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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

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The correct Answer is:
B
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Knowledge Check

  • 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
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  • 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
    `(pi)/(2) sec`
    B
    `(pi)/(4) sec`
    C
    `(pi)/(3) sec`
    D
    `(pi)/(6)sec`

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

    A
    `(2pi)/(5sqrt(3))s`
    B
    `(pi)/(3sqrt(2))s`
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