Question

Trying to determine its depth, a rock climber drops a pebble into a chasm and hears the pebble strike the ground 3.92 sec later.
a) If the speed of sound in air is 343 m/s at the rock climber's location, what is the depth of the chasm? Add explanation if possible.

Answer 1

The depth of the chasm is determined as 672.38 m.

Depth of the chasm

The depth of the chasm, is calculated from the principle of echo as shown below;

v = 2d/t

where;

• t is the time
• d is the depth of the chasm
• v is the sped of sound

2d = vt

d = vt/2

d = (343 x 3.92) / (2)

d = 672.38 m

Thus, the depth of the chasm is determined as 672.38 m.

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