In a mixture of `He^(o+)` gas H atom and `He^(o+)` ions Are excited to three respective first excited subsepuenly , H atom transfers its total excitation energy to `He^(o+)`ions by collision .Assuming that Bohr model of an atom is applicable , answer the following question
The ratio of teh potential energy of the `n = 2` electron for H atom to the of `He^(o+)` ion is

Options

A. `1//4`
B. `1//2`
C. 4
D. 3

Answer

A

Explanation

`(PE)_(H "atom") (PE)_(He^(o+) ion) = 2(E_(2))_(H "atom")2(E_(2))_(He^(Theta)ion)`
`= (Z^(2)//n^(2))H//(Z^(2)//n^(2))He^(o+)`
`= 1^(2)//2^(2) = 1//4`