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AP EAMCET · PHYSICS · Nuclear Physics

A nucleus has mass number \(A_1\) and volume \(V_1\). Another nucleus has mass number \(A_2\) and volume \(V_2\). If the relation the mass numbers is \(\mathrm{A}_2=3 \mathrm{~A}_1\), then \(\frac{\mathrm{V}_1}{\mathrm{~V}_2}=\)

  1. A \(3^{\frac{1}{3}}\)
  2. B \(\left(\frac{1}{3}\right)^{\frac{1}{3}}\)
  3. C \(\frac{1}{3}\)
  4. D \(\frac{1}{\sqrt{3}}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{3}\)

Step-by-step Solution

Detailed explanation

We have \(\begin{aligned} & \mathrm{V} \propto \mathrm{A} \\ & \frac{\mathrm{V}_1}{\mathrm{~V}_2}=\frac{\mathrm{A}_1}{\mathrm{~A}_2}=\frac{1}{3}\end{aligned}\)