Home
Class 11
PHYSICS
The displacement y of a particle executi...

The displacement `y` of a particle executing periodic motion is given by `y = 4 cos^(2) ((1)/(2)t) sin(1000t)`
This expression may be considereed to be a result of the superposition of

A

Two

B

Three

C

Four

D

Five

Text Solution

Verified by Experts

The correct Answer is:
B
`y = 4 cos^(1)((t)/(2)) sin1000t`
`rArr y = 2(1 + cos t)sin 1000t`
`y = 2sin 1000t + 2cos t sin 1000t`
`y = 2sin 1000t + 2sin 999t sin 1000t`
it is a sum of time `S.H.M`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATION AND SIMPLE HARMONIC MOTION

    A2Z|Exercise AIIMS Questions|24 Videos

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Chapter Test|30 Videos

  • PROPERTIES OF MATTER

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

The displacement y of a particle executing periodic motion is given by y = 4 cos^(2) ((1)/(2)t) sin(1000t) This expression may be considered to be a result of the superposition of

The displacement y of a particle periodic motion is given by y = 4 cos ((1)/(2) t) sin (1000 t) This expression may be considered as a result of the superposition of

The displacement of a particle excuting periodic motion is given by y=4cos^(2)(t//2)sin(1000t) . Find the independent constituent SHM's.

The displacement of a particle executing SHM is given by y=cos^(2)(t//2)sin(1000t). Finid the independent constituent SHM's.

The displacement of a particle executing S.H.M. is given by, y = 0.20 sin (100 t) cm. The maximum speed of the particle is

The displacement of a particle executing S.H.M. is given by y = 0.25 sin 200t cm. The maximum speed of the particle is

The displacement of a particle executing simple harmonic motion is given by x=3sin(2pit+(pi)/(4)) where x is in metres and t is in seconds. The amplitude and maximum speed of the particle is

The displacement x of a particle in a straight line motion is given by x=1-t-t^(2) . The correct representation of the motion is

The displacement of a particle executing S.H.M. is given by y = 10 sin [6t + (pi)/(3)] where y is in metres and t is in seconds. Then the initial displacement and velocity of the particle is

A2Z-OSCILLATION AND SIMPLE HARMONIC MOTION-Chapter Test
  1. A particle at the end of a spring executes S.H,M with a period t(2) I...

    Text Solution

    |

  2. The bob of a simple pendulum executm simple harmonic motion in water w...

    Text Solution

    |

  3. A particle of mass (m) is attached to a spring (of spring constant k) ...

    Text Solution

    |

  4. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

    Text Solution

    |

  5. If a simple harmonic motion is represented by (d^(2)x)/(dt^(2))+ax=0, ...

    Text Solution

    |

  6. The function sin^(2)(omega t) represents:

    Text Solution

    |

  7. A particle executes simple harmonic motion with a frequency. (f). The ...

    Text Solution

    |

  8. The mass and diameter of a planet are twice those of earth. What will ...

    Text Solution

    |

  9. A cylinder piston of mass M sides smoothly inside a long cylinder clos...

    Text Solution

    |

  10. Two bodies P and Q of equal masses are suspended from two separate mas...

    Text Solution

    |

  11. The displacement y of a particle executing periodic motion is given by...

    Text Solution

    |

  12. One end of a long metallic wire of length (L) is tied to the ceiling. ...

    Text Solution

    |

  13. A particle of mass (m) is executing oscillations about the origin on t...

    Text Solution

    |

  14. A spring of Force- constant K is cut into two pieces sach that one pie...

    Text Solution

    |

  15. The period of oscillation of a simple pendulum of length (L) suspended...

    Text Solution

    |

  16. An ideal spring with spring - constant K is bung from the colling and...

    Text Solution

    |

  17. For a particle executing SHM, the displacement x is given by x = A cos...

    Text Solution

    |

  18. A simple pendulum has time period (T1). The point of suspension is now...

    Text Solution

    |

  19. Assertion: In simple harmonic motion the velocity is maximum when the ...

    Text Solution

    |

  20. STATEMENT-1 : The height of a liquid column in a U-tube is 0.3 m. If t...

    Text Solution

    |