In two individual hydrogen atoms electrons move around the nucleus in circular orbits of radii R and 4R. The ratio of the time taken by them to complete one revolution is:

Options

A. `1 : 4`
B. `4 : 1`
C. `1 : 8`
D. `8 : 1`

Answer

C

Explanation

`T^(2) prop r^(3)`
`:. (T_(1)/T_(2))^(2)=(r_(1)/r_(2))^(3)=(R/(4R))^(3)=1/64`
`:. T_(1)/T_(2)=1/8`