A boat at anchor is rocked by waves whose crests are 100 m apart and velocity is 25 m/s . The boat bounces up once in every :

Question

A boat at anchor is rocked by waves whose crests are 100 m apart and velocity is 25 m/s . The boat bounces up once in every : (A)  2500 s  (B)  75 s  (C)  4 s  (D)  0.25 s

Tardigrade Admin · Accepted Answer

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.,

λ = 100 m

Velocity of wave,

v = 25 m / s

Hence, time in one bounce of boat

t = \frac{λ}{v} = \frac{100}{25} = 4 s

Q. A boat at anchor is rocked by waves whose crests are $100 m$ apart and velocity is $25 m / s$ . The boat bounces up once in every :

$2500 s$

$75 s$

$4 s$

$0.25 s$

Q. A boat at anchor is rocked by waves whose crests are 100m apart and velocity is 25m/s . The boat bounces up once in every :

2500s

75s

4s

0.25s

Q. A boat at anchor is rocked by waves whose crests are $100 m$ apart and velocity is $25 m / s$ . The boat bounces up once in every :

$2500 s$

$75 s$

$4 s$

$0.25 s$