Question

The ratio of the radii of hydrogen atom and its nucleus is${10}^5.$ Assuming the atom and the nucleus to be spherical, if atom is represented by planet earth $R_e=6.4\times {10}^{6}m$, estimate the size of the nucleus(radius).

• A. 56 m
• B. 60 m
• C. 64 m
• D. 68 m

Answer 1

The correct option is C 64 m

$\frac{R_e}{r_n}={10}^5$

If the atom is represented by the planet earth $(R_e=6.4\times {10}^{6}m)$ then the radius of the nucleus would be $r_n=\frac{R_e}{{10}^5}$
$r_n=\frac{6.4\times {10}^{6}m}{{10}^5}$
$6.4\times 10m$
$=64m.$