TS EAMCET · Physics · Nuclear Physics
What is the mass number of nucleus having radius equal to \(\frac{1}{3}\) of that of \({ }^{189}\) Os?
- A 20
- B 7
- C 12
- D 14
Answer & Solution
Correct Answer
(B) 7
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{R}=\mathrm{R}_0 \mathrm{~A}^{1 / 3} \\ & \Rightarrow \frac{1}{3} \mathrm{R}_0(189)^{1 / 3}=\mathrm{R}_0 \mathrm{~A}^{1 / 3} \\ & \Rightarrow \frac{1}{3} \times(189)^{1 / 3}=\mathrm{A}^{1 / 3} \\ & \Rightarrow \frac{1}{27} \times 189=\mathrm{A} \\ &…
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