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QJEEM24Pha767: JEE Main 2024 Physics - Class 12 JEEM24Pha767 Solution: The mass number of nucleus having radius equal to half of the…

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

Multiple Choice Options

  • A 32
  • B 24
  • C 20
  • D 40

Step-by-Step Verified Solution

amp;R1=R22amp;R0( A1)1/3=R02( A2)1/3amp; A1=18 A2amp; A1=1928=24\begin{aligned}& \mathrm{R}_1=\frac{\mathrm{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 \\& \mathrm{~A}_1=\frac{192}{8}=24\end{aligned}

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