A group of hikers hear an echo 2.6 s after they shout. The temperature is 20 ◦C. How far away is the mountain that reflected the sound wave?

Question

A group of hikers hear an echo 2.6 s after they shout. The temperature is 20 ◦C. How far away is the mountain that reflected the sound wave? At this altitude, the speed of sound in air at 273 K is 328 m/s. Answer in units of m.

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bonexptip 4 years 2021-08-06T16:20:57+00:00 1 Answers 7 views 0

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  1. linhdan
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    2021-08-06T16:21:58+00:00
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    Answer:

    x = 445.9\,m

    Explanation:

    The velocity of sound in air at 20 °C is 343 meters per second. The distance of mountain can be derived by the following expression:

    2\cdot x = v_{air}\cdot \Delta t

    x = \frac{v_{air}\cdot \Delta t}{2}

    x = \frac{(343\,\frac{m}{s} )\cdot (2.6\,s)}{2}

    x = 445.9\,m

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