Answer

Verified

88.8k+ views

**Hint:**To solve this question, you simply need to recall the various formulae of velocity of sound in fluids, i.e. liquids and gases. The formula that is required in this question is the one which relates the velocity of sound in the liquid with the ratio of its bulk modulus and density raised to a power.

**Complete step by step answer:**

As explained in the hint section of the solution to the asked question, the main and only thing that is needed to know to solve the asked question is nothing but the formula of velocity of sound which relates the bulk modulus of the liquid, density of the liquid and the velocity of sound in that particular liquid. Since the question has already given us the values of the density of the liquid and the bulk modulus respectively, all we need to do is to substitute the values of the density of the liquid and the bulk modulus of the liquid in the formula and get the answer which can be ticked as the correct option.

To solve the question, we need to know the following formula:

$v = \sqrt {\dfrac{B}{\rho }} $

Where, $B$ is the bulk modulus of the liquid

$\rho $ is the density of the liquid and,

$v$ is the velocity of sound in the particular liquid, or fluid

The question has already told us that the density of the liquid is $\rho = 8000\,kg{m^{ - 3}}$

Similarly, it has also been told to us that the bulk modulus of the liquid is $B = 2 \times {10^9}N{m^{ - 2}}$

Substituting the given values in the formula, we get:

$v = \sqrt {\dfrac{{2 \times {{10}^9}}}{{8000}}} \,m/s$

Upon solving, we get:

$v = 500\,m/s$

This value of the velocity of sound matches the value given in the option (E).

**Hence, the correct answer is the option (E).**

**Note:**In the given question, we don’t need to use the corrected formula of the velocity of sound since nothing is hinted about it in the question. The formula we used is Newton's formula, which assumes an isothermal condition which was later corrected by Laplace assuming adiabatic process.

Recently Updated Pages

Name the scale on which the destructive energy of an class 11 physics JEE_Main

Write an article on the need and importance of sports class 10 english JEE_Main

Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main

Choose the one which best expresses the meaning of class 9 english JEE_Main

What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main

A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main

Other Pages

A passenger in an aeroplane shall A Never see a rainbow class 12 physics JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Formula for number of images formed by two plane mirrors class 12 physics JEE_Main

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Velocity of car at t 0 is u moves with a constant acceleration class 11 physics JEE_Main