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At a height of ten meters above the surface of a freshwater lake, a sound pulse...

At a height of ten meters above the surface of a freshwater lake, a sound pulse is generated. The echo from the bottom of the lake returns to the point of origin 0.112 s later. The air and water temperatures are 20 oC. How deep is the lake?

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Answer #1

Solution :-

height above water = x

depth of water = y

t = 2x/v_air + 2y/v_water

.112 = 20/343 + 2y/1482

   y = 39.78 m

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