Home
Class 11
PHYSICS
The breaking stress for a substance is 1...

The breaking stress for a substance is `10^(6)N//m^(2)`. What length of the wire of this substance should be suspended verticaly so that the wire breaks under its own weight? (Given: density of material of the wire `=4xx10^(3)kg//m^(3)` and `g=10 ms^(-12))`

A

`10m`

B

`15m`

C

`25m`

D

`34m`

Text Solution

Verified by Experts

The correct Answer is:
C

Breaking stress`=("Maximum weight")/("Area of cross section")`
`10^(6)=(alrhog)/a=lrhog`
or `l=(10^(6))/(rhog)=(10^(6))/(4xx10^(3)xx100m=25m`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Multiple Correct|17 Videos
  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Assertion- Reasoning|13 Videos
  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise Subjective|16 Videos
  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS|Exercise Integer type|1 Videos
  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS|Exercise Integer|11 Videos

Similar Questions

Explore conceptually related problems

Breaking stress for a material is 2 xx 10^8 N//m^2 . What maximum length of the wire of this material can be taken t the wire does not break by own weight? Density of material = 5 xx 10^3 kg//m^3

For steel, the breaking stress is 8 xx 10^(6) N//m^(2) . What is the maximum length of a steel wire, which can be suspended without breaking under its own weight? [ g = 10 m//s^(2) , density of steel = 8 xx 10^(3) kg//m^(3) ]

If the density of a substance is 2xx10^(3)kg" "m^(-3) , then the mass of 5 m^(3) of this substances is

A wire has breaking stress of 6xx10^(5)N//m^(2) and a densiity of 3xx10^(4)kg//m^(3) . The length of the wire of the same material which will break under its own weight, (if g=10m//s^(2) ) is

The breaking stress of a material is 10^(8)Nm^(-2) . Find the greatest length of a wire that could hang vertically without breaking. Density of material =3000kgm^(-3)

For steel the breaking stressis 6xx10^(6)N//m^(2) and the density is 8xx10^(3)kg//m^(3) . The maximum length of steel wire, which can be suspended witout breaking under its own weight is [g=10m//s^(2)]

The breaking stress for a metal is 7.8 xx 10^9 Nm^-2 . Calculate the maximum length of the wire of this metal which may be suspended breaking. The density of the metal = 7.8 xx 10^3kg m^-3 . Take g = 10 N kg^-1

The breaking stress for a wire of radius r of given material is F N//m^(2) . The breaking stress for the wire of same material of radius 2r is:

The breaking stress of the material of a wire is 6xx10^(6)Nm^(-2) Then density rho of the material is 3xx10^(3)kgm^(-3) . If the wire is to break under its own weight, the length (in metre) of the wire made of that material should be (take g=10ms^(-2) )

CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-Single Correct
  1. Two wires of the same material have lengths in the ratio 1:2 and their...

    Text Solution

    |

  2. A piece of copper wire has twice the radius of a piece of steel wire....

    Text Solution

    |

  3. The breaking stress for a substance is 10^(6)N//m^(2). What length of ...

    Text Solution

    |

  4. Water rises to a height of 2 cm in a capillary tube. If the tube is ti...

    Text Solution

    |

  5. A spherical liquid drop of radius R is divided into eight the surface ...

    Text Solution

    |

  6. Air is pushed inot a soap bubble of radius r to duble its radius. If t...

    Text Solution

    |

  7. A water drop is divided into eight equal droplets. The pressure differ...

    Text Solution

    |

  8. A vessel whose , bottom has round holes with diameter 0.1 mm, is fille...

    Text Solution

    |

  9. Water rises to a height of 10 cm in a capillary tube and mercury falls...

    Text Solution

    |

  10. The velocity of small ball of mass M and density d(1) when dropped in ...

    Text Solution

    |

  11. Two soap bubbles, one of radius 50 mm and the other of radius 80 mm, a...

    Text Solution

    |

  12. A glass rod of radius r(1) is inserted symmetrically into a vertical c...

    Text Solution

    |

  13. A large number of droplets, each of radius a, coalesce to form a bigge...

    Text Solution

    |

  14. A thick rope of density rho and length L is hung from a rigid support....

    Text Solution

    |

  15. When the load on a wire is slowly increased from 3 to 5 kg wt, the elo...

    Text Solution

    |

  16. Two identical wires of iron and copper with their Young's modulus in t...

    Text Solution

    |

  17. A wire of cross section A is stretched horizontally between two clamps...

    Text Solution

    |

  18. A long wire hangs vertically with its upper end clam A torque of 8 Nm ...

    Text Solution

    |

  19. The bulk modulus of water is 2.0xx10^(9) N//m^(2). The pressure requir...

    Text Solution

    |

  20. Two rods of different materials having coefficients of thermal expansi...

    Text Solution

    |