Home
Class 11
PHYSICS
If x, and a denote the displacement, the...

If x, and a denote the displacement, the velocity and the acceler of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

A

`a^2T^2+4pi^2v^2`

B

`aT//x`

C

`aT+2piv`

D

`aT//v`

Text Solution

Verified by Experts

The correct Answer is:
B
`(aT)/(x)=(-omega^2x*(pi)/(omega))/(x)=-2piomega=const ant`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    CP SINGH|Exercise Exercises|125 Videos

  • ROTATIONAL MOTION

    CP SINGH|Exercise Exercise|172 Videos

  • SOUND WAVES

    CP SINGH|Exercise Exercises|130 Videos

Similar Questions

Explore conceptually related problems

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T , then, which of the following does not change with time ?

If x, v and a denote the displacement, velocity and acceleration of a particle exceuting simple harmonic motion of time period T , then, which of the following does not change with time. (1) a^(2)T^(2) +4pi^(2)v^(2) (2) (aT)/(x) (3) aT = 2piv (4) (aT)/(v)

The velocity of a particle executing simple harmonic motion is

The total energy of a particle executing simple harmonic motion is

While a particle executes linear simple harmonic motion

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

The distance moved by a particle in simple harmonic motion in one time period is

Derive an expression for instantaneous velocity and acceleration of a particle executing simple harmonic motion.

For a particle executing simple harmonic motion, which of the following statements is not correct

CP SINGH-SIMPLE HARMONIC MOTION-Exercises
  1. A particle executes simple harmonic motion with a period of 16s. At ti...

    Text Solution

    |

  2. The x-t graph of a particle undergoing simple harmonic motion is shown...

    Text Solution

    |

  3. If x, and a denote the displacement, the velocity and the acceler of a...

    Text Solution

    |

  4. Which one of the following equation at the repressents simple harmonic...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. A verticle mass-spring system executed simple harmonic ascillation wit...

    Text Solution

    |

  9. A particle executes simple harmonic motion with a frequency. (f). The ...

    Text Solution

    |

  10. When a particle oscillates simple harmonically, its potential energy v...

    Text Solution

    |

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

    Text Solution

    |

  12. A body is executing simple harmonic motion. At a displacement x its po...

    Text Solution

    |

  13. Starting from the origin a body osillates simple harmonicall with a pe...

    Text Solution

    |

  14. If a simple harmonic oscillator has got a displacement of 0.02m and ac...

    Text Solution

    |

  15. A point simple harmonic oscilation of the period and the equation of m...

    Text Solution

    |

  16. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

    Text Solution

    |

  17. The time period of simple pendulum is T. If its length is increased by...

    Text Solution

    |

  18. The length of a simple pendulum is increased by 44%. The percentage in...

    Text Solution

    |

  19. A simple pendulum is oscillating in a lift. If the lift starts moving ...

    Text Solution

    |

  20. A girl is swinging on a swing in the sitting position. How will the pe...

    Text Solution

    |