1.

The wavelength of the first spectral line of the Lyman series is lambda then the wavelength of the first spectral line of the Paschen series is .........lambda

Answer»

<P>`(108)/(7)`
`(27)/(5)`
`(7)/(108)`
`(5)/(7)`

Solution :The wavelength of the first SPECTRAL line of the Lyman series
`(1)/(lambda_(L))=R[(1)/(1^(2))-(1)/(n^(2))]=R[(1)/(1^(2))-(1)/(2^(2))]=R[(1)/(1)-(1)/(4)]=R[(3)/(4)]`
`:. lambda_(L)=(4)/(3R).....(1)`
The wavelength of the first spectral line of the PASCHEN series
`(1)/(lambda_(P))=R[(1)/(3^(2))-(1)/(4^(2))]= R[(1)/(9)-(1)/(16)]=R[(7)/(144)]`
`:. lambda_(p)=(144)/(7R).....(2)`
`:. (lambda_(P))/(lambda_(L))=(144)/(7R)xx(3R)/(4)=(108)/(7) :. lambda_(P)=(108)/(7)xx lambda`


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