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Given the speed of sound is $332 m / s$ . A person fires a gun, and an echo is heard after $2.5 s$ . What will be the person's distance from a cliff from which echo takes place?

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415 m

420 m

830 m

840 m

answer is A.

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Detailed Solution

The speed of sound is

332 m / s

. A person fires a gun, and an echo is heard after

2.5 s

. The person's distance from a cliff from which echo takes place will be

415 m

.
Suppose the reflecting surface is at

x

distance from the shooter. For echo, sound must travel

2 x

speed of the sound  v = 332 m / s

We know that

velocity = \frac{distance}{time}

So,

\Rightarrow v = \frac{2 x}{t}

\Rightarrow x = \frac{vt}{2}

\Rightarrow = \frac{332 \times 2.5}{2}

\Rightarrow x = 415 m .

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