Shyam is standing between Ram and a wall on the same line. Distance between Ram and Shyam is $165 m$ . Shyam is standing $d$ meters away from the wall. Ram claps and Shyam hears the clap two times at an interval of $2$ seconds. Find the value of $d$ .

(Assume velocity of sound to be $330 m / s$ )

165 m

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660 m

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330 m

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82.5 m

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Solution

The correct option is C 330 m
The first sound heard by Shyam is direct sound and second sound is the reflection of the sound from the wall. The time gap between two sounds is the time taken by the sound to go to the wall and come back after reflection. So sound travels twice the distance $d$ in $2$ seconds.
Using the formula of speed,
$2 d = 2 \times 330 = 660 m$
$d = 330 m$

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Shyam is standing between Ram and a wall on the same line. Distance between Ram and Shyam is 165 m. Shyam is standing d meters away from the wall. Ram claps and Shyam hears the clap two times at an interval of 2 seconds. Find the value of d. (Assume velocity of sound to be 330 m/s)

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(Assume velocity of sound to be $330 m / s$ )