Practice Problems
Doppler Effect
Topics:
On this worksheet you may assume that the speed of sound in air is 340 m/sec unless otherwise stated.
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The numerical values in this worksheet are randomly generated allowing students the opportunity to conveniently practice, and drill, common situations.
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Question 1
A 'clicker' is sounding at 15 Hz; if you are moving towards the 'clicker' at 28 m/sec what apparent frequency do you hear instead?
6.96 Hz
23.04 Hz
13.76 Hz
16.24 Hz
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Question 2
You are riding a bike away from a street musician at 14 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?
429 Hz
451 Hz
422 Hz
458 Hz
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Question 3
You are in an ambulance driving towards an accident at 40 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 326 Hz, what is the actual frequency of the car horns.
364 Hz
288 Hz
369 Hz
292 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 28 crests every 10 seconds. Shortly afterwards you come to rest on the water and measure the waves to have an actual frequency of 10 every 10 seconds with a wave speed of 13.3 m/sec. How fast was your boat traveling before?
3.5 m/sec
7.4 m/sec
23.9 m/sec
50.5 m/sec
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Question 5
You are speeding away from a loud speaker. If the original frequency of 326 Hz is shifted to 286 Hz, what is your speed away from the speaker?
48 m/sec
41.7 m/sec
30 m/sec
9 m/sec
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Question 6
You are measuring the speed of a projectile using sonar. If a frequency of 163 Hz is reflected back at 149 Hz, what is the speed of the projectile?
31.1 m/sec
24.3 m/sec
31.9 m/sec
29.2 m/sec
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Question 7
In what direction was the projectile in
Question 6
moving relative to the sonar device?
towards the sonar
away from the sonar
cannot be determined
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