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2 Problems on Wave Motion: Doppler effect, sound waves

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(See attached file for full problem description)

Please, on problem 3, a bat is flying...., where does the number 345 come from and why used?

Problem 4, explain how parts A,B, and C were solved, where equations come from, etc.

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Solution Summary

Two solution with Doppler effect and equation and graphs of sound waves are explained.

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Please see the attachment.

Please, on problem 3, a bat is flying...., where does the number 345 come from and why used?

Answer
This formula is from Doppler effect. The apparent frequency of sound wave when the source and listener are moving relatively is given by this formula, here 345 is the velocity of sound in air at normal temperature. In some problems of sound speed of sound is not given, in such cases we take common value of speed of sound in air = 345 m/s (sometimes 340m/s also).

The formula for apparent frequency is
Where c is the speed of wave in the medium and the signs ...

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