

Easy

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