Home
Class 11
PHYSICS
The lengths of an iron and a zinc rod at...

The lengths of an iron and a zinc rod at `0^(@)C` are 25.55 cm and 25.5 cm respectively. At what temperature will their lengths be equal? Coefficients of linear expansion of iron and zinc are `10 times 10^(-6@)C^(-1)` and `30 times 10^(-6@)C^(-1)` respectively.

Text Solution

Verified by Experts

The correct Answer is:
`98^(@)`C (approx)
Promotional Banner

Topper's Solved these Questions

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise EXERCISE - PROBLEM SET - II|10 Videos

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise EXERCISE - HOST NUMERICAL PROBLEMS|6 Videos

  • EXPANSION OF SOLIDS AND LIQUIDS

    CHHAYA PUBLICATION|Exercise EXERCISE - SHORT ANSWER TYPE QUESTIONS - II|5 Videos

  • EXPANSION OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|1 Videos

  • FIRST AND SECOND LAW OF THERMODYNAMICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

Coefficient of linear expansion of iron is 12 times 10^(-6@)C^(-1) - explain the statement.

A steel scale is error-less at 50^(@)F . Using the scale, the length of a brass rod is found to be 1.5 m at 50^(@)C . What is the true length of the rod at 100^(@)C ? (Coefficients of linear expansion of steel and brass are 11.2 times 10^(-6@)C^(-1) " and " 18 times 10^(-6@)C^(-1) respectively.)

If mercury is kept in a glass vessel and in a copper vessel separately, will the coefficient of apparent expansion in both cases be the same ? If not, in which case will it be greater ? Coefficients of volume expansion of glass and copper are 25 times 10^(-6@)C^(-1) " and " 50 times 10^(-6@)C^(-1) respectively.

The difference in length of two metal rods A and B is 25 cm at all temperatures. Coefficients of linear expansion of the materials of A and B are 1.28 times 10^(-5@)C^(-1) " and " 1.92 times 10^(-5@)C^(-1) respectively. Find the length of each rod at 0^(@)C .

Densities of glass at 10^(@)C and 60^(@)C are 2.6g*cm^(-3) " and " 2.596 g*cm^(-3) respectively. What is the average coefficients of linear expansion of glass in between these two temperatures?

A brass rod has a length of 150 cm at 40^(@)C . What will be its length at 100^(@)C ? The coefficient of linear expansion of brass is 18 times 10^(-6@)C^(-1) .

The length of each steel rail of a line at 10^(@)C is 25 m. What gap should be maintained between two successive rails so that up to 50^(@)C they will not be strained? [coefficient of linear expansion of steel =11 times 10^(-6@)C^(-1) ]

Apparent weights of a solid in a liquid are 50g" and " 52g " at " 25^(@)C " and " 75^(@)C respectively. If the coefficient of linear expansion of the solid is alpha_(s)=6.6 times 10^(-6@)C^(-1), " and " gamma for the liquid is 7.3 times 10^(-4@)C^(-1) , what is the real weight of the solid in air?

The lengths of a copper rod are 200.166 cm and 200.664 cm at 50^(@)C and 200^(@)C respectively. What is the coefficient of linear expansion of copper?

CHHAYA PUBLICATION-EXPANSION OF SOLIDS AND LIQUIDS-EXERCISE - PROBLEM SET - I
  1. If the temperature of a rod of length 2 m is increased by 100^(@)C, wh...

    Text Solution

    |

  2. When the temperature of a 3 m long iron rod is increased from 0^(@)C t...

    Text Solution

    |

  3. Due to rise in temperature of a brass rod by 100^(@)C, its length incr...

    Text Solution

    |

  4. The lengths of an iron and a zinc rod at 0^(@)C are 25.55 cm and 25.5 ...

    Text Solution

    |

  5. The length of the steel structure of a bridge is 0.5 km and it has to ...

    Text Solution

    |

  6. A steel tape 1 m long is correctly calibrated for a temperature of 27....

    Text Solution

    |

  7. An iron sphere is to be passed through a circular brass ring. At 20^(@...

    Text Solution

    |

  8. Diameter of a brass disc at 30^(@)C is 10 cm. What will be the increas...

    Text Solution

    |

  9. Prove that, the expansion of volume V of a solid due to a rise Deltat ...

    Text Solution

    |

  10. Densities of glass at 10^(@)C and 60^(@)C are 2.6g*cm^(-3) " and " 2.5...

    Text Solution

    |

  11. A square metal plate of side 100 cm at 0^(@)C, has a circular hole of ...

    Text Solution

    |

  12. The coefficient of apparent expansion of a liquid in a brass vessel is...

    Text Solution

    |

  13. Volume of the bulb of a thermometer is 1 cm^3. Each degree division of...

    Text Solution

    |

  14. The bulb and the stem of a mercury-in-glass thermometer contains 1 cm^...

    Text Solution

    |

  15. Masses of 10cm^(3) of water at 0^(@)C and 4^(@)C are 9.998 g and 10 g ...

    Text Solution

    |

  16. A capilllary glass tube of uniform bore contains a thread of mercury 1...

    Text Solution

    |

  17. A closed glass bulb contains some mercury. Volumes of the empty space ...

    Text Solution

    |