Home
Class 11
PHYSICS
Amplitude of oscillation of a particle t...

Amplitude of oscillation of a particle that executes `SHM` is `2cm`. Its displacement from its mean position in a time equal to `1//6^(th)` of its time period is

A

`sqrt(2)` cm

B

`sqrt(3)` cm

C

`(1)/(sqrt(2))` cm

D

`(1)/(sqrt(3)) cm`

Text Solution

Verified by Experts

The correct Answer is:
B
`y = A sin omega t`
`= 2 sin ((2pi)/(T) xx (T)/(6)) rArr "2 sin" (pi)/(3) rArr 2 xx (sqrt(3))/(2) = sqrt(3) cm`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - I (H.W)|66 Videos

  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - II (C.W)|27 Videos

  • OSCILLATIONS

    NARAYNA|Exercise C. U . Q|75 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

Similar Questions

Explore conceptually related problems

A particle executes SHM of amplitude A. At what distance from the mean position is its KE equal to its PE ?

The time period of oscillation of a particle that executes SHM is 1.2s . The time starting from mean position at which its velocity will be half of its velocity at mean position is

The amplitude of oscillation of particles in SHM is sqrt(3)cm . The displacement from mean position at which its potential and kinetic energies are in the ratio 1:2 is

Acceleration of a particle in SHM at displacement x=10 cm (from the mean position is a =-2.5 cm//s^(2) ). Find time period of oscillations.

A particle executes SHM on a straight line path. The amplitude of oscillation is 3 cm. Magnitude of its acceleration is eqal to that of its velocity when its displacement from the mean position is 1 cm. Find the time period of S.H.M.

If A is amplitude of a particle in SHM, its displacement from the mean position when its kinetic energy is thrice that to its potential energy

A particle executes SHM with an amplitude of 0,2 m . Its displacement when its phase is 90^(@) is

The time period of a particle executing SHM is T . After a time T//6 after it passes its mean position, then at t = 0 its :

A partical executes SHM on a straigh line path. The amplitude of oscillation is 2cm. When the displacement of the particle from the mean position is 1cm, the magnitude of its acceleration is equal to that of its velocity. Find the time period of SHM, also the ms. velocity and ms. acceleration of SHM.

When a particle executing a linear S.H.M. moves from its extreme position to the mean position, its

NARAYNA-OSCILLATIONS-EXERCISE - I (C.W)
  1. The frequency of a particle performing SHM is 12Hz. Its amplitude is 4...

    Text Solution

    |

  2. A particle moves according to the law x=r cos.(pit)/(2). The distance ...

    Text Solution

    |

  3. Amplitude of oscillation of a particle that executes SHM is 2cm. Its d...

    Text Solution

    |

  4. A particle is executing simple harmonic motion between exterme positio...

    Text Solution

    |

  5. The period of oscillation of a particle in SHM is 4s and its amplitude...

    Text Solution

    |

  6. The displacement of a particle in SHM is x = 3sin (20 pit) +4 cos(20pi...

    Text Solution

    |

  7. Displacement time equation of a particle executing SHM is, x = 10 sin ...

    Text Solution

    |

  8. The time period of a simple harmonic motion is 8 s At t=0. it is at th...

    Text Solution

    |

  9. A simple harmonic motion is represented by F(t)=10sin(20t+0.5). The am...

    Text Solution

    |

  10. A simple harmonic oscillation has an amplitude A and time period T. Th...

    Text Solution

    |

  11. The motion of a particle is given x = A sin omega t + B cos omega t Th...

    Text Solution

    |

  12. The displacement of a particle along the x-axis is given by x = a sin^...

    Text Solution

    |

  13. Out of the following functions representing motion of a particle which...

    Text Solution

    |

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

    Text Solution

    |

  15. A particle starts from rest at the extreme position and makes SHM with...

    Text Solution

    |

  16. A particle executing simple harmonic motion along y -axis has its moti...

    Text Solution

    |

  17. The equation describing the motion of a simple harmonic oscillator alo...

    Text Solution

    |

  18. A particle in SHM has a period of 4s .It takes time t(1) to start from...

    Text Solution

    |

  19. The equation of the displacement of two particles making SHM are repre...

    Text Solution

    |

  20. Which of the following equation does not represent a simple harmonic m...

    Text Solution

    |