TS EAMCET · Physics · Nuclear Physics
The radius of nucleus of mass number 27 is \(R\). Which of the following is true about a nucleus whose radius is \(2 \mathrm{R}\) ?
- 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
Answer & Solution
Correct Answer
(A) It is stable in nature
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text {} \frac{R_1}{R_2}=\left(\frac{A_1}{A_2}\right)^{1 / 3} \\ & R_1=R, R_2=2 R A_1=27 \\ & \frac{R}{2 R}=\left(\frac{27}{A_2}\right)^{1 / 3} \Rightarrow \frac{-}{8}=\frac{}{A_2} \\ & A_2=216 \end{aligned}\) It is stable in nature.
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