Question

The ratio of the volume of the atom and the volume of the nucleus is:

• A. ${10}^{10}$
• B. ${10}^{12}$
• C. ${10}^{15}$
• D. ${10}^{20}$

Answer 1

Answer: (C)

${10}^{15}$

The ratio of the volume of the atom and the volume of the nucleus is ${10}^{15}$
The radius of an atomic nucleus is of the order of ${10}^{-13}cm$ or ${10}^{-15}m$ or one Fermi unit.
On the other hand, the radius of an atom is of the order of ${10}^{-8}cm$ or ${10}^{-10}m$ or one angstrom unit.
Note:
The radius of nucleus is much smaller than atomic radius.
The ratio of atomic radius to radius of nucleus is $\frac{{10}^{-10}m}{{10}^{-15}m}={10}^5$
Volume is proportional to cube of radius.
The ratio of atomic radius to radius of nucleus is $({10}^5{)}^3={10}^{15}$