In an atom, two electron move around the nucleus in circular orbits taking time 't' and '8t' to complete one revolution. The ratio of their radii is

Options

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

Answer

B

Explanation

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