In the emissoin spectrum of H-atom from energy level 'n' to ground state in one or more setp ,no line belonging to the Brackett series is cbserved . The wave number of line belonging to Balmer series may be[R=Rydbery constant].

Options

A. `(8R)/9,(5R)/36`
B. `(3R)/16,(8R)/9`
C. `(5R)/36,(3R)/16`
D. `(3R)/4,(3R)/16`

Answer

C

Explanation

Possible transition are
`3 rarr2" "&" "4 rarr2`
`barV=Rz^(2)[(1)/(n_(1))-(1)/(n_(1))]`
`barV_(3to2)=Rxx1[(1)/(4)-(1)/(9)]=(5R)/(36)`
`barV_(4to2)=Rxx1[(1)/(4)-(1)/(16)]=(3R)/(16)`