Home
Class 12
PHYSICS
wire of length I has a ear mass density ...

wire of length I has a ear mass density `lambda` and area of cross-section A and the Young's modulus y is suspended vertically from rigid support. The extension produced in wire due to its own weight

A

(2`lambda`g`l^2`)/yA

B

(2`lambda`g`l^2`)/3yA

C

`lambda`g`l^2`/yA

D

`lambda`g`l^2`/2yA

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A cord of mass m length L, area of cross section A and Young's modulus y is hanging from a ceiling with the help of a rigid support. The elogation developed in the wire due to its own weight is

A wire of length l and radius r has a weight W and the Young's modulus of elasticity Y. it is suspended vertically from a fixed point. Calculate the increase in length of wire porduced due to its own weight.

A force F doubles the length of wire of cross-section a The Young modulus of wire is

A metal wire of length L, area of cross-section A and Young's modulus Y behaves as a spring of spring constant k.

If a metal wire of length L , having area of cross-section A and Young's modulus Y , behaves as a spring constant K . The value of K is

A uniform rod of length L , has a mass per unit length lambda and area of cross section A . The elongation in the rod is l due to its own weight, if it suspended form the celing of a room. The Young's modulus of the rod is

Two wires have identical lengths and areas of cross-section are suspended by mass M . Their Young's modulus are in the ratio 2:5 .

A copper wire of cross-section A is under a tension T .Its Young's modulus is Y and Poisson's ratio sigma .The decrease in cross-section of wire will be

A rubber cord of density d, Young's modulus Y and length L is suspended vertically . If the cord extends by a length 0.5 L under its own weight , then L is

AAKASH INSTITUTE-TEST 5-EXAMPLE
  1. When a drop of water splits up into number of droplets, then which of ...

    Text Solution

    |

  2. Eight drops of equal radius are falling with terminal speed 9 cm/s. If...

    Text Solution

    |

  3. A solid sphere falls with a terminal velocity v in air, if it is allow...

    Text Solution

    |

  4. Which of the following device is used to measure the rate of flow of l...

    Text Solution

    |

  5. The cylindrical tube of a spray pump has a cross-section of 6 cm^2 one...

    Text Solution

    |

  6. To what height should a cylindrical vessel be filled with a homogenous...

    Text Solution

    |

  7. A steel wire of length 2L and cross-section area A is stretched, wetl ...

    Text Solution

    |

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

    Text Solution

    |

  9. wire of length I has a ear mass density lambda and area of cross-secti...

    Text Solution

    |

  10. The bulk modulus of water if its volume changes from 100litres to 99.5...

    Text Solution

    |

  11. If the ratio of diameter, lengths and Young's modulus of steel and bra...

    Text Solution

    |

  12. The gravitational field intensity at a point 10 xx 10^3 km from the ...

    Text Solution

    |

  13. For a satellite moving in a circular orbit around the earth, the ratio...

    Text Solution

    |

  14. If a planet is revolving around sun in circular orbit with force F pro...

    Text Solution

    |

  15. A rocket is fired with a speed v = 2sqrt (gR) near the earth's surface...

    Text Solution

    |

  16. Object feel weightlessness at equator of earth when angular speed beco...

    Text Solution

    |

  17. A projectile is projected with velocity 2/3ve vertically upward direct...

    Text Solution

    |

  18. If earth is revolving in elliptical orbit around sun, then which of th...

    Text Solution

    |

  19. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

    Text Solution

    |

  20. The density of a newly discovered planet is twice that of earth. The a...

    Text Solution

    |