Home
Class 11
PHYSICS
The periodic time of a body executing si...

The periodic time of a body executing simple harmonic motion is 3 sec. After how much time from time `t=0` , its displacement will be half of its amplitude

A

`1/8s`

B

`1/6s`

C

`1/4s`

D

`1/3s`

Text Solution

Verified by Experts

The correct Answer is:
C
`y = a sin wt` as `y = a/2` we get `t = 1/4s` (Given T = 3s)
Promotional Banner

Topper's Solved these Questions

  • MECHANICAL WAVES

    CBSE COMPLEMENTARY MATERIAL|Exercise NUMERICALS|22 Videos

  • KINETIC THEORY OF GASES

    CBSE COMPLEMENTARY MATERIAL|Exercise Objective question|20 Videos

  • NEWTON'S LAWS OF MOTION

    CBSE COMPLEMENTARY MATERIAL|Exercise Laws Of Motion|20 Videos

Similar Questions

Explore conceptually related problems

The periodic time of a body executing SHM is 2s. After how much time interval from t=0, will its displacement be half of its amplitude?

The periodic time of a particle executing S.H.M. is12 second.After how much intervalfrom t=0 will its displacement be half of its amplitude ?

A body is executing simple harmonic motion with time period of 3 s. After how much time interval (from t = 0) the displacement will be (1)/(sqrt(2)) times of its amplitude ?

A particle executing simple harmonic motion has a time period of 4 s. If the particle starts moving from the mean position at t = 0, then after how much interval of time from t = 0, will its displacement be half of its amplitude ?

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

A particle executes simple harmonic motion. Then the graph of veloctiy as a function of its displacement is

For a particle executing simple harmonic motion, the amplitude is A and time period is T. The maximum speed will be

The periodic time of a particle doing simple harmonic motion is 4 second . The time taken by it to go from its mean position to half the maximum displacement (amplitude) is

A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is 1/a s . The value of 'a' to the nearest integer is___________ .

A particle is executing linear simple harmonic motion of amplitude 'A'. The fraction of the total energy is the kinetic when the displacement is half of the amplitude is

CBSE COMPLEMENTARY MATERIAL-MECHANICAL WAVES-MCQ
  1. The periodic time of a body executing simple harmonic motion is 3 sec....

    Text Solution

    |

  2. Two equations of two SHM y = a sin (omegat-alpha) and y = a cos (omega...

    Text Solution

    |

  3. If a simple pendulum oscillates with an amplitude of 50 mm and time pe...

    Text Solution

    |

  4. The equation of S.H.M. isy=a sin (2 pint + a), then its phase at time...

    Text Solution

    |

  5. The equation of simple harmonic motion y = a sin(2pit+alpha) then its ...

    Text Solution

    |

  6. A particle is oscillating according to the equation X=7 cos 0.5 pit, w...

    Text Solution

    |

  7. The instantaneous displacement of a simple pendulum oscillator is give...

    Text Solution

    |

  8. The velocity of a particle in simple harmonic motion at displacement y...

    Text Solution

    |

  9. A particle is executing simple harmonic motion with a period of T se...

    Text Solution

    |

  10. Displacement between maximum potential energy position energy potentia...

    Text Solution

    |

  11. If tension in the string is increased from 1 KN to 4 KN,other factors ...

    Text Solution

    |

  12. An open organ pipe and a closed organ pipe have the frequency of their...

    Text Solution

    |

  13. The fundamental frequency of a stretched string is V(0). If the length...

    Text Solution

    |

  14. Two waves of same frequency traveling in the same medium in opposite d...

    Text Solution

    |

  15. Equation of progressive wav is given by y = 0.2cospi{(0.4 t +0.02x)-pi...

    Text Solution

    |

  16. For two systems to be in resonance, which of the following properties ...

    Text Solution

    |

  17. Fundamental frequency of a sonometer wire is n. If the length, diamete...

    Text Solution

    |

  18. The frequency of an open organ pipe is V. If half part of organ pipe i...

    Text Solution

    |

  19. Two tuning forks when sounded together produce one beat per 0.4 s. The...

    Text Solution

    |

  20. The angle between wave velocity and particle velocity in a travelling ...

    Text Solution

    |