The wavelength of a certain line in the Paschen series in 1093.6 nm What is the value of higher orbital for generating this line .`[R=10.973xx10^(+7)m^(-1)]`.

Answer

`6`

Explanation

`lambda = 1093.6 nm " "R_(H) = 1.09xx10^(7)m^(-1)`
`=1093.6xx10^(-9)m" "n_(2)=?n_(1)=3`
`(10^(9))/(1093.6xx10^(7)xx1.09)=(1)/(9)-(1)/(n_(1)^(2))`
`(1)/(n_(2)^(2))=(1)/(9)=-0.83" "(1)/(n_(2)^(2))=(9)/(0.253)`
`n_(2)^(2)=36 " "n_(2)=6`