Home
Class 12
PHYSICS
Two wires of equal length and cross sect...

Two wires of equal length and cross sectional area suspended as shown in

Their Young's modulii are `Y_1 = 2xx10^(11)` Pa and `Y_2 = 0.90 xx 10^(11)` Pa respectively. What will be the equivalent Young's modulus of combination?

A

`2.90xx10^(11)Pa`

B

`1.45xx10^(11)Pa`

C

`1.34xx10^(11)Pa`

D

`4.25xx10^(11)Pa`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - B)|15 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - C)|2 Videos

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE|Exercise Try Yourself|32 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE|Exercise SECTION - J|9 Videos

  • Mock test 03

    AAKASH INSTITUTE|Exercise EXAMPLE|37 Videos

Similar Questions

Explore conceptually related problems

Two wires of equal length and cross-section area suspended as shown in figure. Their Young's modulus are Y_(1) and Y_(2) respectively. The equavalent Young's modulus will be

Two wires of equal length and cross-sectional area are suspended as shown in figure. Their Young's modullare Y_1 and Y_2 respectively. The equivalent Young's modulil will bebr>

Two wires have identical lengths and areas of cross-section are suspended by mass M . Their Young's modulus are in the ratio 2:5 .

A horizontal rod suspended from two wires of same length and cross - section. Their Young's modulus are Y_(1) and Y_(2) respectively. The equivalent Young's modulus will be

Two wires of equal dimensions and young's modulus Y_1 and Y_2 are connected end to end. What is the equivalent young's modulus for the combination?

The elastic limit and ultimate strength for steel is 2.48 xx 10^(8) Pa and 4.89 xx 10^(8) Pa respectively. A steel wire of 10 m length and 2 mm cross sectional diameter is subjected to longitudinal tensile stress. Young’s modulus of steel is Y = 2 xx 10^(11) Pa (a) Calculate the maximum elongation that can be produced in the wire without permanently deforming it. How much force is needed to produce this extension? (b) Calculate the maximum stretching force that can be applied without breaking the wire.

Two wires of diameter 0.25 cm , one made of steel and other made of brass, are loaded as shown in the figure. The unloaded length of the steel wire is 1.5 m and that of brass is 1.0 m . Young's modulus of steel is 2.0 xx 10^(11) Pa and that of brass is 1.0 xx 10^(11) Pa. Compute the ratio of elongations of steel and brass wires. (/_\l_("steel"))/(/_\l_("brass"))=?

The force required to stretch a steel wire 1cm^(2) in cross - section to increase its length by 1% ,if its Young's modulus is 2xx10^(11)Nm^(-2) ,is

A light rod of length L=2 m is suspended horizontally from the ceiling by two wires A and B of equal lengths. The wire A is made of steel with the area of cross section A_(S)=1xx10^(-5)m^(2), while the wire B is made of brass of cross sectional area A_(b)=2xx10^(-5)m^(2). A weight W is suspended at a distance x from the wire A as shown in figure. Take, Young's modulus of steel and brass as Y_(s)=2xx10^(11)Nm^(-2) and Y_(b)=1xx10^(11)Nm^(-2) . Determine the value of x so that equal stresses are produced in each wire.

AAKASH INSTITUTE-MECHANICAL PROPERTIES OF SOLIDS-Assignment (SECTION - A)
  1. A wire of length L and cross-sectional area A is made of material of Y...

    Text Solution

    |

  2. A spherical ball contracts in volume by 0.01% when subjected to a norm...

    Text Solution

    |

  3. What is the percentage increase in length of a wire of diameter 2.5 mm...

    Text Solution

    |

  4. Two exactly similar wires of steel and copper are stretched by equal f...

    Text Solution

    |

  5. Which of the following is the graph showing stress-strain variation f...

    Text Solution

    |

  6. A steel rod has a radius 10 mm and a length of 1.0 m. A force stretch...

    Text Solution

    |

  7. Two wires of equal length and cross sectional area suspended as shown ...

    Text Solution

    |

  8. When a wire is stretched to double its length, then

    Text Solution

    |

  9. Select the correct alternative (s)

    Text Solution

    |

  10. A metallic rod of length l and cross - sectional area A is made of a m...

    Text Solution

    |

  11. The Poisson's ratio of a material is 0.5. If a force is applied to a w...

    Text Solution

    |

  12. The load versus extension graph for four wires of same material is sh...

    Text Solution

    |

  13. A uniform cylindrical rod of length L, cross-section area A and Young'...

    Text Solution

    |

  14. One end of a wire of length L and weight w is attached rigidly to a po...

    Text Solution

    |

  15. In the given Fig. 7(CF).2, if the dimensions of the two wires are the ...

    Text Solution

    |

  16. If the Bulk modulus of lead is 8.0xx10^(9)N//m^(2) and the initial den...

    Text Solution

    |

  17. Two wires A and B of same material have radii in the ratio 2:1 and le...

    Text Solution

    |

  18. For a given material, Young's modulus is 2.4 times that of rigidity mo...

    Text Solution

    |

  19. When the temperature of a gas is 20^(@)C and pressure is changed from ...

    Text Solution

    |

  20. The stress versus strain graphs for wires of two materials A and B are...

    Text Solution

    |