1.

v_(1) is the frequencyof the series limit of Lyman series, v_(2) the frequency of the first line of Lyman series and v_(3) is the frequency of the series limit of the Balmer series. Then

Answer»

`v_(1)-v_(2)=v_(3)`
`v_(1)=v_(2)-v_(3)`
`(1)/(v_(2))=(1)/(v_(1))+(1)/(v_(3))`
`(1)/(v_(1))=(1)/(v_(2))+(1)/(v_(3))`

Solution :Frequency `V=RC[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]`
`v_(1)=RC[1-(1)/(OO)]=RC`
`v_(2)=RCp[1-(1)/(4)]=(3)/(4)RC`
`v_(3)=RC[(1)/(4)-(1)/(oo)]=[(RC)/(oo)]=(RC)/(4)`
`RARR v_(1)-v_(2)=v_(3)`


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