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

Options

A. `v_1 -v_2 = v_3`
B. `v_2 - v_1 = v_3`
C. `v_3 -1/2 (v_1 +v_2)`
D. `v_1 + v_2 = v_3`

Answer

A

Explanation

`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`