Home
Class 11
PHYSICS
When the potential energy of a particle ...

When the potential energy of a particle executing simple harmonic motion is one-fourth of its maximum value during the oscillation, the displacement of the particle from the equilibrium position in terms of its amplitude a is………………

A

`(a)/(4)`

B

`(a)/(3)`

C

`(a)/(2)`

D

`(2a)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(2)momega^(2)y^(2)=(1)/(4)((1)/(2)momega^(2)a^(2))impliesy=(a)/(2)`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2-MARKS QUESTIONS )|8 Videos

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (3-MARKS QUESTIONS )|2 Videos

  • OSCILLATIONS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED (V NUMERICAL PROBLEMS)|7 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos

  • PROPERTIES OF MATTER

    FULL MARKS|Exercise Additional Questions Solved - Numerical Questions|19 Videos

Similar Questions

Explore conceptually related problems

How can the phase difference of two particles executing simple harmonic motions ?

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

For a particle executing simple harmonic motion, the acceleration is proportional to

The potential energy of a particle executing simple harmonic motion at a distance X from the equilibrium position is proportional to …..

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

A particle executing simple harmonic motion comes to rest at the extreme positions. Is the resultant force on the particle zero at these positions according to Newton's first law?

The resultant force acting on a particle executing simple harmonic motion is 4N when it is 5cm away from the centre of oscillation. Find the spring constant.

The maximum velocity of a particle , executing simple harmonic motion with an amplitude 7mm" is "4.4ms^(-1) . The period of oscillation is

For a particle executing simple harmonic motion select correct relation for the acceleration of the particle. Where omega is the angular frequency of the particle.

The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is:

FULL MARKS-OSCILLATIONS -ADDITIONAL QUESTIONS SOLVED
  1. The equation of SHM of a particle is (d^(2)y)/(dt^(2))+ky=0, where k i...

    Text Solution

    |

  2. The amplitude of a damped oscillator becomes half in one minute. The a...

    Text Solution

    |

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

    Text Solution

    |

  4. A massless spring, having force constant k, oscillates with a frequenc...

    Text Solution

    |

  5. For a simple pendulum the graph between length and time period will be...

    Text Solution

    |

  6. A particle is executing simple harmonic motion given by x=5sin(4t-(pi)...

    Text Solution

    |

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

    Text Solution

    |

  8. A particle, moving along the x-axis, executes simple harmonic motion w...

    Text Solution

    |

  9. The motion of a particle is expressed by the equation a=-bx, where x i...

    Text Solution

    |

  10. The angular velocity and the amplitude of a simple pendulum are omega ...

    Text Solution

    |

  11. A particle is oscillating according to the equation x=5cos(0.5pit) whe...

    Text Solution

    |

  12. A seconds pendulum is placed in a space laboratory orbiting around the...

    Text Solution

    |

  13. A mass m is vertically suspended from a spring of negligible mass, the...

    Text Solution

    |

  14. Two simple pendulums of lengths 0.5m and 2.0m respectively are given s...

    Text Solution

    |

  15. A body is executing simple harmonic motion with an angular frequency 2...

    Text Solution

    |

  16. If the displacement of a particle executing SHM, is given by y=0.30 si...

    Text Solution

    |

  17. The kinetic energy of a particle, executing SHM, is 16 J when it is at...

    Text Solution

    |

  18. A particle of mass m is executing oscillations about the origin on the...

    Text Solution

    |

  19. The amplitude of a damped oscillation reduces to one third of its orig...

    Text Solution

    |

  20. Masses m(A) and m(B) hanging from the ends of strings of lengths l(A) ...

    Text Solution

    |