in bohr model of hydrogen atom, rhe ratio of period of revolution of an electron in `n=2 and n=1` orbits is

Options

A. `2:1`
B. `4:1`
C. `6:1`
D. `16:1`

Answer

c

Explanation

According to Bohr model,`T^2propr^3`
`((T_1)/(T_2))^2=((r_1)/r_2)^3`
`implies T_1/T_2=((r_1)/(r_2))^(3/2)`
`implies T_1/T_2=(1/4)^(3//2)`
`=1:8`
`[(becauser prop(1)/(n^(2))),((r_(1))/(r_(20))=((n_(2))/(n_(1)))^(2)=((1)/(2))^(2))]`
`T_2:T_1=8:1`