The ratio of the wave number corresponding to the `1^(st)` line of Lyman series of `H-` atom and `3^(rd)` line of Pashcan series of a hydrogen like sample is `9:16`. Then find the third excitation potential in terms of volt for this `H-` like samples.

Options

A. 210
B. 204
C. 100
D. 300

Answer

2

Explanation

Wave number
`N=(1)/(lambda)=Rz^(2)((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
`(N_(1))/(N_(2))=(z_(1)^(2)((1)/(n_(1)^(2))-(1)/(n_(2)^(2))))/(z_(2)^(2)((1)/(n_(1)^(2))-(1)/(n_(2)^(2))))=((1-(1)/(4)))/(z^(2)((1)/(9)-(1)/(36)))rArr" "(N_(1))/(N_(2))=(9)/(z^(2))=(9)/(16)" "rArr" "z=4`