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Question

# A stone is dropped from the top of a tower of 500 m height, into a pond of water at the base of the tower. When is the splash heard at the top? (Given g=10 ms−2 and speed of sound =340 ms−1)

A
10 s
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B
11.47 s
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C
1.10 s
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D
20 s
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Solution

## The correct option is B 11.47 sGiven h=500 m , g=10 m/s2 , v=340 m/s, Since the stone is under free fall, we can use the kinematic formula, h=12 gt2. From the data given in the question, 500=12×10×t2 ⇒t2=1000/10⇒t=10 s It is the time taken by stone to reach the water level. After that, sound is produced due to the stone striking the water surface, and the sound travels upwards. Let t′ be the time taken by the sound to reach the top of the tower. Then, t′=hv=500340=1.47 s Therefore, total time taken for the splash to heard at the top, T=t+t′=10+1.47=11.47 s Thus, option (b) is the correct answer.

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