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Solved: A bat emits a series of high-frequency sound
Chapter 13, Problem 87GP(choose chapter or problem)
A bat emits a series of high-frequency sound pulses as it approaches a moth. The pulses are approximately 70.0 ms apart, and each is about 3.0 ms long. How far away can the moth be detected by the bat so that the echo from one pulse returns before the next pulse is emitted?
Questions & Answers
QUESTION: Problem 87GP
A bat emits a series of high-frequency sound pulses as it approaches a moth. The pulses are approximately 70.0 ms apart, and each is about 3.0 ms long. How far away can the moth be detected by the bat so that the echo from one pulse returns before the next pulse is emitted?
ANSWER:
Step-by-step solution
Step 1 of 2
Period of the pulse T=70ms (every 70ms a pulse is sent to the prey)
Duration of a pulse is Δt=3ms
The pulse sent to the moth reflects from the moth. The pulse must come back to the bat just before the second pulse is sent in 70ms. The pulse itself has some time duration of 3ms. So the pulse travels in air 70ms-3ms.