Home
Class 11
PHYSICS
Two metal rods of the same length and ar...

Two metal rods of the same length and area of cross-section are fixed end to end between rigid supports. The materials of the rods have Young module `Y_(1)` and `Y_(2)` , and coefficient of linear expansion `alpha_(1)` and `alpha_(2)` . The junction between the rod does not shift and the rods are cooled

A

`Y_(1)alpha_(1)=Y_(2)alpha_(1)`

B

`Y_(1)alpha_(2)=Y_(2)alpha_(1)`

C

`Y_(1)alpha_(1)^(2)=Y_(2)alpha_(2)^(2)`

D

`Y_(1)^(2)alpha_(1)=Y_(2)^(2)alpha_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y_(1)Aalpha_(1)Deltatheta=Y_(2)alpha_(2)Deltatheta`
`Y_(1)alpha_(1)=Y_(2)alpha_(2)`
Promotional Banner

Topper's Solved these Questions

  • TEMPERATURE AND THERMAL EXPANSION

    CP SINGH|Exercise EXERCISES|64 Videos

  • SOUND WAVES

    CP SINGH|Exercise Exercises|130 Videos

  • UNITS, DIMENIONS AND MEASUREMENTS

    CP SINGH|Exercise Exercises|63 Videos

Similar Questions

Explore conceptually related problems

A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod. It Young's modulus is T and Coefficient if linear expansion is alpha . If the temperature of the rod is increased by Deltat^(@)C , the force exerted by the rod on the supports is

Two rods AB and BC of equal cross-sectional area are joined together and clamped between two fixed supports as shown in the figure. For the rod AB and road BC lengths are l_(1) and l_(2) coefficient of linear expansion are alpha_(1) and alpha_(2) , young's modulus are Y_(1) and Y_(2) , densities are rho_(1) and rho_(2) respectively. Now the temperature of the compound rod is increased by theta . Assume of that there is no significant change in the lengths of rod due to heating. then the time taken by transverse wave pulse to travel from end A to other end C of the compound rod is directly proportional to

A metal rod of length l, cross-sectional area A, Youngs modulus Y and coefficient of linear expansion alpha is heated to t^(@)C . The work that can be performed by the rod when heated is

Two rods of length l_(1) and l_(2) are made of material whose coefficient of linear expansion are alpha_(1) and alpha_(2) , respectively. The difference between their lengths will be independent of temperatiure if l_(1)//l_(2) is to

If L_(1) and L_(2) are the lengths of two rods of coefficients of linear expansion alpha_(1) and alpha_(2) respectively the condition for the difference in lengths to be constant at all temperatures is

Two rods having length l_(1) and l_(2) , made of materials with the linear coefficient of expansion alpha_(1) and alpha_(2) were welded togther. The equivalent coefficients of linear expansion for the obtained rod:-

A unifrom steel rod of length 1m and area of cross-section 20 cm^(2) is hanging from a fixed support. Find the increases in the length of the rod.

A metal rod of length 'L', cross-sectional area 'A', Young's modulus 'Y' and coefficient of linear expansion 'alpha' is heated to 't'^(@)C . The work that can be perfomred by the rod when heated is

CP SINGH-TEMPERATURE AND THERMAL EXPANSION-EXERCISES
  1. In the previous problem, same heat is given to two sphere, which will ...

    Text Solution

    |

  2. A solid metal ball has a spherical cavity. If the ball is heatd, the v...

    Text Solution

    |

  3. The temperature of water at the surface of a deep lake is 2^@C. The te...

    Text Solution

    |

  4. When water is heated from 0^(@)C to 10^(@)C , its volume

    Text Solution

    |

  5. A metal sheet with a cricular hole in heated. The hole

    Text Solution

    |

  6. Two holes of unequal diameters d(1) and d(2)(d(1)gtd(2)) are cut in me...

    Text Solution

    |

  7. In the previous question, the distance between the hole will

    Text Solution

    |

  8. A metal rod is shaped into a ring with a small gap. If this is heated,...

    Text Solution

    |

  9. A the temperature is increased, the time period of a pendulum

    Text Solution

    |

  10. A second's pendulum gives correct time at 25^(@)C . The pendulum shaft...

    Text Solution

    |

  11. A steel rod of length 25cm has a cross-sectional area of 0.8cm^(2) . T...

    Text Solution

    |

  12. Two metal rods of the same length and area of cross-section are fixed ...

    Text Solution

    |

  13. An aluminum sphere is dipped into water as 10^@C. If the temperature i...

    Text Solution

    |

  14. A solid with coefficient of linear expansion aplha just floats in a li...

    Text Solution

    |

  15. A metal ball is being weighed in liquid whose temperature is raised co...

    Text Solution

    |

  16. A metal ball immersed in alcohol weights W1 at 0^@C and W2 at 50^@C. T...

    Text Solution

    |

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

    Text Solution

    |

  18. When a block of iron in mercury at 0^@C, fraction K1of its volume is s...

    Text Solution

    |

  19. A solid whose volume does not change with temperature floats in a liqu...

    Text Solution

    |

  20. In a vertical U-tube containing a luquid, the two arms are maintained ...

    Text Solution

    |