A stone dropped from the top of a tower of height 300 m high splashes into the water of a pond near the base of the tower. When is the splash heard at the top given that the speed of sound in air is 340 m s–1? (g= 9.8 m s–2)
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Explanation:
Mass of the string, M = 2.50 kg
Tension in the string, T = 200 N
Length of the string, l = 20.0 m
Mass per unit length, µ = M/l = 2.50/20 = 0.125 kg m-1
The velocity (v) of the transverse wave in the string is given by the relation:
v = √t/µ
= √200/0.125 = √1600 = 40 m/s
∴ Time taken by the disturbance to reach the other end, t = l/v= 20/40 = 0.5 s.
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