An observer $A$ fires a gun and another observer $B$ at a distance $1650 m$ away from $A$ hears its sound. If the speed of sound is $330 m s^{- 1}$ , find the time when $B$ will hear the sound after firing by $A$ .

5 s

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15 s

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50 s

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None of these

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Solution

The correct option is A $5 s$
The speed of the sound, distance traveled and the time taken relationship is given as follows.
$S p e e d o f s o u n d = \frac{D i s t a n c e t r a v e l e d}{T i m e t a k e n}$

From this equation the time taken is derived as

$T i m e t a k e n = \frac{D i s t a n c e t r a v e l e d}{S p e e d o f s o u n d}$

That is, $T i m e t a k e n = \frac{1650 m}{330 m / s}$ ,

given that the speed of sound is 330 m/s
= 5 seconds
Hence, the time when B will hear the sound after firing by A is 5 seconds.

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An observer A fires a gun and another observer B at a distance 1650 m away from A hears its sound. If the speed of sound is 330 ms−1, find the time when B will hear the sound after firing by A.

An observer $A$ fires a gun and another observer $B$ at a distance $1650 m$ away from $A$ hears its sound. If the speed of sound is $330 m s^{- 1}$ , find the time when $B$ will hear the sound after firing by $A$ .