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How many seconds will it take an echo to reach your ears if you yell toward a mountain
92.0 m away on a day when the air temperature is 0°C?
O 0.556 s
O 1.80 s
0 3.60 s
O 0.277 s

1 Answer

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It will take 0.556 seconds for an echo to reach one's ears

Calculating the time to hear an echo

From the question, we are to determine how long it would take an echo to reach one's ears

From the formula,

$$Speed = \frac{2 \times distance \ travelled\ by \ sound}{Time}$$

NOTE: To hear an echo, the sound will travel to and fro, hence, it will cover twice the distance

From the given information,

Distance = 92.0 m

NOTE: Speed of sound in air at 0 °C ≅ 331 m/s

Putting the parameters into the formula, we get

$$331 = \frac{2 \times 92.0}{Time}$$

$$Time = \frac{2 \times 92.0}{331}$$

Time = 0.556 secs

Hence, it will take 0.556 seconds for an echo to reach one's ears.

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