Home
Class 11
PHYSICS
The potential energy of a particle with ...

The potential energy of a particle with displacement X is `U(X)`. The motion is simple harmonic, when (K is a positive constant)

A

`U=-(KX^(2))/2`

B

`U=KX^(2)`

C

`U=K`

D

`U=K X`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise Time period and frequency|18 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise simple pendulum|61 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS |Exercise Acceleration of simple Harmonic motion|21 Videos
  • ROTATIONAL MOTION

    ERRORLESS |Exercise Practice Problems (Problems based on motion of connected mass)|10 Videos
  • SURFACE TENSION

    ERRORLESS |Exercise Exercise|214 Videos

Similar Questions

Explore conceptually related problems

The total energy of a particle having a displacement x, executing simple harmonic motion is

The total energy of a particle executing simple harmonic motion is

The total energy of a particle executing simple garmonic motion is (x- displacement)

The kinetic energy and potential energy of a particle executing simple harmonic motion will be equal, when displacement (amplitude =a ) is

The displacement of a particle in simple harmonic motion in one time period is

In simple harmonic motion,the particle is

The potential energy of a particle, executing a simple harmonic motion, at a dis"tan"ce x from the equilibrium position is proportional to

The equation of motion of a particle executing simple harmonic motion is a+16pi^(2)x = 0 In this equation, a is the linear acceleration in m//s^(2) of the particle at a displacement x in meter. The time period in simple harmonic motion is

The total energy of a particle, executing simple harmonic motion is. where x is the displacement from the mean position, hence total energy is independent of x.

Identify the correct variation of potential energy U as a function of displacement x from mean position (or x^(2) ) of a harmonic oscillator ( U at mean position = 0 )

ERRORLESS -SIMPLE HARMONIC MOTION-Energy of simple Harmonic motion
  1. A particle is vibrating in a simple harmonic motion with an amplitu...

    Text Solution

    |

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

    Text Solution

    |

  3. The potential energy of a particle with displacement X is U(X). The mo...

    Text Solution

    |

  4. The kinetic energy and potential energy of a particle executing simple...

    Text Solution

    |

  5. The total energy of the body excuting S.H.M. is E . Then the kinetic e...

    Text Solution

    |

  6. The potential energy of a particle executing S.H.M. is 2.5 J, when its...

    Text Solution

    |

  7. The angular velocity and amplitude of simple pendulum are omega and r ...

    Text Solution

    |

  8. When the potential energy of a particle executing simple harmonic moti...

    Text Solution

    |

  9. A particle of mass 10 gm is describing S.H.M. along a straight line wi...

    Text Solution

    |

  10. When the displacement is half the amplitude, the ratio of potential en...

    Text Solution

    |

  11. The P.E. of a particle executing SHM at a distance x from its equilibr...

    Text Solution

    |

  12. A vertical mass-spring system executed simple harmonic oscillation wit...

    Text Solution

    |

  13. For any S.H.M., amplitude is 6 cm . If instantaneous potential energy ...

    Text Solution

    |

  14. A body of mass 1kg is executing simple harmonic motion. Its displaceme...

    Text Solution

    |

  15. A particle is executing simple harmonic motion with frequency f . The ...

    Text Solution

    |

  16. There is a body having mass m and performing SHM amplitude a There is ...

    Text Solution

    |

  17. The total energy of a particle executing S.H.M. is 80 J . What is the ...

    Text Solution

    |

  18. In a simple harmonic oscillator, at the mean position

    Text Solution

    |

  19. Displacement between maximum potential energy position energy potentia...

    Text Solution

    |

  20. When a mass M is attached to the spring of force constant k , then the...

    Text Solution

    |