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 18 Hz; if you are moving towards the 'clicker' at 26 m/sec what apparent frequency do you hear instead?

19.38 Hz30.46 Hz16.62 Hz5.54 Hz

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Question 2 You are riding a bike away from a street musician at 13 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?

430 Hz457 Hz423 Hz450 Hz

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Question 3 You are in an ambulance driving towards an accident at 39 m/sec. You hear the horns of the cars in the accident sounding at a frequency of 727 Hz, what is the actual frequency of the car horns.

644 Hz821 Hz652 Hz810 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 26 crests every 10 seconds. Shortly afterwards you come to rest on the water and measure the waves to have an actual frequency of 13 every 10 seconds with a wave speed of 13 m/sec. How fast was your boat traveling before?

13.0 m/sec13.0 m/sec39.0 m/sec4.3 m/sec

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Question 5 You are speeding away from a loud speaker. If the original frequency of 727 Hz is shifted to 688 Hz, what is your speed away from the speaker?

9 m/sec32 m/sec18.2 m/sec19 m/sec

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Question 6 You are measuring the speed of a projectile using sonar. If a frequency of 363.5 Hz is reflected back at 350.5 Hz, what is the speed of the projectile?

32.8 m/sec12.2 m/sec26.2 m/sec12.6 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 determinedaway from the sonartowards the sonar