1.

The wavelength of first line in Balmer series is 6563 Å. Calculate the longest and the shortest wavelengths of the first spectral lines in the Lyman series.

Answer»

Solution :`(1)/(lambda)=R[(1)/(n_(F)^(2))-(1)/(n_(i)^(2))]`
For First LINE of Balmer series
`n_(f)=2 and n_(i)=3`
`(1)/(lambda_(B_(2)))=R[(1)/(4)-(1)/(9)]=(5R)/(36)`
For Longest wavelength of Lyman series
`(1)/(lambda_(L_(1)))=R[1-(1)/(4)](3R)/(4)` to find `lambda_(L_(1))=1215Å`
For shortest wavelength of Lyman series
`n_(f)=1 and n_(i)=OO`
`lambda_(L_(oo))=911.54Å`


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