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TS EAMCET · Physics · Nuclear Physics

If the ratio of the mass numbers of two nuclei is \(27: 125\), then the ratio of their surface areas is

  1. A \(3: 5\)
  2. B \(9: 25\)
  3. C \(27: 125\)
  4. D \(1: 1\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(9: 25\)

Step-by-step Solution

Detailed explanation

\( \frac{S_1}{S_2} = \left(\frac{A_1}{A_2}\right)^{2/3} \) \( \frac{S_1}{S_2} = \left(\frac{27}{125}\right)^{2/3} = \left(\frac{3}{5}\right)^2 = \frac{9}{25} \)
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