Home
Class 11
PHYSICS
The temperature of a wire of length 1 me...

The temperature of a wire of length 1 metre and area of cross-section `1 cm^(2)` is increased from `0^(@)C` to `100^(@)C`. If the rod is not allowed to increased in length, the force required will be `(alpha=10^(-5)//.^(@)C and Y =10^(11) N//m^(2))`

A

`10^(3) N`

B

`10^(4)` N

C

`10^(5) N`

D

`10^(9) N`

Text Solution

Verified by Experts

The correct Answer is:
B

(b) F=Force developed `F=Yaalpha(Deltatheta)`
`=10^(11)xx10^(-4)xx10^(-5)xx100=10^(4)N`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    DC PANDEY|Exercise Match the columns|4 Videos
  • ELASTICITY

    DC PANDEY|Exercise Medical entrances s gallery|21 Videos
  • ELASTICITY

    DC PANDEY|Exercise Check point 12.3|15 Videos
  • CURRENT ELECTRICITY

    DC PANDEY|Exercise All Questions|434 Videos
  • ELECTROSTATICS

    DC PANDEY|Exercise Integer|17 Videos

Similar Questions

Explore conceptually related problems

The temperature of a rod of length 1 meter and area of cross-section 1 cm^(2) is increased from 0^(@)C to 100^(@)C . If the rod is ot allowed to increase in length, the force required will be: (alpha=10^(-6)//""^(@)C and Y=10^(11)N//m^(2))

The temperature of a wire length 1 m and area of cross-section 1 cm^(2) is increased from 0^(@)C to 100^(@)C . If the rod is not allowed to increase in length, then the force, required will be (alpha = 10^(-5) .^(@)C^(-1) and Y = 10^(11) Nm^(-2) )

If the temperature of a wire of length 2 m and area of cross-section 1 cm^2 is increased from 0^(@) C to 80^(@) C and is not allowed to increase in length, then force required for it is (Y 10^10 N//m^2, prop=10^-6//”^(@)C)

A rod of length l and area of cross-section A is heated from 0^(@)C to 100^(@)C . The rod is so placed that it is not allowed to increase in length, then the force developed is proportional to

A unifrom steel rod of length 1m and area of cross-section 20 cm^(2) is hanging from a fixed support. Find the increases in the length of the rod.

The Young's modulus of a wire of length 2m and area of cross section 1 mm^(2) is 2 xx 10^(11) N//m^(2) . The work done in increasing its length by 2mm is

A force of 200 N is applied at one end of a wire of length 2m and having area of cross-section 10^(-2) cm^(2) . The other end of the wire is rigidly fixed. If coefficient of linear expansion of the wire alpha=8xx10^(-6)//.^(@)C and Young's modulus Y=2.2xx10^(11)N//m^(2) and its temperature is increased by 5^(@)C , then the increase in the tension of the wire will be

A copper wire of length 4.0 mm and area of cross-section 1.2 cm^(2) is stretched with a force of 4.8 xx 10^(3) N. If Young's modulus for copper is 1.2xx10^(11) N//m^(2) , the increases in the length of the wire will be

A wire of length 1m and area of cross section 4 xx 10^(-8) m^(2) increases in length by 0.2 cm when a force of 16 N is applied. Value of Y for the material of the wire will be

A metal rod has length of 100 cm and cross-section of 1.0 cm^(2) . By raising its temperture from 0^(@)C to 100^(@)C and holding it so that it is not permitted to expand or bend, the force developed is (Given Y=10^(12) dyne cm^(-2) and alpha=10^(-5) .^(@)C^(-1) )

DC PANDEY-ELASTICITY-Chapter Exercise
  1. A force of 200 N is applied at one end of a wire of length 2m and havi...

    Text Solution

    |

  2. When a steel wire fixed at one end is pulled by a constant force F at ...

    Text Solution

    |

  3. The temperature of a wire of length 1 metre and area of cross-section ...

    Text Solution

    |

  4. What is the approximate change in densityof water in a lake at a depth...

    Text Solution

    |

  5. A load suspended by a massless spring produces an extention of xcm in ...

    Text Solution

    |

  6. A steal wire of cross-section area 3xx10^(-6) m^(2) can withstand a m...

    Text Solution

    |

  7. The load versus elongation graph for four wires of the same material i...

    Text Solution

    |

  8. Two wires of the same material and length but diameters in the ratio 1...

    Text Solution

    |

  9. A stress of 10^(6) N//m^(2) is required for breaking a material. If t...

    Text Solution

    |

  10. A cable is replaced by another cable of the same length and material b...

    Text Solution

    |

  11. A uniform steel rod of cross- sectional area A and L is suspended so t...

    Text Solution

    |

  12. A rubber pipe of density 1.5 xx 10^(3) N//m^(2) and Young's modulus 5 ...

    Text Solution

    |

  13. In the given Fig. 7(CF).2, if the dimensions of the two wires are the ...

    Text Solution

    |

  14. The stress versus strain graphs for wires of two materials A and B are...

    Text Solution

    |

  15. An elevator cable is to have a maximum stress of 7xx10^(7) Nm^(-2) to ...

    Text Solution

    |

  16. The following four wires are made of same material. Which of these wil...

    Text Solution

    |

  17. A copper wire (Y=10^(11) Nm^(-2)) of length 8 m and a steel wire (Y=2x...

    Text Solution

    |

  18. The strain stress curves of three wires of different materials are sho...

    Text Solution

    |

  19. The extension in a string obeying Hooke's law is x. The speed of sound...

    Text Solution

    |

  20. The potential energy U between two molecules as a function of the dist...

    Text Solution

    |