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Calculate the shortest wavelength of Bal...

Calculate the shortest wavelength of Balmer series. Or Calculate the wavelength of the Balmer series limit. Given : `R = 10970000 m^(-1)`.

Text Solution

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`(1)/(lamda)=R((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
`R=10970000=1.097xx10^(7) ms^(-1)`
For Balmer series limit `n_(1)=2 and n_(2)=prop`
`(1)/(lamda)=R((1)/(2^(2))-(1)/(prop))rArr(1)/(lamda)=(R )/(4)`
`lamda=(4)/(R )=(4)/(1.097xx10^(7))=3646.3 Å`.
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