Let `v_(1)` be the frequency of the series limit of the Lyman series, `v_(2)` be the frequency of the first line of the Lyman series, and `v_(3)` be 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

We know that frequency, `v=Rc((1)/(n_(1)^(2))-(1)/(n_(2)^(2)))`
This gives, `v_(1)=Rc(1-(1)/(oo))=RcrArrv_(2)=Rc (1-(1)/(4))=(3)/(4)Rc`
`" " v_(3)=Rc((1)/(4)-(1)/(oo))=(Rc)/(4)rArrv_(1)-v_(2)=v_(3)`