1. A radar pulse is sent out and reflects off an airplane. The echo of the pulse return 14.3 us after it was sent out. How far away is the airplane? (ans: 2.15 km) Show work2. Infrared light had a lower frequency than visible light. What is the frequency of IR light that has a wavelengh of 680 nm? (ans: 4.41 x 1014 Hz) Show work

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Asked Nov 12, 2019
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1. A radar pulse is sent out and reflects off an airplane. The echo of the pulse return 14.3 us after it was sent out. How far away is the airplane? (ans: 2.15 km) Show work

2. Infrared light had a lower frequency than visible light. What is the frequency of IR light that has a wavelengh of 680 nm? (ans: 4.41 x 1014 Hz) Show work

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Expert Answer

Step 1
  1. Consider the airplane at some instant is as distance d away from the source of the radar pulse.

Since the radio pulse travels both ways, therefore, the total distance travel by radio waves is 2d and the time(t) it takes to do that is ...

2d
t
tc
d
2
(14.3 s)(3x10 m/s)
d
2
1km
d 21.45x 108 m
103
d 2.145x 10
km
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2d t tc d 2 (14.3 s)(3x10 m/s) d 2 1km d 21.45x 108 m 103 d 2.145x 10 km

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