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The smoke from the gun barrel is seen 2 ...

The smoke from the gun barrel is seen 2 second before the explosion is heard. If the speed of sound in air is 340 m`s^(-1)`, calculate the distance of observer from gun. State the approximation used.

Text Solution

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Given : Speed of sound `=340 ms^(-1) ,` time = 2s
Speed `=("distance travelled")/("time period")`
`therefore ` Distance = speed `xx` time
`=340xx2 = 680 m`
Approximation: The speed of light `(= 3 xx 10^8 m s^(-1))` is much larger in comparison to the speed of sound `(= 340 m s^(-1))`, therefore we can assume that the light takes negligible time and sound takes 2 s to reach the observer
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