Home
Class 12
PHYSICS
A simple harmonic oscillator has its dis...

A simple harmonic oscillator has its displacement varying as x = 15 sin `(2pit+pi//4)` metre. Then its initial displacement is

A

15 m

B

`15//sqrt(2) m`

C

`15 sqrt(2) m`

D

`7.5 m`

Text Solution

Verified by Experts

The correct Answer is:
B
`x=15sin(2pit+(pi)/(4))`
`=15sin(2pixx0+(pi)/(4))`
`=15sin.(pi)/(4)`
`=15xx(1)/(sqrt(2))=(15)/(sqrt(2))m`
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

The displacement equation of an oscillator is given by x = 5 sin (2pit+0.5pi)m . Then its time period and initial displacement are

The displacement of a simple harmonic oscillator is given by x = 4 cos (2pit+pi//4)m . Then velocity of the oscillator at t = 2 s is

A body executing linear simple harmonic motion has a velocity of 3 cm/s when its displacement is 4 cm and a velocity of 4 cm/s when its displacement is 3 cm. Then amplitude of oscillation with be

The acceleration of a simple harmonic oscillator is 1 m//s^(2) when its displacement from mean position is 0.5 m. Then its frequency of oscillation is

The displacement equation of a particle performing S.H.M. is x = 10 sin (2pit+(pi)/(6)) m. Then the initial displacement of a particle is

A body is executing simple harmonic motion. At a displacement x (from its mean position) its potential energy is E_(1) and at a displacement y its potential energy is E_(2) . The potential energy is E at displacement (x+y) . Then:

A simple harmonic oscillator has amplitude 2 A and maximum velocity 2 V. Then its displacement at which its velocity is V and the velocity at displacement A are

The period of a simple harmonic oscillator is 2 s. If it crosses mean position at an instant. The time after which its displacement from the mean position will be half of the amplitude is.

The displacement of a simple harmonic oscillator is, x = 5 sin (pit//3) m . Then its velocity at t = 1 s, is

The displacement of a SHO is given by y = 2 sin (2pit+pi//4)m . The ratio of its initial displacement to maximum displacement is

NIKITA PUBLICATION-OSCILLATIONS -MCQ
  1. Velocity of a simple harmonic oscillator in the mean position is v(0)....

    Text Solution

    |

  2. A body executing S.H.M. has a period of 3 s under one force and 4 s un...

    Text Solution

    |

  3. A simple harmonic oscillator has its displacement varying as x = 15 si...

    Text Solution

    |

  4. A particle executes S.H.M., according to the displacement equation x =...

    Text Solution

    |

  5. The displacement equation of a particle performing S.H.M. is x = 10 si...

    Text Solution

    |

  6. If the displacement of a particle executing S.H.M. is given by x = 0.2...

    Text Solution

    |

  7. Two simple harmonic motions are given by y(1) = a sin [((pi)/(2))t + p...

    Text Solution

    |

  8. The displacement of a simple harmonic oscillator is, x = 5 sin (pit//3...

    Text Solution

    |

  9. A particle oscillates, according to the equation x = 5 cos (pit//2) m....

    Text Solution

    |

  10. A particle executing S.H.M. is given by x=10sin(8t+pi//3)m. Its velo...

    Text Solution

    |

  11. The displacement equation of an oscillator is given by x = 5 sin (2pit...

    Text Solution

    |

  12. The acceleration of a simple harmonic oscillator is 1 m//s^(2) when it...

    Text Solution

    |

  13. The displacement of a simple harmonic oscillator is given by x = 4 cos...

    Text Solution

    |

  14. A particle executes SHM along a straight line so that its period is 12...

    Text Solution

    |

  15. Two bodies of equal mass are hung from two light vertical springs. The...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |