Home
Class 11
PHYSICS
The total energy of a particle, executin...

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.

A

`prop x`

B

`prop x^(2)`

C

independent of `x`

D

`prop x^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
C

Total energy`= (1)/(2) m omega^(2)a^(2)= constant`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATION AND SIMPLE HARMONIC MOTION

    A2Z|Exercise AIIMS Questions|24 Videos
  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Chapter Test|30 Videos
  • PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

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

The total meachanical energy of a particle executing simple harmonic motion is E when the displacement is half the amplitude is kinetic energy will be

The energy of a particle executing simple harmonic motion is given by E=Ax^2+Bv^2 where x is the displacement from mean position x=0 and v is the velocity of the particle at x then choose the correct statement(s)

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

A particle executes simple harmonic motion with an amplitude 9 cm. At what displacement from the mean position, energy is half kinetic and half potential ?

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 velocity of a particle in simple harmonic motion at displacement y from mean position is

If a particle is executing simple harmonic motion, then acceleration of particle

In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic ?

The total energy of a partical executing simple harmonic motion of period 2pi secon is 10,240ert. The displacement of the particle at pi//4 second is 8sqrt(2)cm . Calculate the amplitutde of motion and mass of the particle

A2Z-OSCILLATION AND SIMPLE HARMONIC MOTION-Chapter Test
  1. A mass (M) is suspended from a spring of negligible mass. The spring i...

    Text Solution

    |

  2. The displacement of a particle varies according to the relation y = 4(...

    Text Solution

    |

  3. The total energy of a particle, executing simple harmonic motion is. ...

    Text Solution

    |

  4. A particle at the end of a spring executes S.H,M with a period t(2) I...

    Text Solution

    |

  5. The bob of a simple pendulum executm simple harmonic motion in water w...

    Text Solution

    |

  6. A particle of mass (m) is attached to a spring (of spring constant k) ...

    Text Solution

    |

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

    Text Solution

    |

  8. If a simple harmonic motion is represented by (d^(2)x)/(dt^(2))+ax=0, ...

    Text Solution

    |

  9. The function sin^(2)(omega t) represents:

    Text Solution

    |

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

    Text Solution

    |

  11. The mass and diameter of a planet are twice those of earth. What will ...

    Text Solution

    |

  12. A cylinder piston of mass M sides smoothly inside a long cylinder clos...

    Text Solution

    |

  13. Two bodies P and Q of equal masses are suspended from two separate mas...

    Text Solution

    |

  14. The displacement y of a particle executing periodic motion is given by...

    Text Solution

    |

  15. One end of a long metallic wire of length (L) is tied to the ceiling. ...

    Text Solution

    |

  16. A particle of mass (m) is executing oscillations about the origin on t...

    Text Solution

    |

  17. A spring of Force- constant K is cut into two pieces sach that one pie...

    Text Solution

    |

  18. The period of oscillation of a simple pendulum of length (L) suspended...

    Text Solution

    |

  19. An ideal spring with spring - constant K is bung from the colling and...

    Text Solution

    |

  20. For a particle executing SHM, the displacement x is given by x = A cos...

    Text Solution

    |