Let `v_(1)` be the frequency of series limit of Lyman series, `v_(2)` the frequency of the first line of Lyman series and `v_(3)` the frequency of series limit of Balmer series. Then which of the following is correct ?

Options

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

Answer

A

Explanation

`(1)/(c//v_(1))=R((1)/(1^(2))-(1)/(oo))=R`
`(1)/(c//v_(2))=R((1)/(1^(2))-(1)/(2^(2)))=(3R)/(4)`
`(1)/(c//v_(3))=R((1)/(2^(2))-(1)/(oo))=(R )/(4)`
(i)-(ii)=(iii)
`upsilon_(1)-upsilon_(2)=upsilon_(3)`