Home
Class 11
PHYSICS
The average depth of indian Ocean is abo...

The average depth of indian Ocean is about 3000 m. The fractional compression, `(triangleV)/(V)` of water at the bottom of the ocean is (Given Bulk modulus of the water `=2.2xx10^9Nm^-2` and `g=10ms^-2`)

Text Solution

AI Generated Solution

To solve the problem of finding the fractional compression \((\Delta V/V)\) of water at the bottom of the Indian Ocean, we can follow these steps: ### Step 1: Identify the given values - Depth of the Indian Ocean, \(H = 3000 \, \text{m}\) - Bulk modulus of water, \(B = 2.2 \times 10^9 \, \text{N/m}^2\) - Acceleration due to gravity, \(g = 10 \, \text{m/s}^2\) - Atmospheric pressure, \(P_0 = 10^5 \, \text{N/m}^2\) - Density of water, \(\rho = 10^3 \, \text{kg/m}^3\) ...
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT ENGLISH|Exercise EXERCISE|21 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT ENGLISH|Exercise EXERCISE|31 Videos
  • MOTION IN A PLANE

    NCERT ENGLISH|Exercise EXERCISE|32 Videos

Similar Questions

Explore conceptually related problems

Find the increase in pressure required to decrease the volume of a water sample of 0.01%. Bulk modulus of water =2.1xx10^9Nm^-2 .

How much should the pressure on a litre of water be changed to compress it by 0.10%? Bulk modulus of elasticity of water = 2.2 xx 10^(9) Nm^(-2) .

A block of weight 10 N is fastened to one end of wire of cross-sectional area 4 mm^(2) and is rotated ina vertical circle of radius 30 cm. The speed of the block at the bottom of the circle is 3 ms^(-1) . Find the elongation of the wire when the block is at the bottom of the circle . Young's modulus of the material of the wire =2xx10^(11)Nm^(-2).(g=10ms^(-2))

Find the volume density of the elastic deformation energy in fresh water at a depth of h = 1 m. (Bulk modulus of water = 2 xx 10^(9) N//m^(2) )

Calculate the apprroximate change in density of water in a lake at a depth of 400 m below the surface. The density of water at the surface id 1030 kg//m^(3) and bulk modulus of water is 2xx10^(9) N//m^(2) .

Calculate the apprroximate change in density of water in a lake at a depth of 400 m below the surface. The density of water at the surface id 1030 kg//m^(3) and bulk modulus of water is 2xx10^(9) N//m^(2) .

The level of water in a tank is 5 m high. A hole of area of cross section 1 cm^(2) is made at the bottom of the tank. The rate of leakage of water for the hole in m^(3)s^(-1) is (g=10ms^(-2))

A glass slab is subjected to a pressure of 10 atm. The fractional change in its volume is (Bulk modalus of glass =37 xx 10^(9) Nm^(-2), 1 atm= 1 xx 10^(5) N m^(-2) )

The volume of a solid is 6 xx 10^(-3) m^(3) under 2 atm pressure. Find the change in volume when subjected to a pressure of 102 atm. Bulk modulus of the material = 10^(11) Nm^(-2) .

One end of a wire 2m long and 0.2 cm^2 in cross section is fixed in a ceiling and a load of 4.8 kg is attached to the free end. Find the extension of the wire. Young modulus of steel =2.0xx10^11Nm^-2 . Take g=10ms^-2 .

NCERT ENGLISH-MECHANICAL PROPERTIES OF SOLIDS-EXERCISE
  1. The average depth of indian Ocean is about 3000 m. The fractional comp...

    Text Solution

    |

  2. A steel wire of length 4.7 m and cross-sectional area 3 xx 10^(-6) m^(...

    Text Solution

    |

  3. Fig., shows the stress-strain curve for a given materal. What are (a) ...

    Text Solution

    |

  4. The stress versus strain graph for two materials A and B are shown in ...

    Text Solution

    |

  5. Read each of the statement below carefully and state, with reasons, if...

    Text Solution

    |

  6. Two wires of diameter 0.25 cm, one made of steel and the other made of...

    Text Solution

    |

  7. The edges of an aluminum cube are 10 cm long. One face of the cube is ...

    Text Solution

    |

  8. Four identical hollow cylindrical columns, support a ig structure of ...

    Text Solution

    |

  9. A piece of copper having a rectangular cross section of 15.2 xx 19.1 m...

    Text Solution

    |

  10. A steel cable with a radius of 1.5 cm support a chairlift at a ski are...

    Text Solution

    |

  11. A rigid bar of mass 15 kg is supported symmetrically by three wires ea...

    Text Solution

    |

  12. A 14.5 kg mass, fastened to the end of a steel wire of unstretched len...

    Text Solution

    |

  13. Compute the bulk modulus of water from the following data : initial vo...

    Text Solution

    |

  14. What is the density of ocean water at a depth, where the pressure is 8...

    Text Solution

    |

  15. Compute the fractional change in volume of a glass slab, when subjecte...

    Text Solution

    |

  16. Determine the volume contraction of a solid copper cube, 10 cm on an e...

    Text Solution

    |

  17. How much should the pressure on a litre of water be changed to compres...

    Text Solution

    |

  18. Anvils made of single crystal of diamond , with shape as shown in fig....

    Text Solution

    |

  19. A rod of length 1.05 m having negliaible mass is supported at its ends...

    Text Solution

    |

  20. A mild steel wire of length 1.0 m and cross-sectional are 0.5 xx 10^(-...

    Text Solution

    |

  21. Two strips of metal are riveted together at their ends by four rivets,...

    Text Solution

    |