If the bulk modulus of water is 2100 MPa, what is the speed of sound in water? (a) 1450 m s^-1

Name: Problem 37, Chapter 15: Objective NCERT at your FINGERTIPS: Physics
Uploaded: 2021-09-26T13:54:31-08:00
Duration: 1 min 28 s
Channel: Ankur S
Description: If the bulk modulus of water is 2100 MPa, what is the speed of sound in water? (a) 1450 m s^-1 (b) 2100 m s^-1 (c) 1400 m s^-1 (d) 1200 m s^-1

step 1 Hello students in this question we have given that the bulk modulus bulk modulus of water that i

Question

If the bulk modulus of water is $2100 \mathrm{MPa}$, what is the speed of sound in water? (a) $1450 \mathrm{~m} \mathrm{~s}^{-1}$ (b) $2100 \mathrm{~m} \mathrm{~s}^{-1}$ (c) $1400 \mathrm{~m} \mathrm{~s}^{-1}$ (d) $1200 \mathrm{~m} \mathrm{~s}^{-1}$

    If the bulk modulus of water is $2100 \mathrm{MPa}$, what is the speed of sound in water?
(a) $1450 \mathrm{~m} \mathrm{~s}^{-1}$
(b) $2100 \mathrm{~m} \mathrm{~s}^{-1}$
(c) $1400 \mathrm{~m} \mathrm{~s}^{-1}$
(d) $1200 \mathrm{~m} \mathrm{~s}^{-1}$

Objective NCERT at your FINGERTIPS: Physics

NCERT 11th Edition

Chapter 15, Problem 37

Instant Answer

Solved by Expert Ankur S

09/26/2021

Step 1

Step 1: The speed of sound in a liquid is given by the formula: \[v = \sqrt{\frac{B}{\rho}}\] where $v$ is the speed of sound, $B$ is the bulk modulus of the liquid, and $\rho$ is the density of the liquid. Show more…

Show all steps

Thanks for your feedback!

If the bulk modulus of water is $2100 \mathrm{MPa}$, what is the speed of sound in water? (a) $1450 \mathrm{~m} \mathrm{~s}^{-1}$ (b) $2100 \mathrm{~m} \mathrm{~s}^{-1}$ (c) $1400 \mathrm{~m} \mathrm{~s}^{-1}$ (d) $1200 \mathrm{~m} \mathrm{~s}^{-1}$

Play audio

Feedback

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Speed of Sound in Fluids

The speed of sound in a fluid is determined by both its bulk modulus and density, following the relation v = sqrt(Bulk Modulus / Density). This equation illustrates that sound travels faster in fluids that are less dense or have a higher resistance to compression.

Density

Density is the measure of mass per unit volume of a substance and is a key factor in determining the inertia of a fluid. It directly affects the speed of sound because the same compressional energy will accelerate heavier masses less than lighter ones.

Bulk Modulus

The bulk modulus is a physical property that quantifies a material's resistance to uniform compression. In the context of fluids, it represents the pressure required to cause a given fractional change in volume and is essential for understanding how pressure variations propagate as sound waves.

Please give Ace some feedback