Home
Class 11
PHYSICS
The displacement of a particle varies ac...

The displacement of a particle varies according to the relation `y = 4(cos pi t + sin pi t)`. The amplitude of the particle is

A

8

B

-4

C

4

D

`4sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

For given relation
Resultant amplitude `= sqrt(4^(2) +4^(2)) + 4 sqrt(2)`
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 disperod of a particle varies according to the relation x=4 (cos pit+ sinpit) . The amplitude of the particle is.

The displacement of a particle varies with time according to the relation y=a sin omega t +b cos omega t .

The displacement of a particle varies according to the relation x = 3 sin 100t + 8 cos^(2) 50t. Which of the following is/are correct about this motion.

The displacement of a particle varies with time according to the relation y=asinomega+bcosomegat .

The displacement of a particle varies with time according to the relation y=asinomegat+bcoasomegat .

The diplacement of a particle varies with time according to the relation y=a"sin"omegat+b " cos"omegat .

A2Z-OSCILLATION AND SIMPLE HARMONIC MOTION-Chapter Test
  1. Two bodies (M) and (N) of equal masses are suspended from two separate...

    Text Solution

    |

  2. A mass (M) is suspended from a spring of negligible mass. The spring i...

    Text Solution

    |

  3. The displacement of a particle varies according to the relation y = 4(...

    Text Solution

    |

  4. The total energy of a particle, executing simple harmonic motion is. ...

    Text Solution

    |

  5. A particle at the end of a spring executes S.H,M with a period t(2) I...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |