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In 1885, a Swedish school teacher observ...

In 1885, a Swedish school teacher observed a series of spectral lines in the visible region of the hydrogen spectrum. Name the spectral series. If R (Rydberg constant) `=1.097xx10^(-7)m^(-1)` and `((1)/(2^(2))-(1)/(3^(2)))=0.133`, calculate the wavelength `lamda` of `H_(alpha)` line.

Text Solution

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Balmer series of hydrogen spectrum lies in the visible region of light.
For Balmer series, `(1)/(lamda)=R((1)/(2^(2))-(1)/(n^(2)))` and for `H_(alpha)` -line , n=3
`implies(1)/(lamda)=R((1)/(2^(2))-(1)/(3^(2)))`
Given, `R=1.097xx10^(7)m^(-1)` and `((1)/(2^(2))-(1)/(3^(2)))=0.138`
Substituting these values in the above relation, we get
`(1)/(lamda)=1.097xx10^(7)xx0.138`
`=0.151xx10^(7)`
or `lamda=6.622xx10^(-7)m=66.22Å`
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