Home
Class 12
PHYSICS
If a simple harmonic motion is represent...

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

A

`(2pi)/(alpha)`

B

`(2pi)/(sqrt(alpha))`

C

`2pialpha`

D

`2pi sqrt(alpha)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -4 (Leve-II)|8 Videos
  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -4 (Leve-II) [ JEE 2011]|11 Videos
  • SIMPLE HARONIC MOTION

    MOTION|Exercise EXERCISE -3 (Leve-II) ( SECTION -H ) ( Combination of two or more SHM)|1 Videos
  • SIMPLE HARMONIC MOTION

    MOTION|Exercise EXERCISE -3 Section - B Previous Year Problems | JEE MAIN|23 Videos
  • SOUND WAVES

    MOTION|Exercise Exercise - 3 (Section - B)|14 Videos

Similar Questions

Explore conceptually related problems

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

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

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.

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

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

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

A simple harmonic motion is represented by x = 12 sin (10 t + 0.6) Find out the maximum acceleration, if displacement is measured in metres and time in seconds.

A simple harmonic motion is represented by : y=59sin3pit+sqrt(3)cos3pit)cm The amplitude and time period of the motion by :

If the displacement (x) and velocity (v) of a particle executing simple harmonic motion are related through the expression 4v^2=25-x^2 , then its time period is given by

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

MOTION-SIMPLE HARONIC MOTION -EXERCISE -4 (Leve-I)
  1. If a simple harmonic motion is represented by (d^(2)x)/(dt^(2)) + alph...

    Text Solution

    |

  2. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The displacement of an object attached to a spring and executing a sim...

    Text Solution

    |

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

    Text Solution

    |

  9. Two springs of force constants k(1) and k(2), are connected to a mass ...

    Text Solution

    |

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

    Text Solution

    |

  11. If x, v and a denote the displacement, the velocity and the accelerati...

    Text Solution

    |

  12. A mass M, attached to a horizontal spring, excutes SHM with a amplitud...

    Text Solution

    |

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

    Text Solution

    |

  14. If a spring of stiffness 'k' is cut into two parts 'A' and 'B' of leng...

    Text Solution

    |

  15. A wooden cube (density of wood 'd') of side 'l' flotes in a liquid of ...

    Text Solution

    |

  16. This question has statement 1 and statement 2 . Of the four choice giv...

    Text Solution

    |

  17. If a simple pendulum has significant amplitude (up to a factor of (1)/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |