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Interference [20 Points]<br />

An airplane is traveling 100 m above two radio<br />

transmitters with the same height and a<br />

distance d = 5.00 m apart. The radio signal<br />

emitted from both transmitters has a<br />

wavelength of λ = 75.0 cm. The signal<br />

received by the airplane can be used to<br />

determine the location of the airplane with<br />

respect to the midpoint between the two<br />

transmitters.<br />

a) Determine how far the airplane is from the<br />

midpoint between the two transmitters if<br />

the radio signal received is at the third<br />

maximum? [8 Points]<br />

Answer: 112 m<br />

b) Determine how much further the airplane must travel horizontally to<br />

reach the next maximum. [6 Points]<br />

Answer: 24.6 m<br />

c) Suppose the space in which the waves are traveling is replaced with<br />

seawater of refractive index n = 1.35 and the airplane is replaced by a<br />

submarine. What would be the answer to parts a) and b)? [6 Points]<br />

Answer: 106 m, 14.3 m

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