In Bohr's model of hydrogen atom, find the ratio between the period of revolution of an electron in the orbit n = 1 to the period of revolution of the electron in the orbit n = 2

Explanation

Time period of revolution of an electron
`T = (2pi r_n)/V_n = 2pi xx ((h^2epsi_0 n^2)/(pi me^2))/((e^2 xx 2pi)/((n xx 4pi epsi_0)h))`
` = (2 h^2 epsi_0^2 n^3 h)/( pi me^2 xx e^2) xx 2pi`
` T = (2h^3 epsi_0^2 n^3)/(pi me^4) xx 2pi`
`T prop n^3`
`T_1/T_2 = (1/2)^3 = 1/8`
`T_2 = 8 T_1`