Home
Class 12
PHYSICS
The total energy of a particle, executin...

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

A

(a)`propx`

B

(b)`propx^(2)`

C

(c)independent of `x`

D

(d)`prop x^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
The total energy of a harmonic oscillator is a constant and it is expressed as
`E = (11)/(2) momega^(2)("Amplitude")^(2)`
E is independen to x instantaneous displacement.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise-05 [B]|12 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise MCQ s one or more than one correct answers|5 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise-04 [B]|104 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

  • TEST PAPER

    ALLEN |Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle executing simple harmonic motion is given by y= A_(0) +A sin omega t+ B cos omega t . Then the amplitude of its oscillation is given by:

The motion of a particle executing simple harmonic motion is described by the displacement function, x(t)=Acos(omegat+phi) . If the initial (t = 0) position of the particle is 1 cm and its initial velocity is omega cm/s, what are its amplitude and initial phase angle ? The angular frequency of the particle is pi s^(-1) . If instead of the cosine function, we choose the sine function to describe the SHM : x = B sin (omegat + alpha) , what are the amplitude and initial phase of the particle with the above initial conditions.

Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing simple harmonic motion is……..

The maximum velocity of a particle executing simple harmonic motion with an amplitude 7 mm is 4.4 m/s. The period of oscillation is.

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?

The phase difference between the displacement and acceleration of a particle execuliting simple harmonic motion is

Position-time relationship of a particle executing simple harmonic motion is given by equation x=2sin(50pit+(2pi)/(3)) where x is in meters and time t is in seconds. What is the position of particle at t=0 ?

Position-time relationship of a particle executing simple harmonic motion is given by equation x=2sin(50pit+(2pi)/(3)) where x is in meters and time t is in seconds. What is the position of particle at t=1s ?

ALLEN -SIMPLE HARMONIC MOTION-Exercise-05 [A]
  1. Two particle A and B of equal masses are suspended from two massless s...

    Text Solution

    |

  2. A particle at the end of a spring executes simple harmonic motion with...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. A particle of mass 0.3 kg subject to a force F=-kx with k=15N//m. What...

    Text Solution

    |

  6. The function sin^(2) (omegat) represents.

    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))+αx=0, ...

    Text Solution

    |

  9. The bob of a simple pendulum is a spherical hollow ball filled with wa...

    Text Solution

    |

  10. The maximum velocity of a particle executing simple harmonic motion wi...

    Text Solution

    |

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

    Text Solution

    |

  12. The displacement of an obuect attached to a spring and executing simpl...

    Text Solution

    |

  13. A point mass oscillates along the x-axis according to the law x=x(0) c...

    Text Solution

    |

  14. If a simple pendulum has significant amplitude (up to a factor of (1)/...

    Text Solution

    |

  15. An ideal gas enclosed in a cylindrical container supports a freely mov...

    Text Solution

    |

  16. A particle moves with simple harmonic motion in a straight line. In fi...

    Text Solution

    |

  17. A pendulumd made of a uniform wire of cross sectional area (A) has tim...

    Text Solution

    |

  18. For a simple pendulum, a graph is plotted between itskinetic energy (K...

    Text Solution

    |

  19. A simple harmonic oscillator of angular frequency 2 "rad" s^(-1) is ac...

    Text Solution

    |

  20. A cylindrical of wood (density = 600 kg m^(-3)) of base area 30 cm^(2)...

    Text Solution

    |