Explanation 1) Concept: As the personis stationary, and the tuning forks are moving along the line, it causes interference. Using the Doppler Effect, we can find the frequency of the sound created by both the tuning forks heard by the person. As we get the respective frequencies we take the difference between them to get the beat frequency. We use the same procedure for part b). 2) Formula: i) f ' = f V ± V D V ± V s ii) f b e a t = f 1 s t t u n n i n g f o r k ' - f 2 n d t u n i n g f o r k ' 3) Given: i) Frequency of the tuning fork = 440 H z ii) In part a Velocity of both the tuning forks V s = 3.00 m / s and Velocity of person V D = 0 m / s iii) In part b Velocity of both the tuning forks V s = 0.00 m / s and Velocity of person V D = 3.00 m / s iv) V = 343 m / s 4) Calculations: a) Let f 1 and f 2 be the frequency observed by the person due to the 1 st and 2 nd tuning fork, respectively. When the personis standing still and the tuning forks are moving in a direction with 3.00 m / s f b e a t = f 1 - f 2 f 1 = f V + V D V - V s f 1 = 440 343 + 0 343 - 3.00 f 1 = 443.9 H z f 2 = f V - V D V + V s f 2 = 440 343 - 0 343 + 3

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Question

Chapter 17, Problem 91P

To determine

To Find:

a) The beat frequency when the person is standing still and the tuning forks are moving in a direction with 3.00 m/s

b) The beat frequency when the person moves along a line at 3.00 m/s and the tuning forks are stationary.

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Chapter 17, Problem 90P

Chapter 17, Problem 92P

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a) The beat frequency when the person is standing still and the tuning forks are moving in a direction with 3.00 m / s b) The beat frequency when the person moves along a line at 3.00 m / s and the tuning forks are stationary.

Solution Summary: The author explains how the Doppler Effect can be used to find the beat frequency when the person is stationary and the tuning forks are stationary.

Concept explainers

To Find:

a) The beat frequency when the person is standing still and the tuning forks are moving in a direction with 3.00 m/s

b) The beat frequency when the person moves along a line at 3.00 m/s and the tuning forks are stationary.

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Chapter 17 Solutions

a) The beat frequency when the person is standing still and the tuning forks are moving in a direction with 3.00 m / s b) The beat frequency when the person moves along a line at 3.00 m / s and the tuning forks are stationary.

Solution Summary: The author explains how the Doppler Effect can be used to find the beat frequency when the person is stationary and the tuning forks are stationary.

Concept explainers

To Find: a) The beat frequency when the person is standing still and the tuning forks are moving in a direction with 3.00 m/s b) The beat frequency when the person moves along a line at 3.00 m/s and the tuning forks are stationary.

Want to see the full answer?

Chapter 17 Solutions

To Find:

a) The beat frequency when the person is standing still and the tuning forks are moving in a direction with 3.00 m/s

b) The beat frequency when the person moves along a line at 3.00 m/s and the tuning forks are stationary.