Home
Class 12
PHYSICS
A particle is executing SHM with an ampl...

A particle is executing SHM with an amplitude of 2 m. The difference in the magnitudes of its maximum acceleration and maximum velocity is 4. The time period of its oscillation is

A

2 s

B

`(7//22)s`

C

`(22/7)s`

D

`(44/7)s`

Text Solution

Verified by Experts

The correct Answer is:
C
`|Aomega^(2)|-|Aomega|=4`
`2(omega^(2))-2omega-4=0`
`2omega^(2)-4omega+2omega-4=0`
`2omega(omega-2)+2(omega-2)=0`
`(2pi)/(T)=2,T=pi=(22)/(7)s`.
Promotional Banner

Topper's Solved these Questions

  • MHT-CET 2016

    NIKITA PUBLICATION|Exercise COMMUNICATION SYSTEMS|1 Videos

  • QUESTION PAPER - MH-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

A particle is executing sin1ple harmonic motion with an amplitude of 2 m. The difference in the magnitude of its maximum acceleration and maximum velocity is 4. The time period of its oscillation and its velocity when it is l m away from the mean position are respectively

A particle executes a linear S.H.M. of amplitude 8 cm and period 2s. The magnitude of its maximum velocity is

A particle is executing a simple harmonic motion. Its maximum acceleration is alpha and maximum velocity is beta . Then, its time period of vibration will be

A particle is executing SHM with amplitude A , time period T , maximum acceleration a_(0) and maximum velocity V_(0) and at time t , it has the displacement A//2 , acceleration a and velocity V then

A particle executing S.H.M. having amplitude 0.01 m and frequency 60 Hz. Determine maximum acceleration of particle.

A particle is executing a simple harmonic motion its maximum acceleration is a and maximum velocity is beta .Then its time of vibration will be

A particle executing simple harmonic motion with an amplitude A and angularr frequency omega . The ratio of maximum acceleration to the maximum velocity of the particle is

A particle performs SHM with an amplitude of 5 m. If at x = 4 m, the magnitude of velocity and accelertion are equal, then the time period of SHM (in seconds) is

If a particle is executing SHM , with an amplitude A , the distance moved and the displacement of the body during its time period is

For a particle in SHM the amplitude and maximum velocity are A and V respectively. Then its maximum acceleration is

NIKITA PUBLICATION-OSCILLATIONS -MCQ
  1. A particle of mass 0.3 kg subject to a force F=-kx with k=15N//m. What...

    Text Solution

    |

  2. The displacement of a SHO is given by y = 2 sin (2pit+pi//4)m. The rat...

    Text Solution

    |

  3. A particle is executing SHM with an amplitude of 2 m. The difference i...

    Text Solution

    |

  4. The maximum velocity and maximum acceleration of a particle executing ...

    Text Solution

    |

  5. A particle is executing SHM with and frequency of (1)/(8) Hz. If it st...

    Text Solution

    |

  6. A particle executes SHM with a time period of 8 s. It is starts from t...

    Text Solution

    |

  7. If the maximum speed of a SHO is pi ms^(-1). Its average speed during ...

    Text Solution

    |

  8. A particle executing SHM passes through the mean position with a veloc...

    Text Solution

    |

  9. The restoring force acting on a particle executing SHM is 10 N at a di...

    Text Solution

    |

  10. The displacement of a SHO is given by, y=0.4sin(10pit+pi//3)cos(10pi...

    Text Solution

    |

  11. A particle executes SHM along x-axis with an amplitude A, time period ...

    Text Solution

    |

  12. If the displacement (y in m) and velocity (v in ms^(-1)) of a particle...

    Text Solution

    |

  13. An object is attched to the bottom of a light vertical spring and set ...

    Text Solution

    |

  14. Two particles A and B execute SHM on a straight line of path length 2 ...

    Text Solution

    |

  15. A particles executes SHM according to the equation y = 2 sin 2pit, whe...

    Text Solution

    |

  16. The ratio of the magnitude of maximum velocity to the maximum accelera...

    Text Solution

    |

  17. The maximum velocity of a particle executing SHM is v. If its amplitud...

    Text Solution

    |

  18. Two simple harmonic oscillators of masses m, 4m have same energy. If t...

    Text Solution

    |

  19. A particle executing SHM has a velocity of 2 ms^(-1) when its displac...

    Text Solution

    |

  20. The phase of a particle executing simple harmonic motion is pi/2 when ...

    Text Solution

    |