Home
Class 11
PHYSICS
The displacement of a particle from its ...

The displacement of a particle from its mean position (in metre) is given by
`y=0.2 "sin" (10 pi t+ 1.5 pi) "cos" (10 pi t+1.5 pi)`
The motion of the particle is

A

periodic but not SHM

B

non-periodic

C

simple harmonic motion with period 0.1 s

D

simple harmonic motion with period 0.2 s

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    SL ARORA|Exercise Problems for self practice|67 Videos

  • MOTION IN ONE DIMENSION

    SL ARORA|Exercise problems for self practice|66 Videos

  • Physical world

    SL ARORA|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

The displacement of a particle from its mean position (in mean is given by y = 0.2 sin(10pi t + 1.5 pi) cos (10 pi t+ 1.5 pi) . The motion but not S.H.M.

The displacement of a particle from its mean position (in m) varies with time according to the relation y = 0.2 sin (10pit+1.5pi)cos(10pit+1.5pi) . The motion of the particle is

The displacement of a particle ( in meter ) from its mean position is given by the equation y = 0.2 ( cos^(2) "" (pi t)/( 2) - sin^(2) "" ( pi t )/( 2)) , The motion of the above particle is

The displacement of a particle is given by x = 3 sin ( 5 pi t) + 4 cos ( 5 pi t) . The amplitude of particle is

The displacement of a particle of mass 0.1 kg from . its mean position is given by, y = 0.05 sin 4pi(5t+0.4) (where all the quantities are in S.I. unit). Period of motion is 0.1 s. The total energy of the particle is

The displacement of a particle performing a S.H.M is given by x=0.25 "cos" [8 pi t+(pi)/(3)] . The frequency of S.H.M. is

The displacement of a particle performing a S.H.M. is given by x=0.5 "sin" 100 pi (t + 0.05) , where x is in metres and t is in second. Its periodic time in second is

When two sound waves travel in the same direction in a medium, the displacement of a particle located at x at time t is given by y_1=0.05 cos (0.50 pi x-10 pi t) y_2=0.05 cos (0.46 pi x-92 pi t) where y_1,y_2 and x in meters and t in seconds. The speed of sound in the medium is:

The displacement of a particle in S.H.M. is given by x=5["cos" pi t + "sin" pi t] where x is in metre. The amplitude of motion of the particle is given by

SL ARORA-OSCILLATIONS-Exercise
  1. A particle executing simple harmonic motion has a time period of 4 s. ...

    Text Solution

    |

  2. A particle executes simple harmonic motion of amplitude A along the x ...

    Text Solution

    |

  3. The displacement of a particle from its mean position (in metre) is gi...

    Text Solution

    |

  4. Two simple harmonic motions are represented by y(1)=5 [sin 2 pi t + sq...

    Text Solution

    |

  5. Two pendulums have time period T and 5T/4. They starts SHM at the same...

    Text Solution

    |

  6. A particle executes SHM of amplitude A. If T1 and T2 are the times tak...

    Text Solution

    |

  7. Velocity of a body moving in simple harmonic motion is

    Text Solution

    |

  8. A body is executing the S.H.M. with an angular frequency of 2 rad/sec....

    Text Solution

    |

  9. A particle is executing SHM of amplitude 10 cm. Its time period of osc...

    Text Solution

    |

  10. A particles is SHM is described by the displacement function x(t)= a...

    Text Solution

    |

  11. A particle executes SHM, its time period is 16 s. If it passes through...

    Text Solution

    |

  12. The magnitude of acceleration of particle executing SHM at the positio...

    Text Solution

    |

  13. The maximum velocity and the maximum acceleration of a body moving in ...

    Text Solution

    |

  14. A particle executing S.H.M. having amplitude 0.01 m and frequency 60 H...

    Text Solution

    |

  15. A particle executing simple harmonic motion has an amplitude of 6 cm ....

    Text Solution

    |

  16. If x = R sin omega t + R omega t and y = R cos(omega t) + R (where ome...

    Text Solution

    |

  17. A simple harmonic oscillator has amplitude A, angular velocity omega, ...

    Text Solution

    |

  18. Average value of KE and PE over entire time period is

    Text Solution

    |

  19. when the maximum k.E of a simple pendulum is k, then what is its displ...

    Text Solution

    |

  20. The displacement of an SHM doing oscillation when KE. = P.E. (amplitud...

    Text Solution

    |