What is the shortest wavelength in Bracket series of `He^(+)` spectrum ?

Options

A. `(100)/(9R_(H))`
B. `(16)/(R_(H))`
C. `(25)/(R_(H))`
D. `(9)/(R_(H))`

Answer

B

Explanation

Shortest wavelength of Bracket series is correspond to `oo rarr 4` transition `n_(1) = 4, n_(2) = oo`
`(1)/(lambda_("min")) = R_(H) xx 2^(2) ((1)/(4^(2)) - (1)/(oo^(2))) rArr lambda_("min") = (4)/(R_(H))`