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Question

The deepest part of the oceans in our world is the Mariana Trench in the Pacific Ocean. It is around 11000 m deep. How long will it take for a signal sent from a ship above this trench to be reflected back? (The speed of sound in water = 1500 m/s.)

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Solution

Given: Speed of sound in water = v = 1500 m/s
Depth of the Mariana Trench in the Pacific Ocean = d = 11000 m
Let us assume that the time taken by a signal sent from a ship above the trench to be reflected back is t.
Total distance travelled by a signal = 2d
Time = Distance / speed
t = 2d / v
t = (2 × 11000) / 1500
t = 14.67 sec.
Thus, the time taken for a signal sent from a ship above the trench to be reflected back (t) is 14.67 sec.

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