Home
Class 11
PHYSICS
A railway track (made of iron) is laid i...

A railway track (made of iron) is laid in winter when the average temperature is `18^(@)C`. The track consists of sections of 12.2 m placed one after the other. How much gap should be left between two such sections so that there in no compression during summer when the maximum temperature goes to `48^(@)C`? Coefficient of linear expansion of iron `= 11 xx 10^(-5) @C(-1)`.

Text Solution

Verified by Experts

`L_0=12m` alpha =11xx10^-6/^0C`
`t _w= 18^0C` t_s=48^0C`
`L_w= L_0(1+alpha Delta t_w)`
` =12(1+11xx 10^-6xx 18)`
`=12.006336m`
`:. Delta L= 12.006336-12.002376`
`=0.00396m ~~0.4cm `
Promotional Banner

Topper's Solved these Questions

  • HEAT AND TEMPERATURE

    HC VERMA|Exercise Exercise|4 Videos

  • HEAT AND TEMPERATURE

    HC VERMA|Exercise Objective 2|6 Videos

  • GRAVITATION

    HC VERMA|Exercise Exercises|39 Videos

  • HEAT TRANSFER

    HC VERMA|Exercise EXERCIESE|1 Videos

Similar Questions

Explore conceptually related problems

A concrete slab has a length of 10 m on a winter night when the temperature is 0^C . Find the lenth of the slab on a summer day when the temperature is 35^C . The coefficient of linear expansion of concrete is 1.0 XX 10^(-5) 0^ 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) .

Calculate the change in volume of an iron block 10cm times 20cm times 5cm if its temperature is raised from 10C to 40C.Given,coefficient of linear expansion of iron =1.2times10^(-5)C^(-1)

In the construction of a flyover, steel girders of length 12 m are used to place one after another. How much gap should be left between the two at their junction so that in summers whenpeak temperature is about 48^(@)C , there should not be any compresion. Given that the construction is done in peak winters when temperature is 18^(@)C . Given that the coefficient of linear expansion of steel is 1.1xx10^(-5).^(@)C^(-1) .

An iron sphere of radius 10 cm is at temperature , 10^(@)C . If the sphere is heated upto temperature 110^(@)C , find the change in the volume of the sphere coefficient of linear expansion of iron = 11 xx 10^(-6) .^(@)C^(-1)

A wire of cross-sectional area 3 mm^(2) is first stretched between two fixed points at a temperature of 20^(@)C . Determine the tension when the temperature falls to 10^(@)C Coefficient of linear expansion alpha=10^(-5).^(@)C^(-1) and Y =2 xx10^(11) N//m^(2)

A metre scale is made up of steel and measures correct length at 16^C . What will be the percentage error if this scale is used (a) on a summer day when the temperature is 46^C and (b) on a winter day when the temperature is 6^C ? Coefficient of linear expansion of steel =11 xx 10^(-6) o^C^(-1) .

Railway lines are laid with gaps to allow for expansion. If the gap betweeen steel rails 60 m long be 3.60 cm at 10^(@)C , then at what temperature will the lines just touch? Coefficient of linear expansion of steel =11//10^(-6) .^(@)C^(-1) .

A pendulum clock consists of an iron rod connected to a small, heavy bob. If it is designed to keep correct time at 20^(0) C , how fast or slow will it go in 24 hours at 40^(0) C? Coefficient of linear expansion of iron = 1.2 xx 10^(-5) ^0 C^(-6) .

HC VERMA-HEAT AND TEMPERATURE-Exercises
  1. A concrete slab has a length of 10 m on a winter night when the temper...

    Text Solution

    |

  2. A metre scale made of steel is calibrated at 20^C to give correct read...

    Text Solution

    |

  3. A railway track (made of iron) is laid in winter when the average temp...

    Text Solution

    |

  4. A circular hole of diameter 2.00 cm is made in an alumimium ate at 0^C...

    Text Solution

    |

  5. A metre scale is made up of steel and measures correct length at 16^C....

    Text Solution

    |

  6. A metre scale is made of steel resds accurately at 20^C. In a sensitiv...

    Text Solution

    |

  7. The density of wathr at 0^C is 0.998 g cm^(-3) at 4^C is 1.00 g cm^(-...

    Text Solution

    |

  8. Find the ratio of the lengths of an iron rod and an aluminium rod for ...

    Text Solution

    |

  9. A pendulum clock gives correct time at 20^Cat a place where g=9.800 m ...

    Text Solution

    |

  10. An alumimum plate fixed in a horizontal position has a hole of diamet...

    Text Solution

    |

  11. A glass window is to be fit in an aluminium farme. The temperature on ...

    Text Solution

    |

  12. The volume of a glass vessel is 1000 cc at 20^C. What volume of mercur...

    Text Solution

    |

  13. A aluminium can of cylindrical shape contains 500cm^3 of water. The ar...

    Text Solution

    |

  14. A glass vessel measures exactly 10cm xx 10 cm xx 10 cm at 0^C. It is f...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. A stell wire of cross-sectional area 0.5mm^2 is held between teo fixed...

    Text Solution

    |

  18. A steel rod is rigidly clamped at its two ends. The rod is under zero ...

    Text Solution

    |

  19. A steel ball initially at a pressure of 1.0 xx 10^5 Pa is heated from ...

    Text Solution

    |

  20. A torsional pendulum consists of a solid dise connected to a thin wire...

    Text Solution

    |