Home
Class 11
PHYSICS
Two person pull a rope towards themselve...

Two person pull a rope towards themselves. Each person exerts a force of 100 N on the rope. Find the Young modulus of the material of the rope if it extends in length by 1 cm. Original length of the rope=2 m and the area of cross section =2 cm^2.

Text Solution

Verified by Experts

The correct Answer is:
A, B
`F=100N`
`L=2m, `
`/_\\l=0.01m`,
`A=2xx10^-4`
`Y=F/AxxL/(/_\\L)`
`=100/(2xx10^-4)xx1/0.001`
`=1xx10^8N/m^2`
Promotional Banner

Topper's Solved these Questions

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Objective 2|7 Videos

  • SIMPLE HARMONIC MOTION

    HC VERMA|Exercise Exercises|58 Videos

  • SOUND WAVES

    HC VERMA|Exercise Exercises|89 Videos

Similar Questions

Explore conceptually related problems

Two persons pull each other through a massless rope in tug of war game. Who will win?

The length of a rope is 23.25 m. If two piece s of lengths 6.42 m and 3.09 m are cut, then find the length of the remaining rope.

A rope of length 5 m is kept on frictionless surface and a force of 5 N is applied to one of its end. Find the tension in the rope at 1 m from this end

A rope of length 9 3/4 m is cut into 6 pieces of equal length. Find the length of each piece

Find the greatest possible length of the rope which can be used to measure two sticks of lengths 24 m and 18 m.

A heavy rope is suspended from the ceiling of a room. If phi is the density of the rope, L be its original length and Y be its. Young's modulus, then increase DeltaL in the length of the rope due to its own weight is

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m as shown in A horizontal force F is applied to one end of the rope. Find (a) the acceleration of the rope and block (b) the force that the rope exerts on the block (c) the tension in the rope at its mid point

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m . A force P is applied to the other end of the rope . (a) Find the acceleration of the block and the rope . (b) Find the force that the rope exerts on the block M in terms of P, M and m .

A piece of rope is 42 cm long. What will be the length of each side if the rope is used to form : a regular hexagon ?

HC VERMA-SOME MECHANICAL PROPERTIES OF MATTER-Exercises
  1. In figure the upper wire is made of steel and the lower of copper. The...

    Text Solution

    |

  2. The two wires shown in figure are made of the same material which has ...

    Text Solution

    |

  3. Two person pull a rope towards themselves. Each person exerts a force ...

    Text Solution

    |

  4. A steel rod of cross sectional area 4cm^2 and length 2m shrinks by 0.1...

    Text Solution

    |

  5. Consider the situation shown in figure. The force F is equalk to the m...

    Text Solution

    |

  6. A sphere of mass 20 kg is suspended by a metal wire of unstretched le...

    Text Solution

    |

  7. A steel wire of original length 1 m and cross-sectional area 4.00 mm^2...

    Text Solution

    |

  8. A copper wire of cross sectional asrea 0.01 cm is under a tension of 2...

    Text Solution

    |

  9. Find the increase in pressure required to decrease the volume of a wat...

    Text Solution

    |

  10. Calculate the apprroximate change in density of water in a lake at a d...

    Text Solution

    |

  11. A steel plate of face area 4 cm2 and thickness 0.5 cm is fixed rigidly...

    Text Solution

    |

  12. A 5.0 cm long straight piece of thread is kept on the surface of water...

    Text Solution

    |

  13. Find the excess pressure inside (a) a drop of mercury of radius 2 mm (...

    Text Solution

    |

  14. Consider a small surface area of 1 mm2 at the top of a mercury drop of...

    Text Solution

    |

  15. The capillaries shown in figure (14-E4) have inner radii 0.5 mm, 1.0 m...

    Text Solution

    |

  16. The lower end of a capillary tube is immersed in mercury. The level of...

    Text Solution

    |

  17. A barometer is constructed with its tube having radius 1.0 mm. Assume ...

    Text Solution

    |

  18. A capillary tube of radius 0.50 mm is dipped vertically in a pot of wa...

    Text Solution

    |

  19. Find the surface energy of water kept in a cylindrical vessel of radiu...

    Text Solution

    |

  20. A drop of mercury of radius 2 mm is split into 8 identical droplets. F...

    Text Solution

    |