Question

An anchored boat in water is hits by waves whose successive crests are $100\text{m}$ apart and velocity is $25\text{m/s}$. The boat bounces up once in every -

• A. $9\text{s}$
• B. $7\text{s}$
• C. $4\text{s}$
• D. $2\text{s}$

Answer 1

The correct option is C $4\text{s}$

Given :

$\lambda =$ Distance between two successive crests $=100\text{m}$
$v=25\text{m/s}$

The boat bounces up for every crest of the water wave.

Therefore, the time period of bouncing up is equal to the time period of the wave.

$\therefore T=\frac{\lambda }{v}=\frac{100}{25}=4\text{s}$

Hence, option $\left(C\right)$ is the correct answer.