Home
Class 11
PHYSICS
A particle is executing SHM with an ampl...

A particle is executing SHM with an amplitude 4 cm. the displacment at which its energy is half kinetic and half potential is

A

1 cm

B

`2^(1//2) cm`

C

`2 cm`

D

`2(2)^(1//2) cm`

Text Solution

Verified by Experts

The correct Answer is:
D

at `x=A/(sqrt(2))`
Potential energy =Kinetic energy
`x=2(2)^(1//2) cm`
Promotional Banner

Topper's Solved these Questions

  • SEMICONDUCTORS

    RESONANCE|Exercise Exercise|29 Videos
  • SOUND WAVES

    RESONANCE|Exercise Exercise- 3 PART - II|1 Videos

Similar Questions

Explore conceptually related problems

A particle is executing SHM of amplitude A. at what displacement from the mean postion is the energy half kinetic and half potential?

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 ?

A perticle is vibrating simple harmonically with amplitude 'a' . The displacement of the particle when its energy is half kinetic and half potential is.

A particle executing SHM with an amplitude A. The displacement of the particle when its potential energy is half of its total energy is

A particle executes SHM with an amplitude of 0,2 m . Its displacement when its phase is 90^(@) is

A particle is executing S.H.M. with amplitude 'A' and maximum velocity V_(m) . The displacement at which its velocity is half of the maximum velocity is

A particle is executing SHM with amplitude A. At displacement x=(-A/4) , force acting on the particle is F, potential energy of the particle is U, velocity of particle is v and kinetic energy is K. Assuming potential energyh to be zero at mean position. At displacement x=A/2

A particle is performing SHM with amplitude 2 cm. At what distance from the equilibrium position is its energy half potential ? What is the maximum velocity of the particle if the frequency of its oscillation is 50 Hz.

A body is executing SHM under the action of force whose maximum magnitude is 50N. Find the magnitude of force acting on the particle at the time when its energy is half kinetic and half potential.

A particle executes SHM with an amplitude 4 cm. Locate the position of point where is speed is half its maximum speed. At what displacement is potential energy equal to kinetic energy?

RESONANCE-SIMPLE HARMONIC MOTION-Exercise
  1. The graph in the figure shows how the displacement of a particle descr...

    Text Solution

    |

  2. For a simple harmonic vibrator frequency n, the frequency of kinetic e...

    Text Solution

    |

  3. A particle is executing SHM with an amplitude 4 cm. the displacment at...

    Text Solution

    |

  4. For a particle executing S.H.M. which of the following statements hold...

    Text Solution

    |

  5. The equation of SHM of a particle is (d^2y)/(dt^2)+ky=0, where k is a ...

    Text Solution

    |

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

    Text Solution

    |

  7. A linear harmonic oscillator of force constant 2 xx 10^6 N//m and ampl...

    Text Solution

    |

  8. A particle excuting S.H.M. of amplitude 4 cm and T = 4 sec .The time t...

    Text Solution

    |

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

    Text Solution

    |

  10. A body of mass m is suspended from three springs as shown in figure. I...

    Text Solution

    |

  11. One mass m is suspended from a spring. Time period of oscilation is T....

    Text Solution

    |

  12. A spring has a certain mass suspended from it and its period for verti...

    Text Solution

    |

  13. Two objects A and B of equal mass are suspended from two springs const...

    Text Solution

    |

  14. If the period of oscillation of mass M suspended from a spring is one ...

    Text Solution

    |

  15. A simple pendulum suspended from the ceilling of a stationary trolley ...

    Text Solution

    |

  16. If length of simple pendulum is increased by 6% then percentage change...

    Text Solution

    |

  17. A man measures the period of a simple pendulum inside a stationary lif...

    Text Solution

    |

  18. In case of a forced vibration the resonance wave becomes very sharp wh...

    Text Solution

    |

  19. The amplitude of damped oscillator becomes half in one minute. The amp...

    Text Solution

    |

  20. Statement-1: kinetic energy of SHM at mean position is equal to potent...

    Text Solution

    |