COMEDK · Physics · 29. Nuclear Physics
The mass number of two nuclei \(\mathrm{P}\) and \(\mathrm{Q}\) are 27 and 125 respectively. The ratio of their radii \(R_P: R_Q\) is given by:
- A 9 : 25
- B 3 : 5
- C 27 : 25
- D 5 : 3
Answer & Solution
Correct Answer
(B) 3 : 5
Step-by-step Solution
Detailed explanation
The radius \(R\) of a nucleus with mass number \(A\) is given by the relation \(R = R_0 A^{1/3}\), where \(R_0\) is a constant. For nucleus \(\mathrm{P}\), \(A_P = 27\). Thus, \(R_P = R_0 (27)^{1/3} = R_0 \times 3\). For nucleus \(\mathrm{Q}\), \(A_Q = 125\). Thus,…
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