Practice Problems
Doppler Effect
Directions:
On this worksheet, you may assume that the speed of sound in air is 340 m/sec unless otherwise stated.
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Question 1
A 'clicker' is sounding at 16 Hz; if you are moving towards the 'clicker' at 24 m/sec what apparent frequency do you hear instead?
14.87 Hz
5.33 Hz
17.13 Hz
26.67 Hz
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Question 2
You are riding a bike away from a street musician at 12 m/sec; when the trumpet player hits an 'A'. You know that the frequency of an 'A' should be 440 Hz, what apparent frequency do you hear instead?
449 Hz
456 Hz
431 Hz
424 Hz
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Question 3
You are in an ambulance driving towards an accident at 38 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 388 Hz, what is the actual frequency of the car horns.
349 Hz
437 Hz
345 Hz
431 Hz
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Question 4
You are riding in a boat into oncoming waves and measure the frequency of the waves to be 24 crests every 10 seconds. Shortly afterwards you come to rest on the water and measure the waves to have an actual frequency of 11 every 10 seconds with a wave speed of 12.7 m/sec. How fast was your boat traveling before?
4.0 m/sec
40.4 m/sec
10.7 m/sec
15.0 m/sec
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Question 5
You are speeding away from a loud speaker. If the original frequency of 388 Hz is shifted to 350 Hz, what is your speed away from the speaker?
31 m/sec
9 m/sec
37 m/sec
33.3 m/sec
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Question 6
You are measuring the speed of a projectile using sonar. If a frequency of 194 Hz is reflected back at 182 Hz, what is the speed of the projectile?
22.4 m/sec
28.3 m/sec
31.9 m/sec
21.0 m/sec
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Question 7
In what direction was the projectile in
Question 6
moving relative to the sonar device?
away from the sonar
cannot be determined
towards the sonar
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