The wave number of the spectral line in the emission spectrum of hydrogen will be equal to `8/9` times the Rydberg's constant if electron jumps from

Options

A. A) `n=3` to `n=1`
B. B) `n=10` to `n=1`
C. C) `n=9` to `n=1`
D. D) `n=2` to `n=1`

Answer

A

Explanation

According to Rydberg.s formula
`vec(v)=R[(1)/(n_(1)^(2))-(1)/(n_(2)^(2))]Z^(2)`
If `vec(v)=8/9R`
then `n_(1)` should be equal to 1
and `n_(2)` should be equal to 3
i.e., `vec(v)=R[(1)/(1^(2))-(1)/(3^(2))](1)^(2)`
`vec(v)=R[(9-1)/(9)]=(8)/(9)R`