Two radio stations broadcast their programmes at the same amplitude A and at slightly different frequencies ω1 and ω2 respectively where ω1–ω2=1 kHz. A detector receives the signals from the two stations simultaneously. It can only detect signals of Intensity >2A2. Find the interval between successive maxima of the intensity of the signal received by the detector.

Two radio stations broadcast their programmes at the same amplitude A

1.	Two radio stations broadcast their programmes at the same amplitude A and at slightly different frequencies ω1 and ω2 respectively where ω1–ω2=1 kHz. A detector receives the signals from the two stations simultaneously. It can only detect signals of Intensity >2A2. Find the interval between successive maxima of the intensity of the signal received by the detector.
Answer» Two radio stations broadcast their programmes at the same amplitude $A$ and at slightly different frequencies $ω_{1}$ and $ω_{2}$ respectively where $ω_{1} - ω_{2} = 1 kHz$ . A detector receives the signals from the two stations simultaneously. It can only detect signals of Intensity $> 2 A^{2}$ . Find the interval between successive maxima of the intensity of the signal received by the detector.

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