Q156 / 160 · TS EAMCET 2023 (13 May Shift 2) · Physics

The radius of nucleus of mass number 27 is $R$. Which of the following is true about a nucleus whose radius is $2 \mathrm{R}$ ?

  • Correct answer
    A
    It is stable in nature
  • B
    Its mass number is 54
  • C
    It is likely to undergo fission reaction
  • D
    It is likely to undergo fusion reaction

Solution

$\begin{aligned} & \text {} \frac{R_1}{R_2}=\left(\frac{A_1}{A_2}\right)^{1 / 3} \\ & R_1=R, R_2=2 R A_1=27 \\ & \frac{R}{2 R}=\left(\frac{27}{A_2}\right)^{1 / 3} \Rightarrow \frac{-}{8}=\frac{}{A_2} \\ & A_2=216 \end{aligned}$ It is stable in nature.

Hence, the correct answer is option: 'A'.

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