Home
Class 11
PHYSICS
If 'S' is stress and 'Y' is young's modu...

If 'S' is stress and 'Y' is young's modulus of material of a wire, the energy stored in the wire per unit volume is

A

`(SY)/2`

B

`(S^(2))/(2Y)`

C

`S/(2y)`

D

`(2S)/Y`

Text Solution

Verified by Experts

The correct Answer is:
B
Energy per unit volume `=1/2xx"Stress"xx"Strain"`
`=1/2xx"Stress"xx"Stress"/Y|Y="Stress"/"Strain"=(S^(2))/(2Y)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Multiple Correct|17 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Assertion- Reasoning|13 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Subjective|16 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS|Exercise Integer type|1 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

Similar Questions

Explore conceptually related problems

If s is stress and Y is Young's modulus of material, the energy stored per unit volum is

To determine Young's modulus of the material of a wire,

When a force is applied at one end of an elastic wire, it produce a strain E in the wire. If Y is the Young's modulus of the material of the wire, the amount of energy stored per unit volume of the wire is given by

The Young's modulus of the material of a wire is equal ot the

On stretching a wire, the elastic energy stored pre unit volume is

If x longitudinal strain is produced in a wire of Young's modulus y, then energy stored in the material of the wire per unit volume is

As temperture increases the Young's modulus of the material of a wire

A wire of length L_0 is supplied heat to raise its temperature by T. if gamma is the coefficient of volume expansion of the wire and Y is Young's modulus of the wire then the energy density stored in the wire is

CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-Single Correct
  1. The length of a wire is increased by 1 mm on the application, of a giv...

    Text Solution

    |

  2. An cube is shifted to a depth of 100 m is a lake. The change in volume...

    Text Solution

    |

  3. If 'S' is stress and 'Y' is young's modulus of material of a wire, the...

    Text Solution

    |

  4. What amount of work is done in increasing the length of a wire through...

    Text Solution

    |

  5. Young's modulus of rubber is 10^(4) N//m^(2) and area of cross section...

    Text Solution

    |

  6. When a certain weight is suspended from a long uniform wire, its lengt...

    Text Solution

    |

  7. Two wires of the same material have lengths in the ratio 1:2 and their...

    Text Solution

    |

  8. A piece of copper wire has twice the radius of a piece of steel wire....

    Text Solution

    |

  9. The breaking stress for a substance is 10^(6)N//m^(2). What length of ...

    Text Solution

    |

  10. Water rises to a height of 2 cm in a capillary tube. If the tube is ti...

    Text Solution

    |

  11. A spherical liquid drop of radius R is divided into eight the surface ...

    Text Solution

    |

  12. Air is pushed inot a soap bubble of radius r to duble its radius. If t...

    Text Solution

    |

  13. A water drop is divided into eight equal droplets. The pressure differ...

    Text Solution

    |

  14. A vessel whose , bottom has round holes with diameter 0.1 mm, is fille...

    Text Solution

    |

  15. Water rises to a height of 10 cm in a capillary tube and mercury falls...

    Text Solution

    |

  16. The velocity of small ball of mass M and density d(1) when dropped in ...

    Text Solution

    |

  17. Two soap bubbles, one of radius 50 mm and the other of radius 80 mm, a...

    Text Solution

    |

  18. A glass rod of radius r(1) is inserted symmetrically into a vertical c...

    Text Solution

    |

  19. A large number of droplets, each of radius a, coalesce to form a bigge...

    Text Solution

    |

  20. A thick rope of density rho and length L is hung from a rigid support....

    Text Solution

    |