Question:

The mass numbers of two nuclei A and B are 27 and 64 respectively. The ratio of their radii \( \left(\frac{r_A}{r_B}\right) \) will be:

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Nuclear radii follow \( R = R_0 A^{1/3} \), so use cube roots for radius ratio.
Updated On: Jun 17, 2025
  • \( \frac{27}{64} \)
  • \( \frac{9}{16} \)
  • \( \frac{3\sqrt{3}}{8} \)
  • \( \frac{3}{4} \)
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The Correct Option is D

Solution and Explanation

\[ R \propto A^{1/3} \Rightarrow \frac{R_A}{R_B} = \left(\frac{27}{64}\right)^{1/3} = \frac{3}{4} \]
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