Home
Class 11
PHYSICS
An iron tyre is to be fitted on a wooden...

An iron tyre is to be fitted on a wooden wheel 0.1m in diameter. The miameter of the tyre is 6 mm smaller than that of the wheel. The tyre should be heated by a temperature of (coefficient of volume expansion or iron is `3.6xx10^(-5)//^(@)C`)………….. .

A

`167^(@)C`

B

`334^(@)C`

C

`500^(@)C`

D

`1000^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
a
`Deltal=l alpha Deltat`
`0.006=0.994xx3.6xx10^(-5)xxDeltat`
`Deltat=(0.006)/(0.994xx3.6xx10^(-5))=167^(@)C`
Promotional Banner

Topper's Solved these Questions

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2 Marks Questions)|25 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|16 Videos

  • HEAT AND THERMODYNAMICS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED (IV. Conceptual Questions)|15 Videos

  • GRAVITATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Numerical Problems)|18 Videos

  • KINEMATICS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (LONG ANSWER QUESTIONS)|10 Videos

Similar Questions

Explore conceptually related problems

The length of a metal rod at 0^(@)C is 0.5m. When it is heated, its length increases, by 2.7 mm.The final temperature of the rod is (coefficient of linear expansion of the metal =90xx10^(-6)//^(@)C )……………. .

A concrete slab has a length of 10 m on a winter night when the temperature is 0^@C . Find the length of the slab on a summer day when the temperature is 35^@C . The coefficient of linear expansion of concrete is 1.0xx10^(-5) C^(-1) .

An iron ring measuring 15.00 cm in diameter is a be shrunk on a pulley which is 15.05 cm in diameter. All measurements refer to the room temperature 20^0 C . To What minimum temperature should the ring be heated to make the job possible? Calculate the strain developed in the ring when in comes to the room temperature. Coefficient of linear expansion of iron =12 xx 10^(-6) C^(-1) .

A railway track (made of iron) is laid in winter when the average temperature is 18^(@)C . The track consists of sections of 12 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) .

A steel wire of cross-sectional area 0.5mm^2 is held between two fixed supports. If the wire is just taut at 20^@C , determine the tension when the temperature falls to 0^@C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5)C^(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2).

A circular disc made of iron is rotated about its axis at a constant velocity Omega. Calculate the percentage change in the linear speed of a particle of the rim as the disc is slowly heated from 20^@C to 50^@C keeping the angular velocity constant. Coefficient of linear expansion of iron =1.2 xx 10^(-5)C^(-1) .

There is a change in length when a 33000 N tensile force is applied on a steel rod of area of cross - section 10^(-3) . The change of temperature required to produce the same elongation, if the steel rod is heated, is (modulus of elasticity of steel =3xx10^(11)N//m^(2) , coefficient of linear expansion of steel =1.1xx10^(-5)//^(@)C ........................

The volume of a glass vessel is 1000 cc at 20^@C . What volume of mercury should be poured into it at this temperature so that the volume of the remaining space does not change with temperature? Coefficients of cubical expansion of mercury and glass are 1.8 xx 10^(-4)C^(-1) and 9.0xx10^(-6)C^(-1). respectively.

A glass window is to be fit in an aluminum frame. The temperature on the working day is 40^@C and the glass window measures exactly 20 cm xx 30 cm. What should be the size of the aluminum frame so that there is no stress on the glass in winter even if the temperature drops to 0^@C ? Coefficients of linear expansion for glass and aluminum are 9.0 xx 10^(-6)C^(-1) and 24xx10^(-6)C^(-1) respectively.

FULL MARKS-HEAT AND THERMODYNAMICS-ADDITIONAL QUESTIONS SOLVED (I. Choose the correct answer from the following)
  1. When water is heated from 0^(@)C to 10^(@)C , its volume …………… .

    Text Solution

    |

  2. A block of wood is floating on water at 0^(@)C with a certain volume '...

    Text Solution

    |

  3. An iron tyre is to be fitted on a wooden wheel 0.1m in diameter. The m...

    Text Solution

    |

  4. A Steel rod of length 25 cm has a cross - sectional area of 0.8cm^(2)....

    Text Solution

    |

  5. Which of the following will make the volume of an ideal gas four times...

    Text Solution

    |

  6. A perfect gas at 27^(@)C is heated at constant pressure so as to doubl...

    Text Solution

    |

  7. An air bubble doubles in radius on rising from the bottom of a lake to...

    Text Solution

    |

  8. The mass of 1 litre of helium under a pressure of 2 atm and at a tempe...

    Text Solution

    |

  9. Pressure exerted by a perfect gas is equal to …………….. .

    Text Solution

    |

  10. Two vessels A and B contain the same ideal gas. The volume of B is twi...

    Text Solution

    |

  11. According to Boyle's law, PV=C when the temperature of the gas remains...

    Text Solution

    |

  12. The pressure of a gas contained in a closed vessel is increased by 0.4...

    Text Solution

    |

  13. A difference of temperature of 25°C is equivalent to a difference of

    Text Solution

    |

  14. A temperature at which both the Fahrenheit and the centigrade scales h...

    Text Solution

    |

  15. If the temperature of patient is 40^(@)C, his temperature on the Fahre...

    Text Solution

    |

  16. The correct value of 0^(@)C on the Kelvin scale is ……………..

    Text Solution

    |

  17. When a gas in a closed vessel was heated so as to increase its tempera...

    Text Solution

    |

  18. A perfect gas at 27^(@)C is heated at constant pressure so as to doubl...

    Text Solution

    |

  19. Temperature can be expressed as a derived qqantity in terms of ……….. .

    Text Solution

    |

  20. The equation of state corresponding to 8 g of O(2) is

    Text Solution

    |