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 24 m/sec what apparent frequency do you hear instead?
11.15 Hz
18.00 Hz
12.85 Hz
6.00 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
424 Hz
456 Hz
449 Hz
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Question 3
You are in an ambulance driving towards an accident at 42 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 264 Hz, what is the actual frequency of the car horns.
297 Hz
231 Hz
301 Hz
235 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 7 every 10 seconds with a wave speed of 14 m/sec. How fast was your boat traveling before?
34.0 m/sec
3.2 m/sec
5.8 m/sec
62.0 m/sec
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Question 5
You are speeding away from a loud speaker. If the original frequency of 264 Hz is shifted to 222 Hz, what is your speed away from the speaker?
8 m/sec
64 m/sec
54.1 m/sec
29 m/sec
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Question 6
You are measuring the speed of a projectile using sonar. If a frequency of 132 Hz is reflected back at 120 Hz, what is the speed of the projectile?
30.9 m/sec
30.9 m/sec
34.0 m/sec
28.3 m/sec
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Question 7
In what direction was the projectile in
Question 6
moving relative to the sonar device?
cannot be determined
towards the sonar
away from the sonar
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