AP EAMCET · PHYSICS · Nuclear Physics
If the surface areas of two nucleii are in the ratio \(9: 49\), then the ratio of their mass numbers is
- A \(27: 343\)
- B \(9: 49\)
- C \(3: 7\)
- D \(49: 81\)
Answer & Solution
Correct Answer
(A) \(27: 343\)
Step-by-step Solution
Detailed explanation
\( \frac{S_1}{S_2} = \frac{R_1^2}{R_2^2} = \frac{9}{49} \) \( \frac{R_1}{R_2} = \sqrt{\frac{9}{49}} = \frac{3}{7} \) \( \frac{R_1}{R_2} = \left(\frac{A_1}{A_2}\right)^{1/3} \) \( \left(\frac{A_1}{A_2}\right)^{1/3} = \frac{3}{7} \)…
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