Home
Class 11
PHYSICS
If stress-strain relation for volametric...

If stress-strain relation for volametric change is in the from `(DeltaV)/(V_(0))= KP` where P is applied uniform pressure, then K stands for

A

shear modulus

B

compressibility

C

Young's modulus

D

bulk modulus

Text Solution

Verified by Experts

The correct Answer is:
B
Bulk modulus `= (P)/(DeltaV//V)`
Compressibility = `(1)/("Bulk modulus")= (DeltaV//V)/(P)= K("Compressibility")`
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT FINGERTIPS|Exercise Applications Of Elastic Behaviour Of Materials|8 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT FINGERTIPS|Exercise Higher Order Thinking Skills|8 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    NCERT FINGERTIPS|Exercise Stress-Strain Curve|5 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • MOTION IN A PLANE

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

The dimensions of gamma in the relation v = sqrt((gamma p)/(rho)) (where v is velocity, p is pressure , rho is density)

For a constant hydraulic pressure on an object, the fractional change in the object's volume ((Delta V)/(V)) and its compressibility ((1)/(K)) are related as

An ideal gas ((C_(p))/(C_(v))=gamma) has initial volume V_(0) is kept in a vessel. It undergoes a change and follows the following relation P = kV^(2) (where P is pressure, and V is volume) find the change in internal energy of the gas if its final pressure is P_(0) :

Two soap bubble are combined isothermally to form a big bubble of radius R. If DeltaV is change in volume, DeltaS is change in surface area and P_(0) is atmospheric pressure then show that 3P_(0)(DeltaV)+4T(DeltaS)=0

The compressibility of a material is B.A cube of side 'a' is made with this material. If a uniform pressure P is applied on the cube from all the sides the fractional change in its length will be

Pressure P , Volume V and temperature T of a certain material are related by the P=(alphaT^(2))/(V) . Here alpha is constant. Work done by the material when temparature changes from T_(0) to 2T_(0) while pressure remains constant is :

The work done in changing the state from (P_0, V_0) to (P_1, V_1) in the following system is :

A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume V_(1) to volume V_(2) . The initial pressure is P_(1) and the final pressure is P_(2) . The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume V_(1) to V_(2) . The initial pressure being same but final pressure is P_(2) . Which relation is correct (gamma = (C_(P))/(C_(V))) ?

NCERT FINGERTIPS-MECHANICAL PROPERTIES OF SOLIDS-Elastic Moduli
  1.  For an ideal iquid

    Text Solution

    |

  2. Which of the following statements is incorrect?

    Text Solution

    |

  3. A sphere contracts in volume by 0.01% when taken to the bottom of sea ...

    Text Solution

    |

  4. The bulk modulus of water if its volume changes from 100 litres to 99....

    Text Solution

    |

  5. The average depth of indian Ocean is about 3000 m. The fractional comp...

    Text Solution

    |

  6. The density of water at the surface of ocean is rho . If the bulk modu...

    Text Solution

    |

  7. If stress-strain relation for volametric change is in the from (DeltaV...

    Text Solution

    |

  8. Out of solids , liquids and gases, which one has all the three types o...

    Text Solution

    |

  9. A glass slab is subjected to a pressure of 10 atm. The fractional chan...

    Text Solution

    |

  10. To What depth must a rubber ball be taken in deep sea so that its volu...

    Text Solution

    |

  11. The compressibility of water is 5 xx 10^(-10) m^(2)//N . If it is sub...

    Text Solution

    |

  12. How much pressure should be applied on a litre of water if it is to be...

    Text Solution

    |

  13.  The volume change of a solid copper cube 10 cm on an edge, when subj...

    Text Solution

    |

  14. A metal cylinder of length L is subjected to a uniform compressive to ...

    Text Solution

    |

  15. For a given material, Young's modulus is 2.4 times that of rigidity mo...

    Text Solution

    |

  16. A material has Poisson's ratio 0.50. If a uniform rod of it suffers a ...

    Text Solution

    |

  17. The relation between Y. eta and B is

    Text Solution

    |

  18. A material has a Poisson's ratio 0.3. It suffers a uniform longitudina...

    Text Solution

    |

  19. One end of a nylon rope of length 4.5 m and diameter 6 mmis fixed to a...

    Text Solution

    |

  20. In question number 91, what will be the change in the diameter of ...

    Text Solution

    |