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Chris Colon own a bat. His bat flies inside his house in night. It flies toward

ID: 1517600 • Letter: C

Question

Chris Colon own a bat. His bat flies inside his house in night. It flies toward a wall at a speed of 5.0 m/s. As it flies, the bat emits in ultrasonic sound wave with frequency 30.0 kHz. What frequency does the bat hear in the reflected wave? Here is another solution by Salvador Perez. Please circle his mistakes and explain your corrections. Solution by Salvador Perez: The wall can be treated as a stationary "source" for calculating the frequency it receives. Then the wall can be treated as a stationary "observer" emitting the frequency and the bat as a moving observer, flying toward the wall. f_reflected=f_emitted(v-v_s/v+v_s) f_reflected=(30.0 times 10^3)(343-5.0/343+5.0)=2.9 times 10^4 Hz

Explanation / Answer

Fr=Fe(V-Vs)/(V+Vs)

where

Fe= 30*10^3 Hz

V=343 m/s speed of sound

Vs=5 m/s velocity of bat

so,

Fr= 30*10^3(343-5)/(343+5)

=2.9*10^4 Hz= 29 KHz

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