COMEDK · Physics · 29. Nuclear Physics
If the ratio of the nuclear radii of two atoms is 2:3 then the ratio of their mass numbers is:
- A \(27:8\)
- B \(4:9\)
- C \(8:27\)
- D \(9:4\)
Answer & Solution
Correct Answer
(C) \(8:27\)
Step-by-step Solution
Detailed explanation
The nuclear radius \(R\) is related to the mass number \(A\) by the empirical formula: \(R = R_0 A^{1/3}\) where \(R_0\) is a constant. The ratio of the nuclear radii of two atoms is given by: \(\dfrac{R_1}{R_2} = \left(\dfrac{A_1}{A_2}\right)^{1/3}\) Given…
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