Home
Class 11
PHYSICS
What is the percentage change in length ...

What is the percentage change in length of `1m` iron rod it its temperature changes by `100^(@)C. alpha` for iron is `2 xx 10^(-5)//"^(@)C`.

Text Solution

Verified by Experts

percentage change in length due to temperature change
`%l = (Deltal)/(l) xx 100 = alpha Delta theta xx 100`
`=2 xx 10^(-5) xx 100 xx 100`
`=0.2%`
Promotional Banner

Topper's Solved these Questions

  • CALORIMETRY AND THERMAL EXPANSION

    RESONANCE|Exercise Solved miscellaneous problems|1 Videos

  • CALORIMETRY AND THERMAL EXPANSION

    RESONANCE|Exercise Problem|26 Videos

  • CALORIMETRY AND THERMAL EXPANSION

    RESONANCE|Exercise Advanced Level Problems|13 Videos

  • CALORIMETRY

    RESONANCE|Exercise Exercise|19 Videos

  • CAPACITOR

    RESONANCE|Exercise Exercise|45 Videos

Similar Questions

Explore conceptually related problems

An iron sphere has a radius 8 cm at a temperature of 0^(@)C . Calculate the change in volume of the sphere if is temperature is raised to 80^(@)C . Coefficient of liner expansion of iron =11xx10^(-6) .^(@)C^(-1) .

To increase the length of brass rod by 2% its temperature should increase by (alpha = 0.00002 "^(@)C^(-1))

An iron sphere has a radius of 10 cm at a temperature of 0^(@)C . Calculate the change in the volume of the sphere, if it is heated to 100^(@)C . Coefficient of linear expansion of iron = 11 xx 10^(-6).^(@)C^(-1) .

A clock with an Iron Pendulum keeps correct time at 20^(@)C How much will it lose or gain if temperature changes to 40^(@)C ? [Given cubical expansion of iron =36xx10^(-6)""^(@)C^(-1) ]

The length of s steel rod exceeds that of a brass rod by 5 cm. If the difference in their lengths remains same at all temperature, then the length of brass rod will be: ( alpha for iron and brass are 12xx10^(-6)//^(@)C and 18xx10^(-6)//^(@)C , respectively)

An iron sphere has a radius of 10 cm at a temperature of 0^(@)C . Calculate the change in volume of the sphere if it is heated to 100^(@)C . Given alpha_(Fe) = 1.1 xx 10^(-6).^(@)C^(-1)

At 50^(@)C , a brass rod has a length 50 cm and a diameter 2 mm . It is joined to a steel rod of the same length and diameter at the same temperature . The change in the length of the composite rod when it is heated to 250^(@)C is (Coefficient of linear expansion of brass = 2.0 xx 10^(-5)"^(@) C^(-1) , coefficient of linear expansion of steel = 1.2 xx 10^(-5) "^(@) C^(-1) )

A steel rod of length 0.5km is used in the construction of a bridge. It has to withstand a temperature change of 40^(0)C . The gap that is allowed for its expansion is [alpha = 10^(-6//@)C]

The ratio of densites or iron at 10^@C is (alpha of iron = 10xx10^(-6), .^@C^(-1))

RESONANCE-CALORIMETRY AND THERMAL EXPANSION-Example
  1. In following equiation calculate value of H: 1kg ice at -20^@C=H+1kg w...

    Text Solution

    |

  2. 1 kg ice at -20^(@)C is mixed with 1 kg steam at 200^(@)C. The equilib...

    Text Solution

    |

  3. A rectangular plate has a circular cavity as shown in the figure. If w...

    Text Solution

    |

  4. In the given figure, when temperature is increased then which of the f...

    Text Solution

    |

  5. What is the percentage change in length of 1m iron rod it its temperat...

    Text Solution

    |

  6. In the given figure, a rod is free at one end and other end is fixed. ...

    Text Solution

    |

  7. An iron ring measuring 15.00 cm in diameter is a be shrunk on a pulley...

    Text Solution

    |

  8. A steel rod of length 1 m rests on a smooth horizontal base. If it is ...

    Text Solution

    |

  9. A steel rod is clamped at its two ends and rests on a fixes horizontal...

    Text Solution

    |

  10. A steel wire of cross-sectional area 0.5mm^2 is held between two fixed...

    Text Solution

    |

  11. A pendulum clock consists of na iron rod connected toa small, heavy bo...

    Text Solution

    |

  12. A bar measured with a vernier caliper is found to be 180 mm long. The ...

    Text Solution

    |

  13. A plane lamina has area 2m^(2) at 10^(@)C then what is its area at 110...

    Text Solution

    |

  14. The volume of a glass vessel is 1000 cc at 20^@C. What volume of mercu...

    Text Solution

    |

  15. If percentage change in length is 1% with change in temperature of a c...

    Text Solution

    |

  16. The densities of wood and benzene at 0^(@)C are 880 kg//m^(3) and 900 ...

    Text Solution

    |

  17. A glass vessel of volume 100 cm^(3) is filled with mercury and is heat...

    Text Solution

    |

  18. A body is float inside liquid. If we increase temperature then what ch...

    Text Solution

    |

  19. In previous question discuss the case when body move downward, upwards...

    Text Solution

    |

  20. The readings of a thermometer at 0^(@)C and 100^(@)C are 50 cm and 75 ...

    Text Solution

    |