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 12 Hz; if you are moving towards the 'clicker' at 17 m/sec what apparent frequency do you hear instead?
12.60 Hz
3.53 Hz
11.40 Hz
20.47 Hz
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Question 2
You are riding a bike away from a street musician at 8.5 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?
447 Hz
429 Hz
451 Hz
433 Hz
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Question 3
You are in an ambulance driving towards an accident at 33 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 359 Hz, what is the actual frequency of the car horns.
324 Hz
398 Hz
327 Hz
394 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 17 crests every 10 seconds. Shortly afterwards you come to rest on the water and measure the waves to have an actual frequency of 7 every 10 seconds with a wave speed of 11 m/sec. How fast was your boat traveling before?
3.2 m/sec
37.7 m/sec
15.7 m/sec
7.7 m/sec
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Question 5
You are speeding away from a loud speaker. If the original frequency of 359 Hz is shifted to 326 Hz, what is your speed away from the speaker?
31 m/sec
34 m/sec
31.3 m/sec
10 m/sec
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Question 6
You are measuring the speed of a projectile using sonar. If a frequency of 179.5 Hz is reflected back at 171 Hz, what is the speed of the projectile?
40.0 m/sec
16.1 m/sec
32.4 m/sec
16.9 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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William A. Hilburn
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