A) 3 R
B) 9R
C) \[{{(27)}^{1/2}}R\]
D) 25R
Correct Answer: A
Solution :
Nuclear radius is proportional to\[{{A}^{1/3}}\]where, A is mass number of nucleus. ie, \[R\propto {{A}^{1/3}}\] \[\frac{{{R}_{1}}}{{{R}_{2}}}={{\left[ \frac{{{A}_{1}}}{{{A}_{2}}} \right]}^{1/3}}\] \[\frac{R}{{{R}_{2}}}={{\left[\frac{3}{81} \right]}^{1/3}}\] Or \[\frac{R}{{{R}_{2}}}=\frac{1}{3}\] Or \[{{R}_{2}}=3R\]
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