Problem 4: Induced Emission into Resonator Mode An ensemble of two-level-atoms with a resonant wavelength of A = 700 nm and a sponta- neous decay rate of 1/f = lus interacts with the light field inside an optical resonator. Assume that the free spectral range of the resonator is large and that the mode that is closes to the atomic resonance is detuned by A = 5 MHz. At what intensity of this resonator mode will the induced emission rate equal the spon- taneous emission rate