Answer

Verified

393k+ views

**Hint:**For calculating the depth of the sea , consider the concept that time is the ratio of displacement to the velocity. Let us assume the distance is 2d. That is, the initial distance before echo is d and after echo also the sound waves travels a distance d. Then the total distance becomes 2d. The depth can also be defined as the square root of bulk modulus to the density of the material. hence we will get the depth of the sea.

**Complete answer:**

The reflection of sound waves can lead to a production of a similar sound called echoes. The echo sound is heard after 4 seconds after the initial sound is heard. Sometimes when the sound travels from one medium to another, reflection of sound waves occur. Our own sound waves are heard back at the time of echoes. The reflecting surface may be either solid or liquid.

Let us assume the distance is 2d. That is, the initial distance before echo is d and after echo also the sound waves travels a distance d. Then the total distance becomes 2d.

Time taken by the wave is given by,

$\begin{align}

& \dfrac{2d}{{{V}_{S}}}=2 \\

& \\

\end{align}$

$\begin{align}

& \Rightarrow d={{V}_{S}} \\

& \\

\end{align}$

In the equation below d is the depth of the sea, B is the bulk modulus and $\rho $ is the density of water. Thus by substituting the value we will get the depth of the sea.

$\begin{align}

& \Rightarrow d=\sqrt{\dfrac{B}{\rho }} \\

& \Rightarrow d=\sqrt{\dfrac{2\times {{10}^{9}}}{1000}} \\

\end{align}$

$\therefore d=1414m$

**Hence, option (C ) is correct.**

**Note:**

Thus reflection of sound waves is otherwise a change in direction of the waves from one medium to another. Some time at the interface between two mediums the waves may reflect back. Sound is a longitudinal wave. It definitely requires a medium to propagate. If the sound waves cannot absorb or transmit through a surface then it will reflect. The initial beam refers to the incident wave and the final wave is the reflected wave.

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail