A dye absorbs a photon of wavelength λ and re-emits the same energy into two photons of wavelength λ1 and λ2 respectively. The wavelength λ is related to λ1 and λ2 as?

Let E be the energy of a photon with wavelength λ

E1 be the energy of a photon with wavelength λ1

E2 be the energy of a photon with wavelength λ2

E=E1+E2

hc/λ = hc/λ1+hc/λ2

1/λ=1/λ1+1/λ2

λ=λ1λ2/λ1+λ2

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