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Two small boats are 10m apart on a lake....

Two small boats are `10m` apart on a lake. Each pops up and down with a period of 4.0 seconds due to wave motion on the surface of water. When one boat is at its highest point, the other boat is its lowest point. Both boats are always within a single cycle of the waves. The speed of the waves is:

A

2m/sec

B

2.5 m/s

C

10 m/s

D

5 m/sec

Text Solution

Verified by Experts

The correct Answer is:
D
distance between crest and trough `=(lambda)/2=10 m`
`rArr lambda=20 m`
time period T=4sec
`:. V=lambda//T =20 m //4 sec`
=5 m/s
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