Home
Class 12
PHYSICS
For a particle performing SHM, equation ...

For a particle performing `SHM`, equation of motion is given as `(d^(2))/(dt^(2)) + 4x = 0`. Find the time period

A

`2pi`

B

`(1)/(3)pi`

C

`(2)/(3)pi`

D

`4 pi`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `(d^(2)x)/(dt^(2))=-9x`
Comparing with `(d^(2)x)/(dt^(2))=-omega^(2)x rArr = 9, omega = 3`
`therefore` Time period `= (2pi)/(omega)=(2pi)/(3)=(2)/(3)pi`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|29 Videos

  • OSCILLATIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 1|67 Videos

  • MOCK TEST 5

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQs|42 Videos

  • PRACTICE SET 01

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 1 (PHYSICS & CHEMISTRY)|50 Videos

Similar Questions

Explore conceptually related problems

Differential equation for a particle performing linear SHM is given by (d^(2)x)/(dt^(2))+3xx=0 , where x is the displacement of the particle. The frequency of oscillatory motion is

If a simple harmonic motion is represented by (d^(2)x)/(dt^(2)) + alphax = 0 , its time period is :

If a simple harmonic motion is represented by (d^(2)x)/(dt^(2)) + alphax = 0 , its time period is :

If a simple harmonic motion is erpresented by (d^(2)x)/(dt^(2))+ax=0 , its time period is.

Passage XI) The differential equation of a particle undergoing SHM is given by a(d^(2)x)/(dt^(2)) +bx = 0. The particle starts from the extreme position. The ratio of the maximum acceleration to the maximum velocity of the particle is

Passage XI) The differential equation of a particle undergoing SHM is given by a(d^(2)x)/(dt^(2)) +bx = 0. The particle starts from the extreme position. The time period of osciallation is given by

The differential equation of a particle performing a S.H.M. is (d^(2)x)/(dt^(2))+ 64x=0 . The period of oscillation of the particle is

The differential equation of a particle undergoing SHM is given by a a(d^(2)"x")/(dt^(2))+b"x"=0 ltbr.gt The particle starts from the extreme position The equation of motion may be given by :

The equation of a simple harmonic motion of a particle is (d^(2)x)/(dt^(2)) + 0.2 (dx)/(dt) + 36x = 0 . Its time period is approximately

The differential equation of a particle undergoing SHM is given by a a(d^(2)"x")/(dt^(2))+b"x"=0 . The particle starts from the extreme position. The ratio of the maximum acceleration to the maximum velocity of the particle is –

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-OSCILLATIONS-EXERCISE 2
  1. Find the time taken by the particle in going from x = (A)/2 to x=A ...

    Text Solution

    |

  2. A mass M attached to a horizontal spring executes SHM with an amplitud...

    Text Solution

    |

  3. A particle oscillates simple harmonically along a straight line with p...

    Text Solution

    |

  4. Two identical springs are connected to mass m as shown (k = spring con...

    Text Solution

    |

  5. The distance moved by a particle in simple harmonic motion in one time...

    Text Solution

    |

  6. Two pendulums have time period T and 5T/4. They starts SHM at the same...

    Text Solution

    |

  7. Maximum velocity ini SHM is v(m). The average velocity during motion f...

    Text Solution

    |

  8. A particle is acted simultaneously by mutally perpendicular simple har...

    Text Solution

    |

  9. The maximum velocity and maximum acceleration of a particle per for mi...

    Text Solution

    |

  10. A pendulum with time period of 1s is losing energy due to damping. At ...

    Text Solution

    |

  11. A weakly damped harmonic oscillator of frequency n1 is driven by an ex...

    Text Solution

    |

  12. The amplitude of a executing SHM is 4cm At the mean position the speed...

    Text Solution

    |

  13. The displacement of a particle is represented by the equation y=sin^(...

    Text Solution

    |

  14. For a particle performing SHM, equation of motion is given as (d^(2))/...

    Text Solution

    |

  15. For a particle executing SHM, x = displacement from mean position, v =...

    Text Solution

    |

  16. A particle is executing SHM. Then the graph of acceleration as a funct...

    Text Solution

    |

  17. The ratio of amplitudes of following SHM is x(1) = A sin omega t and x...

    Text Solution

    |

  18. A man measures time period of a pendulum (T) in stationary lift. If th...

    Text Solution

    |

  19. The oscillation of a body on a smooth horizontal surface is represente...

    Text Solution

    |

  20. The displacement of a linear simple harmonic oscillator is given by y ...

    Text Solution

    |