A) A
B) \[{{A}^{3}}\]
C) \[\sqrt{A}\]
D) \[{{A}^{1/3}}\] (where A = mass number of the nucleus)
Correct Answer: A
Solution :
Radius of nucleus \[R={{R}_{0}}{{A}^{1/3}}\] where \[{{R}_{0}}=1.2\times {{10}^{-15}}m\] Volume of nucleus \[(V)=\frac{4}{3}\pi {{R}^{3}}\] \[=\frac{4}{3}\pi \,{{[{{R}_{0}}{{A}^{1/3}}]}^{3}}\] \[=\frac{4}{3}\pi \,R_{0}^{3}A\] \[\therefore \] \[V\propto A\]
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