Home
Class 11
PHYSICS
On gradual loading , stress - strain rel...

On gradual loading , stress - strain relationship for a metal wire is as follows . Within proportionality limit , stress `prop` strain or, ` "Stress"/"strain"` = a constant for the material of wire.
Two wires of same material have length and radius `(L,r)` and `(2L , r/2)`. The ratio of their young's moduli is

A

`1:2`

B

`2:3`

C

`2:1`

D

`1:1`

Text Solution

Verified by Experts

The correct Answer is:
D
Young's modulus is a material constant. So length and radius do not effect its value. So ratio has to be `1:1`.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Integer|6 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Fill In The Blanks|1 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise Assertion- Reasoning|13 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Integer type|1 Videos

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos

Similar Questions

Explore conceptually related problems

On gradual loading , stress - strain relationship for a metal wire is as follows . Within proportionality limit , stress prop strain or, "Stress"/"strain" = a constant for the material of wire. Just on crossing the yield region, the material will have

On gradual loading , stress - strain relationship for a metal wire is as follows . Within proportionality limit , stress prop strain or, "Stress"/"strain" = a constant for the material of wire. If "Stress"/"Strain" is x in elastic region and y in the region of yield , then

Two wires of same diameter of the same material having the length l and 2l If the force F is applied on each, the ratio of the work done in two wires will be

A force F is required to break a wire of length L and radius r. Find the force required to break a wire of the same material, length 2L and radius 4r.

Two wires of same material and same extension Deltal have lengths l and 3l and diameters 3d and d. What will be the ratio of the forces applied on the two?

Show that the length of a wire which can support its own weight is l=sigma_b//Dg , where sigma_b is the breaking stress of the material of the wire and D is the density of the material of the wire.

The young's modulus of a wire of length (L) and radius (r ) is Y. If the length is reduced to L/2 and radius r/2 , then its young's modulus will be

The young's modulus of a wire of length (L) and radius (r ) is Y. If the length is reduced to L/2 and radius r/2 , then its young's modulus will be

The young's modulus of a wire of length (L) and radius (r ) is Y. If the length is reduced to L/2 and radius r/2 , then its young's modulus will be

Two copper wire of length l and 2l have radii, r and 2r respectively. What si the ratio of their specific resistance.?

CENGAGE PHYSICS ENGLISH-PROPERTIES OF SOLIDS AND FLUIDS-Linked Comprehension
  1. A steel wire of length 4.5 m and cross-sectional area 3 xx 10^(-5) m^(...

    Text Solution

    |

  2. A steel bolt of cross-sectional area A(b) = 5 xx 10^(-5) m^(2) is pass...

    Text Solution

    |

  3. On gradual loading , stress - strain relationship for a metal wire is ...

    Text Solution

    |

  4. On gradual loading , stress - strain relationship for a metal wire is ...

    Text Solution

    |

  5. According to Hooke's law, within the elastic limit stress/strain = con...

    Text Solution

    |

  6. Molecular forces exist between the molecules of a liquid in a containe...

    Text Solution

    |

  7. Molecular forces exist between the molecules of a liquid in a containe...

    Text Solution

    |

  8. Molecular forces exist between the molecules of a liquid in a containe...

    Text Solution

    |

  9. Materials get deformed when force is applied. Some of them regain thei...

    Text Solution

    |

  10. Materials get deformed when force is applied. Some of them regain thei...

    Text Solution

    |

  11. Materials get deformed when force is applied. Some of them regain thei...

    Text Solution

    |

  12. Figure shows a capillary tube of radius r dipped into water. If the a...

    Text Solution

    |

  13. Figure shows a capillary tube of radius r dipped into The atmospheric ...

    Text Solution

    |

  14. Figure shows a capillary tube of radius r dipped into water. If the a...

    Text Solution

    |

  15. In the figure shown, A and B are two short steel rods each of cross-se...

    Text Solution

    |

  16. In the figure shown, A and B are two short steel rods each of cross-se...

    Text Solution

    |

  17. In the figure shown, A and B are two short steel rods each of cross-se...

    Text Solution

    |

  18. Two opposite forcesF(1) = 120 N and F(2) = 80 N act on an elastic plan...

    Text Solution

    |

  19. A ring of radius r made of wire of density rho is rotated about a stat...

    Text Solution

    |

  20. The weight of a body at earth's surface is W. At a depth half way to t...

    Text Solution

    |