Let `nu_(1)` be the frequency of the series limit of the lyman series `nu_(2)` be the frequency of the first line of th lyman series and `nu_(3)` be the frequency of the series limit of the Balmer series. Then

Options

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

Answer

A

Explanation

`E_(oo)-E_(1)=hv_(1)," "impliesE_(1)implieshv_(1)`
`E_(2)-E_(1)=hv_(2),`
`E_(oo)-E_(2)=hv_(3)," "implies E_(2)implies hv_(3)`
`-hv_(3)+hv_(1)=hv_(2)`
`v_(2)=v_(1)-v_(3)`
`v_(3)=v_(1)-v_(2)`