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The wavelength of first members of Lyman...

The wavelength of first members of Lyman series is `1216Å`. Calculate the wavelength of 3rd member of Paschen series.

Text Solution

Verified by Experts

The correct Answer is:
10944
From `1/lambda =R (1/(n_(1)^(2))-1/(n_(2)^(2)))`
For `1^(st)` member of Lyman series ,
`n_(1)=1,n_(2)=2 `
`1/lambda =R(1/(1^(2))-1/(2^(2)))=3/4R`
` :. R =4/(3lambda)`
For `3^(rd)` member of paschen series ,
`n_(1)=3,n_(2)=6`
`1/lambda =R(1/(3^(2))-1/(6^(2)))=R xx 3/36 =R/12 `
`lambda =12/R =12/(4//3lambda)=9lambda `
`= 9 xx 1216 Å = 10944 Å`
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