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A bat is flitting about in a cave, navig...

A bat is flitting about in a cave, navigating via ultrasonic beeps. Assume that the sound emission frequency of the bat is 40kHz. During one fast swoop directly toward a flat wall surface. The bat is moving at 0.03 times the speed of sound in air. What frequency does the bat hear reflected off the wall ?

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To solve the problem of the bat navigating in a cave using ultrasonic beeps, we will apply the Doppler effect in two steps. ### Step 1: Calculate the frequency heard by the wall (observer) 1. **Identify the parameters**: - Emission frequency of the bat (source frequency, \( n \)): 40 kHz - Speed of the bat (\( V_s \)): 0.03 times the speed of sound in air (\( V \)) - Speed of sound in air (\( V \)): approximately 343 m/s (at room temperature) ...
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