Home
Class 11
PHYSICS
Two rods of different materials but of t...

Two rods of different materials but of the same sectional area have lengths `L_1` and `L_2`. IF their Young's moduli are `Y_1` and `Y_2` respectively. Then calculate the equivalent Young's modulus of the composite system when the two rods are joined along their lengths.

Text Solution

Verified by Experts

The correct Answer is:
`[(Y_1Y_2(l_1+l_2))/(L_1Y_2+L_2Y_1)]`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Assertion- reason type)|8 Videos

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (Multiple correct answer type)|6 Videos

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise EXERCISE ( Problem Set-II)|6 Videos

  • DOPPLER EFFECT IN SOUND

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|2 Videos

  • EXPANSION OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|1 Videos

Similar Questions

Explore conceptually related problems

Two rods of equal length and cross- sectional area have their Young's moduli Y_1 and Y_2 respectively. IF the rods are joined end to end, then the equivalent Young's modulus of the combined rod system is

Two rods of identical dimensions with Young's modulus Y_1 and Y_2 are joined end to end. The equivalent Young's modulus for the composite rod is

Young moduli of two rods of equal length and equal cross section and Y_1 and Y_2 . These rods are joined end to end forming a composite rod-system. Prove that the equivalent Young's modulus of the composite system of rods =(2Y_1Y_2)/(Y_1+Y_2)

Two wires of same material have length L and L/2 and radius r and r/2 respectively. The ratio of their Young's modulus is

Two rods of different materials are of the same length and cross-sectional area. They are joined lengthwise and rigidly fixed between two walls. The materials of the two rods have different thermal and mechanical properties. What should be the relation between the Young's moduli and the coefficients of linear expansion of the two materials so that the position of the junction point of the rods does not alter even when heated?

Two wires of same material are having same length, but one is thin and another one is thick. Young's modulus of which wire is greater?

Two stretched strings has lengths 'l' and '2l' while tensions are 'T' and '4T' respectively. If they are made of same material the ratio of their frequency is

The end points P and Q of a rod PQ having length 8 unit slide along the lines y = 2 and x = 4 respectively. Find the equation of the locus of the mid point of the rod.

CHHAYA PUBLICATION-ELASTICITY -EXERCISE ( Hots Numerical Problems)
  1. A pillar of height 10 m carries a load of 80 tonne.Calculate the contr...

    Text Solution

    |

  2. A body of mass 2kg and density 2.7 g. cm^-3 is suspended by a steel wi...

    Text Solution

    |

  3. When a load of 10 kg is suspended from one end of a wire of length 1m,...

    Text Solution

    |

  4. The radius of a copper wire is twice that of a steel wire. One end of ...

    Text Solution

    |

  5. Two rods of different materials but of the same sectional area have le...

    Text Solution

    |

  6. The mariana trench is located in the Pacific Ocean, and at one place i...

    Text Solution

    |

  7. A wire AB of radius 0.3 mm and length 300 cm is attached to a fixed su...

    Text Solution

    |

  8. The length of a spring is L and it elongates through l when a load W i...

    Text Solution

    |

  9. A steel wire of length 2 m and of diameter 0.8 mm is rigidly fixed at ...

    Text Solution

    |

  10. Length of a wire is 2l and its area of cross section is a. the wire is...

    Text Solution

    |

  11. A metallic strip has thickness 3 mm and breadth 4 cm. The strip is kep...

    Text Solution

    |

  12. The length of an unstretched elastic string is 2a. It is connected to ...

    Text Solution

    |

  13. The edge of an aluminium cube is 10 cm long. One face of the cube is f...

    Text Solution

    |

  14. What will be the density of lead at a pressure of 2 times 10^4 N.m^-2?...

    Text Solution

    |

  15. One end of a wire of initial length 1.5 is fixed at A and the other en...

    Text Solution

    |

  16. Four identical hollow cylindrical columns of mild steel support a big ...

    Text Solution

    |

  17. A 14.5 kg mass fastened to the end of a steel wire of unstretched leng...

    Text Solution

    |

  18. When a spring is stretched by a distance x, it exerts a force given by...

    Text Solution

    |

  19. A uniform cylinder of length L and mass M having cross sectional area ...

    Text Solution

    |

  20. A load of 31.4 kg is suspended from a wire of radius 10^-3 m and densi...

    Text Solution

    |