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

Calculate the wavelengths of `H_(alpha) and H_(delta)` in the emission spectrum of hydrogen. [R=109678`cm^(-1)`].

Text Solution

Verified by Experts

Balmerr's equation is given by`, overline(v)=R[(1)/(2^(2))-(1)/(n^(2))]`
n=3 for `H_(alpha) and n=6` for `H_(delta)`
`therefore overline(v_(H_(alpha)))=109678((1)/(2^(2))-(1)/(3^(2)))=109678xx(5)/(36)cm^(-1)`
`therefore lamda_(H_(alpha))=(1)/(overline(v_(H_(alpha))))=(36)/(109678xx5)6.565xx10^(-5)cm`
Similarly, `overline(v_(H_(delta)))=109678((1)/(2^(2))-(1)/(6^(2)))=109687xx(8)/(36)cm^(-1)`
`therefore lamda_(H_(delta))=(1)/(overline(v_(H_(delta))))=(36)/(109678xx8)=4.10xx10^(5)cm`
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