`A` near ultra violet photon of wavelength `300nm` is absorbed by a gas and then emitted as two photons. One photons is of red light with wavelength `760nm`. What would be the wave length of the second photon?

Options

A. 460 nm
B. 1060 nm
C. 496 nm
D. 300 nm

Answer

C

Explanation

`E = (hc)/(lambda) = (hc)/(300 nm)`
`E_(1) = (hc)/(lambda) = (hc)/(760 nm)`
`E_(2) = (hc)/(lambda)`
`E = E_(1) + E_(2)`
`(1)/(300) = (1)/(760) +(1)/(lambda)`
`(1)/(lambda) = (1)/(300) - (1)/(760)`
`= (76-30)/(22800) = (46)/(22800)`
`lambda = (22800)/(46) = 495.6 nm`