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v_(1) is the frequency of the series limit of Lyman series, v_(2) is the frequency of the first line of Lyman series and v_(3) is the frequency of the series limit of the Balmer series. Then |
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Answer» `v_(1)-v_(2)=v_(3)` where n=2,3,4,........ For the series limit of Lyman series `n=oo` `v_(1)=RC[1/1^2-1/oo^(2)]=RC .........(i)` For the first line of Lyman series n=2 `v_(2)=RC [1/1^(2)-1/2^(2)]=3/4RC ..........(II)` For Balmar series `v=RC (1/2^(2)-1/n^(2))` where n=3,4,5.... For the seris limit of Balmer series `n=oo` `v_(3) =RC[1/2^(2)-1/oo^(2)]=(RC)/(4)...........(III)` From EQUATIONS (i), (ii) and (iii), we get `v_(1)=v_(2)+v_(3) rArr v_(1)-v_(2)=v_(3)` |
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