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Calculate the wavelength of the first sp...

Calculate the wavelength of the first spectral line in the corresponding Lyman series of the hydrogen atom.

Text Solution

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For first spectral line of Lyman series,
`n_(f)=1,n_(i)=2`
`:.` Wavelength `(1)/(lamda)=R((1)/(n_(f)^(2))-(1)/(n_(i)^(2)))`
or `(1)/(lamda)=R[(1)/(1^(2))-(1)/(2^(2))]`
`implies(1)/(lamda)=R[1-(1)/(4)]`
or `lamda=(4)/(3R)`
`("":.R=` Rydberg constant `=1.0973xx10^(7)m^(-1)`)
`:.lamda=(4)/(3xx1.0xx10^(7))`
`=1210 Å`
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