Home
Class 11
PHYSICS
A particle having SHM has energy E=2pi^2...

A particle having SHM has energy `E=2pi^2x^2+8v^2`, x= displacement, v = velocity then what is the time period?

A

0.5 sec

B

2 sec

C

4 sec

D

`2sqrt2` sec

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|29 Videos

  • PROPERTIES OF BULK MATTER

    PATHFINDER|Exercise QUESTION BANK|353 Videos

Similar Questions

Explore conceptually related problems

For any particle maintaining SHM has its position X = 5 sin(4t-pi/6) ) x = displacement then find out the velocity at x = 3.

If the displacement and the acceleration of a particle executing SHM at any instant are x and a respectively, then the time period of that motion will be

A particle starts with the velocity u and moves in a straight line, its acceleration being always equal to its displacement. If v be the velocity when its displacement is x, then show that v^2= u^2+x^2 .

A particle starts with the veloctiy u and moves in a straight line, its acceleration being always equal to its displacement. If v be the velocity when its displacement is x, the show that v^(2)=u^(2)+x^(2) .

If the angular frequency of a particle executing SHM is omega and its maximum velocity is v_(m) , then show that the relation between its velocity v and acceleration a is a=-omegasqrt(v_(m)^(2)-v^(2)) .

PATHFINDER-OSCILLATION AND WAVES-QUESTION BANK
  1. If the equation x = asinomegat represents a SHM of a particle, then It...

    Text Solution

    |

  2. In a static lift time period of a simple pendulum is T=2pisqrt(l/g), N...

    Text Solution

    |

  3. A particle having SHM has energy E=2pi^2x^2+8v^2, x= displacement, v =...

    Text Solution

    |

  4. The time period of two simple pendulum are T and 5T/4 of they starts f...

    Text Solution

    |

  5. The time period of a particle having SHM is 4 s then what will be the ...

    Text Solution

    |

  6. A particle having SHM, when the displacement of particle is half of it...

    Text Solution

    |

  7. Acceleration of a particle having SHM is 0.12 ms^-2 when the particle...

    Text Solution

    |

  8. A pendulum is hanged from ceiling of a car. If the car has motion with...

    Text Solution

    |

  9. The amplitude and frequency of a particle having SHM are 0.01 m and 60...

    Text Solution

    |

  10. Time period of a simple pendulum having SHM is T. If the length of pen...

    Text Solution

    |

  11. Kinetic energy at equilibrium of the a particle having SHM is 16J. If ...

    Text Solution

    |

  12. A hollow sphere filled with water forms the bob of a simple pendulum. ...

    Text Solution

    |

  13. The total energy of a body performing SHM depends on

    Text Solution

    |

  14. A spring has a certain mass suspended from it and its period of vertic...

    Text Solution

    |

  15. Two simple pendulums having lengths 0.5 m and 2.0 m are displaced line...

    Text Solution

    |

  16. Two springs A and B (KA = 3KB) are stretched by the same suspended wei...

    Text Solution

    |

  17. A system exhibiting SHM must possess

    Text Solution

    |

  18. A particle having SHM having acceleration 64cm//s^2 when displacement ...

    Text Solution

    |

  19. If metal bob of a simple pendulum is replaced by a wooden bob, then it...

    Text Solution

    |

  20. The S.H.M. of a particle is given by the equation y=3sinomegat+4cosome...

    Text Solution

    |