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The short wavelength limit for the Lyman...

The short wavelength limit for the Lyman series of the hydrogen spectrum is 913.4 Å. Calculate the short wavelength limit for Balmer series of the hydrogen spectrum.

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Short wavelength limit for the Lyman series of the hydrogen atom,
`1/(lambda_(L))=R(1/(1^2)-1/(oo^2))`
`therefore R=1/(lambda_L)=1/(913.4xx10^(-10))`
Now , short wavelength limit for the Balmer series of the hydrogen atom,
`1/(lambda_B)=R(1/(2^2)-1/(oo^2)) =1/(913.4xx10^(-10))(1/4)`
`or, lambda_B=4 xx913.4xx10^(-10)=3653.6"Å"`
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