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 10 Hz; if you are moving towards the 'clicker' at 29 m/sec what apparent frequency do you hear instead?
6.55 Hz
10.85 Hz
13.45 Hz
9.15 Hz
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Question 2
You are riding a bike away from a street musician at 14.5 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?
451 Hz
429 Hz
421 Hz
459 Hz
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Question 3
You are in an ambulance driving towards an accident at 37 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 383 Hz, what is the actual frequency of the car horns.
345 Hz
425 Hz
430 Hz
341 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 29 crests every 10 seconds. Shortly afterwards you come to rest on the water and measure the waves to have an actual frequency of 5 every 10 seconds with a wave speed of 12.3 m/sec. How fast was your boat traveling before?
2.6 m/sec
83.6 m/sec
1.8 m/sec
59.0 m/sec
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Question 5
You are speeding away from a loud speaker. If the original frequency of 383 Hz is shifted to 346 Hz, what is your speed away from the speaker?
31 m/sec
9 m/sec
32.8 m/sec
36 m/sec
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Question 6
You are measuring the speed of a projectile using sonar. If a frequency of 191.5 Hz is reflected back at 177 Hz, what is the speed of the projectile?
27.9 m/sec
23.4 m/sec
31.4 m/sec
25.7 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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