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. 44070
B. 32/27
C. 27/32
D. None of these

Answer

B

Explanation

`T prop (n^(3))/(Z^(2)) , (T_(1))/(T_(2)) = (n_(1)^(3))/(Z_(1)^(2)) xx (Z_(2)^(2))/(n_(2)^(3))`
` = (Z^(3))/(1) xx (2^(2))/(3^(3)) = (32)/(27)`