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 13 Hz; if you are moving towards the 'clicker' at 24 m/sec what apparent frequency do you hear instead?
20.04 Hz
12.08 Hz
13.92 Hz
5.96 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?
431 Hz
449 Hz
424 Hz
456 Hz
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Question 3
You are in an ambulance driving towards an accident at 35 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 531 Hz, what is the actual frequency of the car horns.
592 Hz
481 Hz
586 Hz
476 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 8 every 10 seconds with a wave speed of 11.7 m/sec. How fast was your boat traveling before?
5.9 m/sec
46.8 m/sec
2.9 m/sec
23.4 m/sec
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Question 5
You are speeding away from a loud speaker. If the original frequency of 531 Hz is shifted to 496 Hz, what is your speed away from the speaker?
10 m/sec
32 m/sec
22.4 m/sec
24 m/sec
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Question 6
You are measuring the speed of a projectile using sonar. If a frequency of 265.5 Hz is reflected back at 253.5 Hz, what is the speed of the projectile?
16.1 m/sec
28.3 m/sec
15.4 m/sec
32.5 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
towards the sonar
cannot be determined
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William A. Hilburn
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