Home
Class 12
PHYSICS
The equation of displacement of a harmon...

The equation of displacement of a harmonic oscillator is x =`3sin omega t`+4 `cos omega t`amplitude is

A

2

B

5

C

7

D

12

Text Solution

Verified by Experts

The correct Answer is:
B

`x=3 "sin"g omega t +4 "cos" omega t " " therefore A = sqrt(3^(2)+4^(2))=5`
Promotional Banner

Topper's Solved these Questions

  • MAGNETISM

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|15 Videos
  • ROTATIONAL MOTION

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 3|8 Videos

Similar Questions

Explore conceptually related problems

The displacement of an oscillator is given by x=a sin omega t+b cos omega t where a, b and omega , are constant. Then -

Current in an ac circuit is given by I= 3 sin omega t + 4 cos omega t, then

The linear displacement (y) of a particle varies with time as y = (a sin omega t + b cos omega t) . State whether the particle is executing SHM or not.

The epoch of a simple harmonic motion represented by x = sqrt(3)sin omegat + cos omega t m is

The displacement of a particle executing a S.H.M. is given by x= A "sin" omega t +A "cos" omega t . What is the amplitude of motion ?

The SHM of a particle is given by the equation x=2 sin omega t + 4 cos omega t . Its amplitude of oscillation is

The displacement equation of a particle of medium during wave mation is given by y=A sin omega t-B cos omega t The amplitude of the oscillator will be

The displacement of an eleastic wave is given by the function y=3 sin omega t +4 cos omegat . where y is in cm and t is in second. Calculate the resultant amplitude.

The displacement of an object oscillating on a spring is given by x(t) = x_(m) cos (omega t+ phi) . If the initial displacement is zero and the initial velocity is in the negative x direction. Then the phase constant phi is

MARVEL PUBLICATION-OSCILLATIONS-MCQ
  1. The physical qunnity whose SI unit is the same as that of the force co...

    Text Solution

    |

  2. A particle moving along the X-axis executes simple harmonic motion, th...

    Text Solution

    |

  3. The equation of displacement of a harmonic oscillator is x =3sin omega...

    Text Solution

    |

  4. The displacement of a particle varies with time according to the relat...

    Text Solution

    |

  5. Two simple harmonic motions are represented as y(1)=10 "sin" omega " a...

    Text Solution

    |

  6. The restoring force F acting on a particle of mass (m) executing a S. ...

    Text Solution

    |

  7. When a particle performs a U.C.M. of diameter 10cm, its projection alo...

    Text Solution

    |

  8. The frequency of a particle performing a linear S.H.M is (5)/(2pi)Hz. ...

    Text Solution

    |

  9. Which one of the following statements about a linear S.H.M. is false ?

    Text Solution

    |

  10. A particle executes a simple harmonic motion of amplitude 1.0 cm along...

    Text Solution

    |

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

    Text Solution

    |

  12. The displacement of a particle varies with time according to the relat...

    Text Solution

    |

  13. If the particle in linear S.H.M. starts from the extreme left position...

    Text Solution

    |

  14. For a simple harmonic oscillator, the aceeleration is 3 m//s^(2) when ...

    Text Solution

    |

  15. A particle executes a linear S.H.M. of amplitude 8 cm and period 2s. T...

    Text Solution

    |

  16. A particle moves in such a way that its acceleration a= - bx, where x ...

    Text Solution

    |

  17. A particle perfoms a S.H.M. of amplitude A and period T. It the partic...

    Text Solution

    |

  18. A body performs a S.H.M. of amplitude a. If the speed of the particle ...

    Text Solution

    |

  19. For a particle performing linear SHM, its average speed over one oscil...

    Text Solution

    |

  20. The differential equation of a particle performing a S.H.M. is (d^(2)x...

    Text Solution

    |