A dye absorbs a photon of wavelength \( \lambda \) and reemits the same energy into two photons ...

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A dye absorbs a photon of wavelength \( \lambda \) and reemits the same energy into two photons of wavelength \( \lambda_{1} \) and \( \lambda_{2} \) respectively. The wavelength \( \lambda \) is related with \( \lambda_{1} \) and \( \lambda_{2} \) as:
(1) \( \lambda=\frac{\lambda_{1}+\lambda_{2}}{\lambda_{1} \lambda_{2}} \)
(2) \( \lambda=\frac{\lambda_{1} \lambda_{2}}{\lambda_{1}+\lambda_{2}} \)
(3) \( \lambda=\frac{\lambda_{1}^{2} \lambda_{2}^{2}}{\lambda_{1}+\lambda_{2}} \)
(4) \( \lambda=\frac{\lambda_{1} \lambda_{2}}{\left(\lambda_{1}+\lambda_{2}\right)^{2}} \)
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