A) \[3\,R\]
B) \[9\,R\]
C) \[{{(27)}^{1/2}}\,R\]
D) \[27\text{ }R\]
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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