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Determine the minimum distance between the listener and reflector for an echo to be heard distinctively of a sound propagating with a speed v m/sec ?




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As we know that the perception of a sound usually endures in memory for only 0.1 seconds
so, minimum time for echo = 0.1 sec
distance = d
sound have to travel, from listener to reflector then to listener
so total distance travelled = 2d
now, distance = speed
× time = 340 ×0.1
⇒2d = 34
⇒d = 17 m
minimum distance for echo is 17 m
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Okay lets get our facts straight...

Our ears have a time limit before they can switch between sounds 

That is 0.1 seconds....Now the speed of sound in air is about 344  \frac{m}{s}

So the Distance covered will Be

s*d = 34.4 m

But remember an echo has to get reflected so it must travel twice a given distance.


2D = 34.4

D = 17.2

Now we get that the minimum distance for echo is 17.2 m

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