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If a simple harmonic motion is represent...

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

A

`(2pi)/(alpha)`

B

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

C

`2pialpha`

D

`2pisqrt(alpha)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(d^(2)x)/(dt^(2)) + alphax = 0`
On comparing the above equation with the equation of SHM
`(d^(2)x)/(dt^(2)) + omega^(2)x = 0 rArr omega^(2) = a rArr omega =sqrt(alpha) rArr T = (2pi)/(sqrt(alpha))`
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