A near ultraviolet photon of 300 nm is absorbed by a gas and then reemitted as two photons. One photon is red with wavelength 760 nm. The wavelength of the second photon is (in nm)

Options

A. `49.6`
B. 496
C. `24.48`
D. `99.2`

Answer

B

Explanation

`E_("total") = E_(1) +E_(2) =` Emitted energy
`(hc)/(lambda) = (hc)/(lambda_(1)) +(hc)/(lambda_(2)), (1)/(300) = (1)/(760) +(1)/(lambda_(2))`
`(1)/(lambda_(2)) = ((1)/(300)-(1)/(760)), (1)/(lambda_(2)) = (760 - 300)/(760 xx 300)`
`:. lambda_(2) =` wavelength of the second photon = 496 nm