Question

How far away should a cliff be from a source of sound to give an echo in 5.3second (given the speed of sound at 0c is 331m/s)?
A. 871.15m
B. 331m
C. 662m
D. 100m

Answer 1

Correct Question

How far away should a cliff be from a source of sound to give an echo in 5.3 seconds , given the speed of sound at 0 degree C is 331 m/s ?

A. 877.15 m  ......... [ Answer }

B. 331 m

C. 662 m

D. 100 m

Solution

In the above question, the following information is given -

Speed Of Sound = 331 m/s

Time taken for the echo = 5.3 seconds .

Suppose that the cliff is at a distance d from the source of sound produced .

Hence,

Total distance traveled by the sound wave = 2d .

We know that -

$Speed = \dfrac{ Distance}{ Time }$

Substituting the required values, we get the following equation -

$331 = \dfrac{ 2d }{ 5.3 } \\ \\  \mapsto 2d = 1754.3 \\ \\ \leadsto d = \dfrac{ 1754.3 }{ 2} m = 877.15 m$

Thus we can conclude that the cliff should be at a distance of 877.15 metres from the source of sound to meet the required conditions .

Hence OPtion A is the correct answer

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