Home
Class 11
PHYSICS
The length of each steel rail is 10 m in...

The length of each steel rail is `10 m` in winter. The coefficient of linear expansion of steel in `0.000012//^(@)C` in summer. The gap to be left between the rails

A

`0.0018m`

B

`0.00120m`

C

`0.0022m`

D

`0.05m`

Text Solution

Verified by Experts

The correct Answer is:
A

`l_(2) - l_(1) = l_(1)alpha(t_(2) - t_(1))`
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (C.W.)|20 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - III|23 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EXERCISE - IV|39 Videos
  • THERMODYNAMICS

    NARAYNA|Exercise Exercise|187 Videos

Similar Questions

Explore conceptually related problems

In figure which strip brass or steel have higher coefficient of linear expansion.

In figure which strip (brass or steel) has higher coefficient of linear expansion.

The Young’s modulus of steel is 2 × 10^(11) N//m^(2) and its coefficient of linear expansion is 1.1 × 10^(–5) per deg. The pressure to be applied to the ends of a steel cylinder to keep its length constant on raising its temperature by 100^(@)C , will be -

A steel rod of length 5 m is fixed between two support. The coefficient of linear expansion of steel is 12.5 xx 10-6//^(@)C . Calculate the stress (in 10^(8) N//m2 ) in the rod for an increase in temperature of 40^(@)C . Young's modulus for steel is 2 xx 10^(11) Nm^(-2)

A measuring tape amde of steel is calibrated at 5^(@)C . If the coefficient of linear expansion of steel 10^(-5)//^(@)C . If the coefficinet of linear expansion of steel 10^(-5)//^(@)C , the percent error in measurement at 40^(@)C is

(a) The brass scale of a barometer gives correct reading at 0^(@)C . Coefficient of linear expansion of brass is 2.0xx10^(-5)//^(@)C . The barometer reads 75cm at 27^(@)C . What is the atmospheric pressure at 27^(@)C ? (b) A barometer reads 75.0cm on a steel scale. The room temperature is 30^(@)C . The scale is correctly graduated for 0^(@)C . The coefficient of linear expansion of steel is alpha=1.2xx10^(-5)//^(@)C and the coefficient of volume expansion of mercury is gamma=1.8xx10^(-4)//^(@)C . Find the correct atmospheric pressure.

A steel tape 1 m long is correctly calibrated for a temperature of 27.0^(@)C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45^(@)C . Coefficient of linear expansion of steel = 1.20 xx 10^(-5) //K . what is the actual length of the steel rod on that day?

A horizontal steel railroad track has a length of 100 m when the temperature is 25^(@)C . The track is constrained from expanding or bending. The stress on the strack on a hot summer day, when the temperature is 40^(@)C , is (Note : the linear coefficient of thermal expansion for steel is 1.1xx10^(-5)//.^(@)C and the Young's modulus of steel is 2xx10^(11) Pa)

A steel ball of 50mm radius is kept on a hole of concrete. The diameter of the hole is 0.05mm less then the diameter of the steel ball at 20^(@)C . Coefficient of volume expansion of the steel ball is 3.2x 10^(-6)//^(@)C . At what temperature the ball will be inside the hole ?

The gap between any two rails each of length l laid on a railway trach equals x at 27^@C When the temperature rises to 40^@C the gap closes up. The coefficient of linear expansion of the material of the rail is alpha . The length of a rail at 27^@C will be

NARAYNA-THERMAL PROPERTIES OF MATTER-LEVEL - I (C.W.)
  1. A mercury thermomeeter is transferred from melting ice to a hot liquid...

    Text Solution

    |

  2. A Centigreade scales A and B have triple points of water defined to be...

    Text Solution

    |

  3. Two absolute scale X and Y have triple points of water defined to be 3...

    Text Solution

    |

  4. The temperature coefficient of resistant of wire is 12.5 xx 10^(-4) //...

    Text Solution

    |

  5. The reading of Centigrade thermometer coincides with that of Fahrenhei...

    Text Solution

    |

  6. The pressure of a gas filled in the bulb of constant volume gas thermo...

    Text Solution

    |

  7. Which of the curves in figure represents the telation between Celsius ...

    Text Solution

    |

  8. if two tempratures differ by 25 degress on cesisus scale, the differen...

    Text Solution

    |

  9. If a graph is plotted taking the temperature in Fahrenheit along the Y...

    Text Solution

    |

  10. The coefficient of linear exopansion of a metal is 1 xx 10^(-5//0)C. T...

    Text Solution

    |

  11. The length of each steel rail is 10 m in winter. The coefficient of li...

    Text Solution

    |

  12. A clock while keeps correct time at 30^(@)C has a pendulum rod made of...

    Text Solution

    |

  13. A metal plate of area 1.2 m^(2) increases its area by 2.4 xx 10^(-4) m...

    Text Solution

    |

  14. The length of a metal rod at 0^(@)C is 0.5m When it sis heated, its le...

    Text Solution

    |

  15. The density of a substance at 0^(@)C is 10 g//c.c. and at 100^(0)C its...

    Text Solution

    |

  16. What force should be applied to the ends of steel rod of cross section...

    Text Solution

    |

  17. The inner diameter of a breass ring 273 K is 5 cm. To what temperature...

    Text Solution

    |

  18. A metal sheet having size of 0.6 xx 0.5m^(2) is heated from 293 K to 5...

    Text Solution

    |

  19. A crystal has linear coefficients 0.00004//^(@)C, 0.00005//^(@)C, 0.00...

    Text Solution

    |

  20. A wire of length 60 cm is bent to into a circle with a gap of 1 cm. A...

    Text Solution

    |