Home
Class 12
PHYSICS
A particles executes SHM according to th...

A particles executes SHM according to the equation y = 2 sin `2pit`, where y is displacement in m and t is time in s. The distance covered by the particle in 4 s of its motion is

A

0

B

2 m

C

8 m

D

32 m

Text Solution

Verified by Experts

The correct Answer is:
D

`omega=2pi,T=(2pi)/(omega)=1s`
The distance covered by particle in a time period (T) is,
`=4A=4xx2=8m`.
In 4s, the particle makes 4 oscillations and in 4 oscillations distance covered is,
Promotional Banner

Topper's Solved these Questions

  • MHT-CET 2016

    NIKITA PUBLICATION|Exercise COMMUNICATION SYSTEMS|1 Videos
  • QUESTION PAPER - MH-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

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?

A particle executes SHM represented by the equation 10y=01sin50pit, where the displacement y is in metre and time t in second. Find the amplitude and frequency of the particle.

A particle oscillates with S.H.M. according to the equation x = 10 cos ( 2pit + (pi)/(4)) . Its acceleration at t = 1.5 s is

A particle executing SHM according to the equation x=5cos(2pit+(pi)/(4)) in SI units. The displacement and acceleration of the particle at t=1.5 s is

The distance covered by a particle executing S.H.M. in one complete oscillation is

A particle executes S.H.M., according to the displacement equation x = 6 sin (3pit+pi//6) m. Then the magnitude of its acceleration at t = 2 s is

A particle executes SHM according to equation x=10(cm)cos[2pit+(pi)/(2)] , where t is in seconds. The magnitude of the velocity of the particle at t=(1)/(6)s will be :-

Displacement time equation of a particle executing SHM is, x = 10 sin ((pi)/(3)t+(pi)/(6))cm . The distance covered by particle in 3s is

NIKITA PUBLICATION-OSCILLATIONS -MCQ
  1. An object is attched to the bottom of a light vertical spring and set ...

    Text Solution

    |

  2. Two particles A and B execute SHM on a straight line of path length 2 ...

    Text Solution

    |

  3. A particles executes SHM according to the equation y = 2 sin 2pit, whe...

    Text Solution

    |

  4. The ratio of the magnitude of maximum velocity to the maximum accelera...

    Text Solution

    |

  5. The maximum velocity of a particle executing SHM is v. If its amplitud...

    Text Solution

    |

  6. Two simple harmonic oscillators of masses m, 4m have same energy. If t...

    Text Solution

    |

  7. A particle executing SHM has a velocity of 2 ms^(-1) when its displac...

    Text Solution

    |

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

    Text Solution

    |

  9. The amplitude of particle performing S.H.M. is

    Text Solution

    |

  10. The phase quantity depends upon

    Text Solution

    |

  11. The particle performing S.H.M. with epoch alpha displacement of motion...

    Text Solution

    |

  12. In S.H.M.,

    Text Solution

    |

  13. The phase of a particle performing S.H.M. when the particle is at a di...

    Text Solution

    |

  14. The period of a body performing S.H.M. of frequency 5 Hz is

    Text Solution

    |

  15. A particle executing S.H.M. starts from midway between mean and extrem...

    Text Solution

    |

  16. The displacement of a particle performing S.H.M is x=A" "sin(omegat+pr...

    Text Solution

    |

  17. The vertical extension in a light spring by a weight of 1 kg suspended...

    Text Solution

    |

  18. A small spherical steel ball is placed a little away from the centre o...

    Text Solution

    |

  19. In S.H.M., the phase difference between the displacement and velocity ...

    Text Solution

    |

  20. Two particles executes S.H.M. of the same amplitude and frequency alon...

    Text Solution

    |