Question

it takes 2.4 seconds to record the echo of sonar . if the speed of sound in water is 1450m/s .find the depth of ocean floor

Answer 1

Given:

• Time = 2.4 secs
• Speed of the sound = 1450 m/s

To Find:

• The depth of the ocean.

Solution:

We need to find the depth of the ocean which implies we need to find the distance between the surface of the water and the sea bed below.

The echo recorded travels a double distance which means the sound travels from the surface to the sea bed and hits the sea bed and travels back to the surface of the ocean.

The formula used here,

2d = vt → {equation 1}

The formula to find the depth of an ocean(distance between the water surface and sea bed) is given by rearranging equation 1.

d = v×t/2 → {equation 2}

Where "d" is the depth of the ocean, "v" is the speed or velocity of sound, "t" is the time.

On substituting the given values in equation 2 we get,

⇒ d = (1450×2.4)/2 {multiplying the terms in the numerator}

⇒ d = 3480/2 {dividing the terms}

⇒ d = 1740 m

∴ The depth of the ocean = 1740 m

Answer 2

Answer:

The depth of ocean is 1704 m