TS EAMCET · Physics · Nuclear Physics
If \(\mathrm{S}\) is the surface area of a nucleus of mass number \(\mathrm{A}\), th en
- A \(S \propto A\)
- B \(S \propto A^{1 / 3}\)
- C \(S \propto A^{2}\)
- D \(S \propto A^{2 / 3}\)
Answer & Solution
Correct Answer
(D) \(S \propto A^{2 / 3}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { (d) Radius, } R=R_0 A^{1 / 3} \\ & \text { Surface Area, } S=4 \pi R^2 \\ & =4 \pi \times\left(R_0 A^{1 / 3}\right)^2 \\ & =4 \pi R_0^2 A^{2 / 3} \\ & S \propto A^{2 / 3}\end{aligned}\)
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