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

Options

A. `v_(1)-v_(2)=v_(3)`
B. `v_(1)=v_(2)-v_(3)`
C. `(1)/(v_(2))=(1)/(v_(1))+(1)/(v_(3))`
D. `(1)/(v_(1))=(1)/(v_(2))+(1)/(v_(3))`

Answer

A

Explanation

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)`