Question

Calculate the depth of the ocean of the sound returns after 10seconds and velocity of sound in the sea and water is 1500m/s

Answer 1

Answer:

Given:

Sound given our from the Sonar of the ship returns back to ship after 10 secs.

Speed of sound in Seawater = 1500m/s

To find:

Depth of ocean bed.

Concept:

The skin emitted from the ship travels downwards , gets reflected at the sea bed and travels back to the ship.

Assumptions:

1. Ship is stationary

2. Density of sea water is same at all depths.

Calculation:

Total distance for to-fro journey

= 10 × 1500

= 15000 metres.

But ocean depth = ½(total journey)

=> Ocean depth = ½(15000)

=> Ocean depth = 7500 metres.

So final answer is 7500 metres or 7.5 km

Answer 2

Solution:-

Given:

t = 10 sec

v = 1500m/s

Let debth of the ocean be d.

Then, applying the formula

$\: \: \: \: v = \frac{2d}{t} \\ = > 1500 = \frac{2d}{10} \\ = > 2d = 15000 \\ = > d = \frac{15000}{2} \\ \therefore \: d = 7500 m$

So, the debth of the ocean is 7500 metres or 7.5 km.