Question

In a sonar, ultrasonic waves are sent into the sea water and the reflected waves from a sunken ship are received after 2.0 s. Find the depth of the sunken ship if the speed of sound waves in sea water is $1450m{s}^{-1}$.

• A. 2900 m
• B. 1450 m
• C. 2800 m
• D. 3000 m

Answer 1

The correct option is B

1450 m

Given,

Speed of ultrasonic wave in water, $V=1450m{s}^{-1}$

Time taken ,$t=2s$

Let the depth of the sea be $d$, then total distance covered by wave = $2d$

Depth of sunken ship, $2d=Vt$

$\therefore d=\frac{Vt}{2}$

$d=1450\times \frac{2}{2}$

$d=1450m$