What is the ratio of time periods `(T_(1)//T_(2))` in second orbit of hydrogen atom to third orbit of `He^(+)` ion?

Options

A. `(8)/(27)`
B. `(32)/(27)`
C. `(27)/(32)`
D. `(27)/(8)`

Answer

B

Explanation

`Tprop(n^(3))/(Z^(2))`
`(T_(1))/(T_(2))=(n_(1)^(3)xxZ_(2)^(2))/(Z_(1)^(2)xxn_(2)^(3))=(2^(3)xx2^(2))/(1^(2)xx3^(3))=(32)/(27)`