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Rohini Sohail Bawa
Asked: 2022-11-08T04:28:30+05:30 In:

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 .
image
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`. 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 .
image
A. `BC – CA = 60 m`
B. `BC – CA = 65 m`
C. `BC – CA = 55 m`
D. `BC – CA = 75 m`
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1 Answer

  1. 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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