Question

A ship sends out an ultrasound signal that returns from the seabed and is detected after $3.40\text{s}$. If the speed of the ultrasound signal through the seawater is $1530\text{m/s}$, what is the distance of the seabed from the ship?

• A. $2408\text{m}$
• B. $2650\text{m}$
• C. $2601\text{m}$
• D. $2502\text{m}$

Answer 1

The correct option is C $2601\text{m}$

Time taken by the ultasound wave from ship to get detected after reflection, $t=3.4\text{s}$
Speed of ultrasound signal, $v=1530\text{m/s}$
Let the depth of seabed be $d$
Then the distance traveled by the ultrasound $=2d$
$2d=vt=1530\times 3.4=5202$
$⟹d=2601\text{m}$
So the depth of seabed is $2601\text{m}$