Doppler Effect

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 13 Hz; if you are moving towards the 'clicker' at 27 m/sec what apparent frequency do you hear instead?

6.74 Hz11.97 Hz14.03 Hz19.26 Hz

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Question 2 You are riding a bike away from a street musician at 13.5 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?

423 Hz430 Hz450 Hz457 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 498 Hz, what is the actual frequency of the car horns.

568 Hz560 Hz436 Hz443 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 27 crests every 10 seconds. Shortly afterwards you come to rest on the water and measure the waves to have an actual frequency of 8 every 10 seconds with a wave speed of 14 m/sec. How fast was your boat traveling before?

61.3 m/sec3.2 m/sec5.9 m/sec33.3 m/sec

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Question 5 You are speeding away from a loud speaker. If the original frequency of 498 Hz is shifted to 456 Hz, what is your speed away from the speaker?

31 m/sec28.7 m/sec31 m/sec8 m/sec

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Question 6 You are measuring the speed of a projectile using sonar. If a frequency of 249 Hz is reflected back at 235.5 Hz, what is the speed of the projectile?

18.4 m/sec19.5 m/sec25.2 m/sec32.2 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 sonarcannot be determinedaway from the sonar