Home
Class 12
PHYSICS
A point performs simple harmonic oscilla...

A point performs simple harmonic oscillation of period T and the equation of motion is given by `x = a sin (omega t + (pi)/(6))`. After the elapse of what fraction of the time period, the velocity of the point will be equal to half of its maximum velocity ?

A

`T/3`

B

`T/(12)`

C

`T/8`

D

`T/6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • OSCILLATIONS

    TARGET PUBLICATION|Exercise Critical thinking|81 Videos
  • MODEL QUESTION PAPER

    TARGET PUBLICATION|Exercise MODEL QUESTION PAPER -II|47 Videos
  • QUESTION PAPER 2019

    TARGET PUBLICATION|Exercise MCQ|45 Videos

Similar Questions

Explore conceptually related problems

A point simple harmonic oscilation of the period and the equation of motion is given by x a sin (omega t + pi //6) after the step of friction of the time period the velocity of the part will be equal to half of its maximum velocity?

The initial phase of a simple harmonic oscillator is zero. At what fraction of the period, the velocity is half of its maximum value?

A particle undergoes simple harmonic motion having time period T. The time taken in 3/8th oscillation is

A simple harmonic oscillation is represented by the equation, y = 0.40 sin ( 440 t + 0.61) Here y and t are in m and s respectively. What are the values of time period of oscillations?

An alternating voltage is given by E = 100 sin( omega +(pi)/(6))V . The voltage will be maximum for the first time when is [T = periodic time)

Two simple harmonic motions given by, x = a sin (omega t+delta) and y = a sin (omega t + delta + (pi)/(2)) act on a particle will be

A simple harmonic oscillation has an amplitude A and time period T . The time required to travel from x = A to x= (A)/(2) is

A simple harmonic motino has amplitude A and time period T. The maxmum velocity will be

TARGET PUBLICATION-OSCILLATIONS -COMPETITIVE THINKING
  1. The vertical extension in a light spring by a weight of 1 kg suspended...

    Text Solution

    |

  2. A weightless spring of length 60 cm and force constant 200 N/m is kept...

    Text Solution

    |

  3. Two particles are executing simple harmonic of the same amplitude (A) ...

    Text Solution

    |

  4. A particle executes SHM with amplitude of 20 cm and time period of 12 ...

    Text Solution

    |

  5. The path length of oscillation of simple pendulum of length 1 m is 16 ...

    Text Solution

    |

  6. A mass is suspended from a vertica spring which is executing SHM of fr...

    Text Solution

    |

  7. A simple pendulum attached to the ceiling of a stationary lift has a t...

    Text Solution

    |

  8. When the kinetic energy of a body executing S.H.M. is 1/3 of the poten...

    Text Solution

    |

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

    Text Solution

    |

  10. A particle of mass 0.2 kg moves with simple harmonic motion of amplitu...

    Text Solution

    |

  11. A point performs simple harmonic oscillation of period T and the equat...

    Text Solution

    |

  12. In case of a simple harmonic motion, if the velocity is plotted along ...

    Text Solution

    |

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

    Text Solution

    |

  14. A spring of force constant k is cut into lengths of ratio 1 : 2 : 3. T...

    Text Solution

    |

  15. Two masses m1 and m2 are suspended together by a massless spring of co...

    Text Solution

    |

  16. A point mass is subjected to two simultaneous sinusoidal displacement...

    Text Solution

    |

  17. A silver atom in a solid oscillates in simple harmonic motion in some ...

    Text Solution

    |

  18. A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...

    Text Solution

    |

  19. A solid sphere of mass 2 kg is rolling on a frictionless horizontal...

    Text Solution

    |

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

    Text Solution

    |