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A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Given, g = 10 and speed of sound = 340 .
Firstly, we calculate the time taken by stone to reach the pool and then the time is taken by the sound of a splash to reach the top.
Case 1: For the time taken by the stone to reach the surface of the pool.
Initially, the stone is at rest, so
Now, using the second equation of motion
Therefore, t = 10 seconds
Hence, the time taken by the stone to reach the surface of the pond will be 10 seconds.
Case 2: For the time taken by the sound to reach the top.
Given: Speed of sound = 340 m/s
Now, using the relation
The time taken by the sound to reach the top =
So, the total time taken for the splash to be heard = Time taken for case 1 + Time taken for case 2
The total time taken for the splash to be heard = 10 + 1.47 = 11.47 seconds.
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