If d is the distance between the source of sound and reflector $t_{1}, t_{2}$ are times at which echoes are heard, the expression for determination of velocity of sound in air by echo method is :

\frac{2 d}{t_{2} - t_{1}}

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\frac{2 d}{t_{1} - t_{2}}

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\frac{4 d}{t_{1} - t_{2}}

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\frac{2 d}{t_{1} + t_{2}}

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Solution

The correct option is B $\frac{2 d}{t_{1} - t_{2}}$
The speed of the sound, distance traveled and the time taken relationship if the sound is a reflected sound, that is echo, it is given as follows.
$S p e e d o f s o u n d = \frac{2 \times D i s t a n c e t r a v e l e d (m)}{T i m e t a k e n (s)}$ .
In the question it is given that distance traveled by the sound from the source to the reflector is d and the time taken to hear the echo are $t_{1}$ and $t_{2}$ seconds.
The speed of the sound wave is calculated as follows. $v = \frac{2 d}{t_{1} - t_{2}} m / s$ .

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If d is the distance between the source of sound and reflector t1,t2 are times at which echoes are heard, the expression for determination of velocity of sound in air by echo method is :

If d is the distance between the source of sound and reflector $t_{1}, t_{2}$ are times at which echoes are heard, the expression for determination of velocity of sound in air by echo method is :