A radio transmitter at position `A` operates at a wavelength of `20 m`. A second , identical transmitter is located at a distance `x` from the first transmitter , at position `B`. The transmitters are phase locked together such that the second transmitter is lagging `pi//2` out of phase with the first . For which of the following values of `BC - CA` will the intensity at `C` be maximum . A. `BC - CA = 60 m`B. `BC - CA = 65 m`C. `BC - CA = 55 m`D. `BC - CA = 75 m`

A radio transmitter at position `A` operates at a wavelength of `20 m`

1.	A radio transmitter at position `A` operates at a wavelength of `20 m`. A second , identical transmitter is located at a distance `x` from the first transmitter , at position `B`. The transmitters are phase locked together such that the second transmitter is lagging `pi//2` out of phase with the first . For which of the following values of `BC - CA` will the intensity at `C` be maximum . A. `BC - CA = 60 m`B. `BC - CA = 65 m`C. `BC - CA = 55 m`D. `BC - CA = 75 m`
Answer» Correct Answer - C::D `y_(A) = A sin [ omega t - k (AC)]` `y_(B) = sin [ omega t - (pi)/(2) - k (BC)]` For maximum intensity at `C` `k (BC - AC) + (pi)/(2) = 2 n pi` `BC - AC = ( n lambda - (lambda)/(4)) = 15 , 35 , 55 , 75 ,….`

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