Home
Class 12
PHYSICS
The potential energy of a stretched spri...

The potential energy of a stretched spring is proportional to

A

the square of force constant

B

the square of the stretching length of the wire

C

the square of original length of wire

D

the cube of the stretch of the wire

Text Solution

Verified by Experts

The correct Answer is:
B
`u prop x^(2)`
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    NIKITA PUBLICATION|Exercise Multiple Choice Questions|314 Videos

  • ELECTROMAGNETIC INDUCTION

    NIKITA PUBLICATION|Exercise MCQs|431 Videos

Similar Questions

Explore conceptually related problems

Derive an expression for the potential energy of a stretched spring .

Statement-1: Graph between potential energy of spring versus the extension or comparision of the spring is a straight line. Statement-2: Potential energy of a stretched or compressed spring is proportional to square of extension or comparission.

The elastic potential enegry of a stretched spring is given by E = 50 x^(2) . Where x is the displacement in meter and and E is in joule, then the force constant of the spring is

The elastic potential energy of a spring

A spring of spring constant k is stretched by distance r. Obtain formula for elastic potential energy of a stretched spring. Plot graph of energies versus distance.

Derive an expression for the potential energy of an elastic stretched spring.

Elastic potential energy density of a given stretch wire is proportional

The elastic potential energy of a stretched wire is given by

Derive an expression for strain energy and show that the strain energy per unit volume of a stretched wire is proportional to the square of the strain.

A body of mass m is suspended from a massless spring of natural length l . It stretches the spring through a vertical distance y . The potential energy of the stretched spring is

NIKITA PUBLICATION-ELASTICITY-MCQ
  1. What is the work done per unit volume when a steel wire is stretched b...

    Text Solution

    |

  2. A long elastic spring is stretched by 2 cm and its P.E. is 20 J. If t...

    Text Solution

    |

  3. The potential energy of a stretched spring is proportional to

    Text Solution

    |

  4. A copper rod 2m long is stretched by 1 mm, the energy stored per unit ...

    Text Solution

    |

  5. An Indian rubber cord 10 cm long is suspended vertically. How much doe...

    Text Solution

    |

  6. A wire is stretched by 2xx10^(-2)m due to the force of 10 N. Then the...

    Text Solution

    |

  7. The young's modulus of the material of a rod is 20xx10^(10) pascal. Wh...

    Text Solution

    |

  8. The ratio of the lengths of the two wires of same Young's modulus and ...

    Text Solution

    |

  9. A 2 kg weight is attached to the lower end of a spring which is hangin...

    Text Solution

    |

  10. A long wire hangs vertically with its upper end clamped, when a torque...

    Text Solution

    |

  11. A wire of area of cross section 1xx10^(-6)m^(2) and length 2 m is stre...

    Text Solution

    |

  12. The work done in stretching a wire by 0.1 mm is 3 J. Then the work don...

    Text Solution

    |

  13. A wire (Y=1xx10^(11)N//m) has length 1m and area 1mm^(2). The work req...

    Text Solution

    |

  14. The length of a rod is 20 cm and area of cross-section 2 cm^(2). The Y...

    Text Solution

    |

  15. If a rod of Young's modulus 20 G Pa undergoes a linear strain of 6xx10...

    Text Solution

    |

  16. A metal rod of length 2.5m and area of cross-section 2.5xx10^(-4)m^(2)...

    Text Solution

    |

  17. The work done to stretch a wire through 1xx10^(-3)m is 2J. Then the wo...

    Text Solution

    |

  18. The energy stored per unit volume of a strained wire is

    Text Solution

    |

  19. Which of the following is dimensionless quantity ?

    Text Solution

    |

  20. The force constant of a wire is k and that of another wire is . 2k Whe...

    Text Solution

    |