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Determine the wavelengths of H(alpha) an...

Determine the wavelengths of `H_(alpha) and H_(beta)` lines in the Balmer series. `[R=109677cm^(-1)]`

Text Solution

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For Balmer series: `overline(v)=(1)/(lamda)=R[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]`
For Balmer series `n_(1)=2` and for the line `H_(alpha),n_(2)=3`
`therefore (1)/(lamda)=109670[(1)/(2^(2))-(1)/(3^(2))]=109670((1)/(4)-(1)/(9))`
`therefore lamda=(36)/(109670xx5)=6.565xx10^(-5)cm`
For the line `H_(beta),n_(2)=4`
`(1)/(lamda)=109670[(1)/(2^(2))-(1)/(4^(2))]=109670((1)/(4)-(1)/(16))`
`therefore lamda=(16)/(109670xx3)=4.863xx10^(-5)cm`
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