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Two radio signal broadcast their program...

Two radio signal broadcast their program at the same amplitude `A` and at slightly different frequency `omega_(1),omega_(2)` respectively given that `omega_(2)-omega_(1)=pixx10^(2)`. A detector detects the signal from the two stations simultaneously. It can only detect signal of in intensiy `ge3A^(2)`. Detector remains idle for time `t_(0)=(alpha)/(beta)xx10^(-2)` sec in each cycle of the intensity of the signal. Here `alpha` and `beta` are integers. Find minimum value of `alpha+beta`.

Text Solution

Verified by Experts

The correct Answer is:
5
`I=4A^(2)sin^(2)Deltaomegat`

`t_(0)=((2pi)/3)/(Deltaomega) =(2pi)/(3Deltaomega)`
`=2/3xx10^(-2)sec`
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