If `v_1` is the frequency of the series limit of lyman seies, `v_2` is the freqency of the first line of lyman series and `v_3` is the fequecny 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_(2))=(1)/(v_(1))+(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)=Rc[1-(1)/(4)]=(3)/(4)Rc`
`v_(3)=Rc[(1)/(4)-(1)/(oo)]=(Rc)/(4)`
`implies v_(1)-v_(2)=v_(3)`