Home
Class 12
PHYSICS
The equation of linear S.H.M. of a parti...

The equation of linear S.H.M. of a particle is given by `x =0.5 "sin" [4pi t - (pi)/(3)]`, the term `(pi)/(3)` represents

A

the phase of S.H.M.

B

the initial of S.H.M.

C

angular frequency of S.H.M.

D

period of S.H.M.

Text Solution

Verified by Experts

The correct Answer is:
B

Comparing with `x = A "sin" (omega t+ alpha)`, we find that `(pi)/(3)` represents the epoch.
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 equation of motion of a particle executing a linear S.H.M. is given by x =10 "sin" (4t-pi//6)cm . What is its velocity, when x=6 ?

The equation of motion for an oscillating particle is given by x = 3 sin 4pi t + 4 cos pi t where x is in mm and t is in second. The particle

The equation of a wave motion is given by y = 7 sin(7pi t - 0.4 pi x + (pi)/(3)) , where all quantities are measured in SI units. Then the ratio of wave velocity to the maximum particle velocity is

The equation of a progressive wave is given by, y = 5 sin pi ((t)/(0.02) - (x)/(20)) m, then the frequency of the wave is

The displacment of particle performing a linear S.H.M. is given by x=5 "sin" (8pi+pi//3) , where x is in metre and t is in second. The frequency and period of S.H.M. are given by

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

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 equation of a body of mass m and performing a linear S.H.M is given by x = a "sin" omega t + b "sin" (omega t +(pi)/(2)) . The total energy of the particle at any ins"tan"t is

The S.H.M.s of two particles are given by y_(1)=10 "sin" [2pi t +(pi)/(6)] " and " y_(2) =5["sin" 2pi t + sqrt(3) "cos" 2 pi t] The ratio of their amplitudes is

The equation of linear SHM is x= 10 sin ( 4pi t + pi/6) cm. Find the period and maximum speed of the motion.

MARVEL PUBLICATION-OSCILLATIONS-MCQ
  1. The equation of a particle executing a linear S.H.M. is given by x=4 "...

    Text Solution

    |

  2. A particle performing a linear S.H.M. starts from the positive extremi...

    Text Solution

    |

  3. The equation of linear S.H.M. of a particle is given by x =0.5 "sin" [...

    Text Solution

    |

  4. Two simple harmonic motions are represented by y(1)= 10 "sin" omega t ...

    Text Solution

    |

  5. The phase of a linear harmonic oscillator is found to increase by 10 p...

    Text Solution

    |

  6. The equation of a particle executing a S.H.M. is given by x =4 "sin" o...

    Text Solution

    |

  7. A linear SHM is represented by x=5sqrt(2) ("sin" 2pi t+ "cos" 2pi t)cm...

    Text Solution

    |

  8. What is the amplitude of the S.H.M. obtained by combining the motions....

    Text Solution

    |

  9. The periodic times of two particles P and Q executing S.H.M. s are in ...

    Text Solution

    |

  10. In S.H.M. which one of the following graphs is a straight line ?

    Text Solution

    |

  11. The total work done by the restoring force in simple harmonic motion o...

    Text Solution

    |

  12. The displacement of a particle performing a S.H.M. is given by x =12 "...

    Text Solution

    |

  13. The phase of a particle executing simple harmonic motion is pi/2 when ...

    Text Solution

    |

  14. Two particles A and B execute simple harmonic motions of period T and ...

    Text Solution

    |

  15. when two displacements represented by y(1) = a sin(omega t) and y(2) =...

    Text Solution

    |

  16. A particle is exdecuting a linear SHM. What is the nature of the graph...

    Text Solution

    |

  17. The S.H.M.s of two particles are given by y(1)=10 "sin" [2pi t +(pi)...

    Text Solution

    |

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

    Text Solution

    |

  19. What is the minimum phase difference between two S.H.M.s given by x(2)...

    Text Solution

    |

  20. The displacement of a particle in S.H.M. is given by x= B "sin" (omega...

    Text Solution

    |