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A bat at rest sends out ultrasonic sound waves at 50.0 kHz and receives them returned from an object moving directly away from it at 27.5 m/s. What is the received sound frequency?

Respuesta :

Answer:

f = 42.5 kHz

Explanation:

Frequency of the sound due to reflection of an object moving away from the bat is given as

[tex]f = f_0(\frac{v - v_o}{v + v_o})[/tex]

here we know that

[tex]v_o = 27.5 m/s[/tex]

v = 340 m/s

also we know that

[tex]f_o = 50 kHz[/tex]

now we will have

[tex]f = (50 kHz) (\frac{340 - 27.5}{340 + 27.5})[/tex]

[tex]f = 42.5 kHz[/tex]

so the sound frequency received from the object is 42.5 kHz

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