An electron changes its position from orbit `n = 4` to the orbit `n = 2` of an atom. The wavelength of the emitted radiation's is `(R =` Rydberg's constant)

Options

A. `(16)/(R )`
B. `(16)/(3R)`
C. `(16)/(5R)`
D. `(16)/(7R)`

Answer

B

Explanation

`bar(v) = R ((1)/(n_(1)^(2)) - (1)/(n_(2)^(2)))` where `n_(1) 2, n_(2) = 4`
`bar(v) = R ((1)/(4) - (1)/(16))`
`(1)/(lambda) = R ((12)/(4 xx 16)) rArr lambda = (16)/(3R)`