Home
Class 11
PHYSICS
What will be the speed of sound in water...

What will be the speed of sound in water if volumetric strain of water is `4 xx 10^(-5)` at a pressure of `10^(5) N//m^(2)` ?

Text Solution

AI Generated Solution

To find the speed of sound in water given the volumetric strain and pressure, we can follow these steps: ### Step 1: Understand the relationship between bulk modulus, pressure, and volumetric strain The bulk modulus (B) of a material is defined as the ratio of the change in pressure (stress) to the corresponding change in volume (strain). Mathematically, it is expressed as: \[ B = \frac{P}{\text{Volumetric Strain}} \] where \( P \) is the pressure applied and volumetric strain is the change in volume per unit volume. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVES

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|88 Videos
  • WAVES

    MODERN PUBLICATION|Exercise ASSERTION REASON TYPE QUESTIONS|11 Videos
  • WAVES

    MODERN PUBLICATION|Exercise HIGH ORDER THINKING SKILLS & ADVANCED LEVEL|15 Videos
  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos
  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Chapter Practice Test|16 Videos

Similar Questions

Explore conceptually related problems

What will be the bulk modulus, if the compressibility of water is 4 xx 10^(-5) per unit atmospheric pressure?

Calculate the pressure inside a small air bubble of radius 0.2 mm located just below the surface of water. Take, Surface tension of water =7.2 xx 10^(-2) N//m Atmospheric pressure =1.01 xx 10^(5) N//m^(2)

Knowledge Check

  • An air bubble of radius 0.1 mm is ready to leave the surface of a lake. Then the pressure inside in N//m^(2) is (Surface tension of water : 70 xx 10^(-3) N/m, 1 atm = 1 xx 10^(5) N//m^(2) )

    A
    `1400 N//m^(2)`
    B
    `1.014 xx10^(5) N//m^(2)`
    C
    `14 N//m^(2)`
    D
    `1.014 xx10^(4) N//m^(2)`
  • Similar Questions

    Explore conceptually related problems

    What should be the pressure inside a small air bubble of 0.1 mm radius situated just below the surface of water? Surface tension of water =72xx10^(-3)N//m and atmospheric pressure =1.013xx10^(5)N//m^(2)

    What will be the speed of light in water if it is given that the refractive index of water is 4/3 and the speed of light in air is 3 xx 10^(8) m/s?

    What should be the pressure inside a small air bubble of 0.1mm radius situated just below the water surface. Surface tension of water =7.2xx10^(-2)N//m and atmosphere pressure =1.013xx10^(5)N//m^(2) .

    At a pressure of 10^(5)N//m^(2) , the volumetric strain of water is 5xx10^(-5) . Calculate the speed of sound in water. Density of water is 10^(3)kg//m^(3).

    1.0 m^(3) of water is converted into 1671 m^(3) of steam at atmospheric pressure and 100^(@)C temperature. The latent heat of vaporisation of water is 2.3xx10^(6) J kg^(-1) . If 2.0 kg of water be converted into steam at atmospheric pressure and 100^(@)C temperature, then how much will be the increases in its internal energy? Density of water 1.0xx10^(3) kg m^(-3) , atmospheric pressure = 1.01xx10^(5) Nm^(-2) .

    The area of cross-section of a water pipe entering the basement of a house is 4 xx 10^(-4) m^(2) . The pressure of water at this point is 3 xx 10^(5) N//m^(2) , and speed of water is 2 m/s. The pipe tapers to an area of cross section of 2 xx 10^(-4) m^(2) , when it reaches the second floor 8 m above the basement. Calculate the speed and pressure of water flow at the second floor.

    At normal temperature and pressure, 4 g of helium occupies a volume of 22.4 litre. Determine the speed of sound in helium. For helium, gamma = 1.67 and 1 atmospheric pressure = 10^(5)"N m"^(-2) .