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TS EAMCET · Physics · Atomic Physics

The radius and mass number of nucleus ' 1 ' is \(R_1\) and \(A_1\) respectively. The radius and mass number of nucleus ' 2 ' is \(R_2\) and \(A_2\) respectively. If \(A_2\) is larger than \(A_1\) by \(2 \%\), then \(R_2\) is larger than \(R_1\) by

  1. A \(\frac{2}{3} \%\)
  2. B \(1 \%\)
  3. C \(8 \%\)
  4. D \(\frac{3}{2} \%\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{2}{3} \%\)

Step-by-step Solution

Detailed explanation

For nucleus 1 \(\mathrm{R}_1=\mathrm{R}_0 \mathrm{~A}_1^{1 / 3}\) For nucleus 2 \(\mathrm{R}_2=\mathrm{R}_0 \mathrm{~A}_2^{1 / 3}\) Divide equation (ii) by (i)…
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