Home
Class 12
PHYSICS
When a long spring is stretched by 1 cm,...

When a long spring is stretched by 1 cm, the potential energy stored in the spring is U. What will be the potential energy stored in it if it is stretched by 4 cm ?

A

4 U

B

9 U

C

16 U

D

25 U

Text Solution

Verified by Experts

The correct Answer is:
C

`P.E.=U=(1)/(2)Kx^(2) therefore (U_(2))/(U_(1))=(x_(2)^(2))/(x_(1)^(2))=(4^(2))/(1^(2))=16`
Promotional Banner

Topper's Solved these Questions

  • MAGNETISM

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|15 Videos
  • ROTATIONAL MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 3|8 Videos

Similar Questions

Explore conceptually related problems

When a long spring is stretched by 2cm, its potential energy is U. If the spring is stretched by 10cm, the potential energy stored in it will be

When a long spring is stretched by 2 cm, its potential energy is V. If the spring is stretched by 10 cm, the potential energy in it will be

When a spring is stretched by 10 cm, the potential energy stored is E. When the spring is stretched by 10 cm more, the potential energy stored in the spring becomes

When a spring is stretched by 10 cm, the potential energy stored is E. When the spring is stretched by 10 cm more, the potential energy stored in the spring becomes

A long spring is stretched by 3 cm and its potential energy is V . If the spring is stretched by 6 cm ,its potential energy will be

A long spring when stretched by x cm , has a potential energy U . On increasing the stretching to nx cm, the potential energy stored in spring will be

A long spring when stretched by 2cm its potential energy is U .If the same spring is stretched by 8cm then potential energy of spring is

MARVEL PUBLICATION-OSCILLATIONS-MCQ
  1. When the displacment in S.H.M. is half the amplitude, the ratio of pot...

    Text Solution

    |

  2. A particle executes a linear S.H.M. of amplitude A. At what dis"tan"ce...

    Text Solution

    |

  3. When a long spring is stretched by 1 cm, the potential energy stored i...

    Text Solution

    |

  4. For a particle executing S.H.M., the kinetic energy K is given K = K(0...

    Text Solution

    |

  5. When the displacement of a linear harmonic oscillator is 1//3 of its a...

    Text Solution

    |

  6. The potential energies of a linear harmonic oscillator at the mean pos...

    Text Solution

    |

  7. A spring of spring constant 5xx10^(3) N//m is stretched by 4 cm from i...

    Text Solution

    |

  8. The maximum potential energy of a simple harmonic oscilator is U("max"...

    Text Solution

    |

  9. When the displacement of a particle in S.H.M. is 0.2m, its Potential e...

    Text Solution

    |

  10. The total energy of a particle in linear S.H.M. is 20 J. What is its k...

    Text Solution

    |

  11. The P.E. of a linear harmonic oscillator is 4J, when its displacment i...

    Text Solution

    |

  12. For a particle performing a linear SHM the ratio of the frequency of o...

    Text Solution

    |

  13. A linear harmonic oscillator of force constant 10^(6) N//m and amplitu...

    Text Solution

    |

  14. The equation of a body of mass m and performing a linear S.H.M is give...

    Text Solution

    |

  15. The potential energy of a particle, executing a simple harmonic motion...

    Text Solution

    |

  16. If the KE of a particle performing a SHM of amplitude A is (3)/(4) of ...

    Text Solution

    |

  17. When a particle executing a linear S.H.M. moves from its extreme posit...

    Text Solution

    |

  18. When the displacement of a particle executing SHM is one-fourth of its...

    Text Solution

    |

  19. The kinetic energy of a particle executing SHM is 16J. When it is in i...

    Text Solution

    |

  20. The total energy of a body executing a linear S.H.M. is 20 J. What is ...

    Text Solution

    |