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 23 m/sec what apparent frequency do you hear instead?
18.26 Hz
12.81 Hz
11.19 Hz
5.74 Hz
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Question 2
You are riding a bike away from a street musician at 11.5 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?
449 Hz
455 Hz
425 Hz
431 Hz
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Question 3
You are in an ambulance driving towards an accident at 30 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 452 Hz, what is the actual frequency of the car horns.
412 Hz
492 Hz
496 Hz
415 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 23 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 10 m/sec. How fast was your boat traveling before?
4.4 m/sec
22.9 m/sec
2.3 m/sec
42.9 m/sec
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Question 5
You are speeding away from a loud speaker. If the original frequency of 452 Hz is shifted to 422 Hz, what is your speed away from the speaker?
32 m/sec
11 m/sec
24 m/sec
22.6 m/sec
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Question 6
You are measuring the speed of a projectile using sonar. If a frequency of 226 Hz is reflected back at 214.5 Hz, what is the speed of the projectile?
18.2 m/sec
17.3 m/sec
32.3 m/sec
29.6 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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