The transmitters emit the same 120 kHz signal as before, and the signals overlap when they reach the mobile receiver but... After traveling an unknown distance, d₁, one signal arrives at the receiver while the other bounces off a skyscraper. The signal that bounced off the skyscraper then travels an additional distance, d₂, to the receiver as shown in the figure.

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The transmitters emit the same 120 kHz signal as before, and
the signals overlap when they reach the mobile receiver but ...
After traveling an unknown distance, d₁, one signal arrives at
the receiver while the other bounces off a skyscraper.
The signal that bounced off the skyscraper then travels an
additional distance, d₂, to the receiver as shown in the figure.
d₂
d₁
d₁
Transcribed Image Text:The transmitters emit the same 120 kHz signal as before, and the signals overlap when they reach the mobile receiver but ... After traveling an unknown distance, d₁, one signal arrives at the receiver while the other bounces off a skyscraper. The signal that bounced off the skyscraper then travels an additional distance, d₂, to the receiver as shown in the figure. d₂ d₁ d₁
(a) Which one or more of the following affected the phase difference between the two signals at the receiver?
O The reflection off the skyscraper.
O The path length difference, Id₂ - d₁l
O The initial distance, d₁, that both waves traveled.
O The distance, d₂, traveled by the reflected signal.
(b) If the signals started out in phase, which condition will give constructive interference?
o dz
= m O
What minimum value of d₂ gives constructive interference?
km
O
(c) If the signals were initially out of phase, which condition will give constructive interference?
d₂ = m
λ
What minimum value of d₂ gives constructive interference?
km
= m + 1
O
dz
= m + 12
Transcribed Image Text:(a) Which one or more of the following affected the phase difference between the two signals at the receiver? O The reflection off the skyscraper. O The path length difference, Id₂ - d₁l O The initial distance, d₁, that both waves traveled. O The distance, d₂, traveled by the reflected signal. (b) If the signals started out in phase, which condition will give constructive interference? o dz = m O What minimum value of d₂ gives constructive interference? km O (c) If the signals were initially out of phase, which condition will give constructive interference? d₂ = m λ What minimum value of d₂ gives constructive interference? km = m + 1 O dz = m + 12
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