Question

A stone is dropped from rest into a well. The sound of the splash is heard exactly 1.90 s later. Find the depth of the well if the air temperature is 8.0°C

Answer 1

Let the depth of well is d m

speed of sound , vs = 336.2 m/s

total time taken ts = 1.9 s

Now,

total time taken = time for stone to fall + time for sound to come up

ts = sqrt(2*d/g) + d/vs

1.9 = sqrt(2*d/9.8) + d/336.2

solving for d

d = 16.77 m

the depth of the wall is 16.77 m