question_answer 51)

                  The radius of atom is of the order of \[1\,\overset{\text{o}}{\mathop{\text{A}}}\,\] and radius of nucleus is of the order of fermi. How many magnitudes higher is the volume of atom as compared to the volume of nucleus?                

Answer:

                  Volume \[\propto \,{{(\text{radius})}^{2}}\]                 \[\therefore \] \[\frac{\text{Volume of atom}}{\text{Volume of nucleus}}\text{=}\frac{{{\text{(1{ }\!\!\mathrm{\AA}\!\!\text{ })}}^{\text{3}}}}{{{\text{(1}\,\text{fermi)}}^{\text{3}}}}\]                 \[=\frac{{{({{10}^{-10}}m)}^{3}}}{{{({{10}^{-15}})}^{3}}}={{10}^{15}}\]