Home
Class 12
PHYSICS
A particle executes a linear S.H.M. give...

A particle executes a linear S.H.M. given by y= 0.5 "sin" 100 (metre).
Its amplitude and frequency given in cm and hertz are

A

50 cm and 100 Hz

B

5 cm and 50 Hz

C

50 cm and `(50)/(pi)Hz`

D

`0.5 " and " (pi)/(50)Hz`

Text Solution

Verified by Experts

The correct Answer is:
C

A=0.5 m =50 cm
`omega t =2pi f= 100 t therefore f=(50)/(pi)Hz`
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 a particle executiing a linear S.H.M. is given by x=0.5 "sin" [44 t+ 0.25] metre. Then the period and the maximum velocity of the partile are given by

The displacement at an ins"tan"t t, of a particle executing a linear S.H.M. is given by x=5 "sin" 31.4(t+0.1). Its periodic time is

A particle executes SHM given by y=0.24sin(400t+0.5) in SI units. Find (i) amplitude (ii) frequency and (iii) time period of vibration.

If the displacement of a particle executing SHM is given by y=0.30 sin (220t +0.64) in metre , then the frequency and maximum velocity of the particle is

The motion of a particle executing S.H.M. is given by x= 0.01 sin 100 pi (t+.05) , where x is in metres and time is in seconds. The time period is

A particle executes S.H.M. given by the equation y = 0.45 sin 2t where y is in meter and t is in second. What is the speed of the particle when its displacement is 7.5 cm?

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 motion of a particle executing S.H.M. is given by x = 5sin200 pi (t + 1) where x is in metres and time is in seconds. The time period 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

MARVEL PUBLICATION-OSCILLATIONS-MCQ
  1. The displacement of a particle executing a S.H.M. is given by x= A "si...

    Text Solution

    |

  2. The maximum velocity of a particle performing a linear S.H.M. of ampli...

    Text Solution

    |

  3. A particle executes a linear S.H.M. given by y= 0.5 "sin" 100 (metre)....

    Text Solution

    |

  4. A body of mass 200 g is executing a S.H.M. of amplitude 50 cm and peri...

    Text Solution

    |

  5. The equation of motion of a particle executing a linear S.H.M. is give...

    Text Solution

    |

  6. A particle performs a S.H.M. of period 2pi sec and amplitude 2 cm. At ...

    Text Solution

    |

  7. A particle is executing a simple harmonic motion. Its maximum accelera...

    Text Solution

    |

  8. If a body of mass 0.98 kg is made to oscillate on a spring of force co...

    Text Solution

    |

  9. The periodic time of a particle executing a linear S.H.M. is (2pi)/(om...

    Text Solution

    |

  10. A body is executing S.H.M. when its displacement from the mean positio...

    Text Solution

    |

  11. A block rests on a horizontal table which is executing SHM in the hori...

    Text Solution

    |

  12. A partilce is executive simple harmonic motion given by x=5sin(4t-pi...

    Text Solution

    |

  13. A particle executes simple harmonic motion with an amplitude of 4 cm ....

    Text Solution

    |

  14. The instantaneous displacement of a simple pendulum oscillator is give...

    Text Solution

    |

  15. The height of a swing changes during its motion from 0.1 m to 2.5 m . ...

    Text Solution

    |

  16. The maximum velocity for a particle in S.H.M. is 0.16 m/s and the maxi...

    Text Solution

    |

  17. The periodic time of a particle performing a linear S.H.M. is 12 sec. ...

    Text Solution

    |

  18. A particle is performing a linear S.H.M. of period 24 s. The velocity ...

    Text Solution

    |

  19. A particle performing SHM has time period (2pi)/(sqrt(3)) and path l...

    Text Solution

    |

  20. A particle executes a linear S.H.M. of angular velocity 4 rad/s and ma...

    Text Solution

    |