Waves

Question : 2

Total: 27

A stone dropped from the top of a tower of height 300 m 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)

Solution:

Here, h = 300 m, g = 9.8 m s‌–2, v = 340 m s‌–1
if t1= time taken by stone to strike the surface of water in the pond, then from
s=ut+

at2; 300=0+

×9.8t12
t1=√

300

4.9

=7.82s
Time taken by sound to reach the top of tower t2=

300

340

=0.88s
Total time after which splash of sound is heard =t1+t2 =7.82+0.88=8.70s.

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