Absorption spectrum is obtained for a sample of gas having atomic hydrogen in ground state. Which lines of the spectrum will be in the range `94 nm` to `122 nm`.
Take Rydberg’s constant `R = 1.1 × 107 m^(–1)`
Correct Answer - B
`E_(1) = (hc)/(lambda) [(1)/(n_(1)^(2)) - (1)/(n_(2)^(2))]`
For second excited state to first excited state
`E_(1) = (hc)/(lambda) [1/4 - 1/9] rArr (hc)/(lambda) ((5)/(36))`
For first excited state...
Correct Answer - A::C::D
`122.4 = (13.6Z^(2))/(1^(2)) rArr Z = 3, 91.8 = 122.4[1-(1)/(4)]`
So an electron of KE `91.8 eV` can transfer its energy to this atom.
Correct Answer - C
Shortest wave length of Lyman series of H-atom
`1/lambda=1/x=R[1/((1)^(2))-1/((oo)^(2))]` So, `x=1/R`
For Balmes series
`1/lambda=R (1)^(2){1/((2)^(2))-1/((3)^(2))}`
`1/lambda=1/x xx5/36` so, `lambda=(36 x)/(5)`