The ratio of the longest to shortest wavelength in Brackett series of hydrogen spectra is

Options

A. `(25)/(9)`
B. `(17)/(6)`
C. `(9)/(5) `
D. `(4)/(3)`

Answer

A

Explanation

For Bracket series
`(1)/(lambda_(max))=R[(1)/(4^(2))-(1)/(5^(2))] = (9)/(25 xx 16)R`
and `(1)/(lambda_(min)) = R[(1)/(4^(2))-(1)/(oo^(2))] =(R)/(16) rArr (lambda_(max))/(lambda_(min)) =(25)/(9)`