Home
Class 11
PHYSICS
If a simple harmonic motion is erpresent...

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

A

`(2pi)/sqrta`

B

`(2pi)/a`

C

`2pisqrta`

D

`2pia`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) `(d^(2)x)/(dt^(2)) =-axomega^(2)x`
`rArr omega=sqrta` or `T=2^(pi)/(omega)=2_(pi)/sqrta`.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MOTION

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs with one correct answer|1 Videos

  • UNITS & MEASUREMENTS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|58 Videos

Similar Questions

Explore conceptually related problems

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 :

A particle executes simple harmonic motion according to equation 4(d^(2)x)/(dt^(2))+320x=0 . Its time period of oscillation is :-

A sinple harmonic motion is represented by (d^2x)/(dt^2)+kx=0 , where k is a constant of the motion. Find its time period.

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

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

A particle is executing a linear S.H.M. and its differential equation is (d^(2)x)/(dt^(2))+ alpha x=0 . Its time period of motion is

Displacement 'x' of a simple harmonic oscillator varies with time, according to the differential equation (d^(2)x//dt^(2))+4x=0 . Then its time period is

The equation of a damped simple harmonic motion is 2m(d^(2)x)/(dt^(2))+2a_(0)(dx)/(dt)+kx=0 . Then the angualr frequency of oscillation is

A simple harmonic motion is represented by x=10sin(20t+0.5). Write down its amplitude, angular frequency, frequency, time period and initial phase if displacement is measured in metres and time seconds.

SUNIL BATRA (41 YEARS IITJEE PHYSICS)-SIMPLE HARMONIC MOTION-JEE Main And Advanced
  1. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

    Text Solution

    |

  2. The function sin^(2) (omegat) represents.

    Text Solution

    |

  3. The bob of a simple pendulum is a spherical hollow ball filled with wa...

    Text Solution

    |

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

    Text Solution

    |

  5. The maximum velocity a particle, executing simple harmonic motion with...

    Text Solution

    |

  6. Starting from the origin a body osillates simple harmonicall with a pe...

    Text Solution

    |

  7. Two springs, of force constants k(1) and commected to a mass (m) as sh...

    Text Solution

    |

  8. A particle of mass m executes simple harmonic motion with amplitude a ...

    Text Solution

    |

  9. The displacement of an obuect attached to a spring and executing simpl...

    Text Solution

    |

  10. A point mass oscillates along the x-axis according to the law x=x(0) c...

    Text Solution

    |

  11. If x, and a denote the displacement, the velocity and the acceler of a...

    Text Solution

    |

  12. Two particles are executing simple harmonic of the same amplitude (A) ...

    Text Solution

    |

  13. A mass (M), attached to a horizontal spring, executes S.H.M. whith amp...

    Text Solution

    |

  14. If a simple pendulum has significant amplitude (up to a factor of 1/e ...

    Text Solution

    |

  15. The amplitude of damped oscillator decreased to 0.9 times its origina...

    Text Solution

    |

  16. An ideal gas enclosed in a vertical cylindrical container supports a f...

    Text Solution

    |

  17. A particle moves with simple harmonic motion in a straight line. In fi...

    Text Solution

    |

  18. A pendulumd made of a uniform wire of cross sectional area (A) has tim...

    Text Solution

    |

  19. For a simple pendulum, a graph is plotted its kinetic energy (KE) and ...

    Text Solution

    |

  20. A particle performs simple harmonic mition with amplitude A. Its speed...

    Text Solution

    |