A boat at anchor is rocked by waves whose crests are 100 m apart and whose velocity is 25 m/sec. These waves strike the boat once every:

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A boat at anchor is rocked by waves whose crests are 100 m apart and whose velocity is 25 m/sec. These waves strike the boat once every:

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4 sec

0.25 sec

2500 sec

1500 sec

answer is D.

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Detailed Solution

The distance between the two consecutive crests in transverse wave motion is called wavelength.
The boat bounces up, i.e, it travels from crest to the consecutive crest along wave motion.
Wavelength =distance between two consecutive crests
i.e,
Velocity of wave =2m/s
Hence, time in one bounce of boat
$t = \frac{λ}{v} = \frac{100}{25} = 4 s$