1.

Let vartheta_(1) be the frequency of the series limit of the Lyman series and vartheta_(2) be the frequency of the first line of the Lyman series and vartheta_(3) be the frequency of the series limit of Balmar series, then

Answer»

`v_1 -v_2 = v_3`
`v_2 - v_1 = v_3`
`v_3 -1/2 (v_1 +v_2)`
`v_1 + v_2 = v_3`

Solution :`bar(upsilon)=1/(LAMBDA) = R(1)/(n_1^2) - 1/(n_2^2) , upsilon_1 = CR,`
`upsilon_2 = (3cR)/(4) , upsilon_3 = (cR)/(4) THEREFORE upsilon_1 - upsilon_2 = upsilon_3`


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