Home
Class 12
PHYSICS
A wire of length L and radius a rigidlyl...

A wire of length L and radius a rigidlyl fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is L, if another wire of same material but of length 2 L and radius 2 a is stretched with a force 2 F, the increase in its length will be

A

l

B

2l

C

`l/2`

D

`l/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    MOTION|Exercise EXERCISE -2|25 Videos

  • CURRENT ELECTRICITY

    MOTION|Exercise EXERCISE -4 (Level -II)|25 Videos

  • ELASTICITY AND THERMAL EXPANSION

    MOTION|Exercise Exercise - 4 (Level-II)|11 Videos

Similar Questions

Explore conceptually related problems

A wire of length L and radius r is clamped at one end. On stretching the other end of the wire with a force F, the increase in its length is 1. If another wire of same material but of length 2L and radius 2r is stretched with a force 2F, the increase in its leagth will be

A wire of length L and radius r is fixed at one end. When a stretching force F is applied at free end, the elongation in the wire is l . When another wire of same material but of length 2L and radius 2r , also fixed at one end is stretched by a force 2F applied at free end, then elongation in the second wire will be

In a wire of length L, the increase in its length is l . If the length is reduced to half, the increase in its length will be

The resistivity of wire made up of copper having length L and radius r is x .If another wire made up of same material but length 2L and radius (r)/(2) then its resistivity will be

In a wire of length L, the increase in its length is DeltaL . If the length is reduced to half, then the increase in its length will be

When a uniform wire of radius r is stretched by a 2kg weight, the increase in its length is 2.00 mm . If the radius of the wire is r//2 and other conditions remain the same, the increase in its length is

If the force constant of a wire is K, the work done in increasing the length of the wire by l is

The ratio of the lengths of two wires A and B of same material is 1 :2 and the ratio of their diameters is 2:1. They are stretched by the same force, then the ratio of increase in length will be

The ratio of the lengths of two wires A and B of same material is 1:2 and the ratio of their diameter is 2:1 . They are stretched by the same force, then the ratio of increase in length will be

Young's modulus of the material of a wire is Y. ON pulling the wire by a force F, the increase in its length is x. The potential energy of the stretched wire is

MOTION-ELASTICITY-EXERCISE -3
  1. The ratio of the adiabatic to isothermal elasticities of a triatomic g...

    Text Solution

    |

  2. A brass rod of cross-sectional area 1cm^(2) and length 0.2 cm is compr...

    Text Solution

    |

  3. A wire of length L and radius a rigidlyl fixed at one end. On stretchi...

    Text Solution

    |

  4. In steel, the Young's modulus and the strain at the breaking point are...

    Text Solution

    |

  5. Which of the following statements is correct:

    Text Solution

    |

  6. Which one of the following substances possesses the highest elasticity...

    Text Solution

    |

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

    Text Solution

    |

  8. When a weight of 10 kg is suspended from a copper wire of length 3 met...

    Text Solution

    |

  9. When a force is applied on a wire of uniform cross-sectional area 3xx1...

    Text Solution

    |

  10. A force of 10^3 newton, stretches the length of a hanging wire by 1 mi...

    Text Solution

    |

  11. A wire of cross-sectional area 3 mm^(2) is first stretched between two...

    Text Solution

    |

  12. For steel the breaking stressis 6xx10^(6)N//m^(2) and the density is 8...

    Text Solution

    |

  13. The units of modulus of rigidity are

    Text Solution

    |

  14. A 2m long rod of radius 1 cm which is fixed from one end is given a tw...

    Text Solution

    |

  15. A ball falling in a lake of depth 200 m shows 0.1% decrease in its vol...

    Text Solution

    |

  16. An iron wire of length 4 m and diameter 2 mm is loaded with a weight o...

    Text Solution

    |

  17. The dimensional formula for young's modulus is

    Text Solution

    |

  18. A fixed volume of iron is drawn into a wire of length l. The extension...

    Text Solution

    |

  19. A mass of 0.5 kg is suspended from wiere, then length of wire increase...

    Text Solution

    |

  20. If the strain in a wire is not more than 1//1000 and Y =2xx10^(11)N//m...

    Text Solution

    |