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The equation of SHM of a particle is (d^...

The equation of SHM of a particle is `(d^2y)/(dt^2)+ky=0`, where k is a positive constant. The time period of motion is

A

`(2 pi)/(K)`

B

`2 pi K`

C

`(2 pi)/( sqrt(K))`

D

`2 pi sqrt(K)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(d^(2) y)/(dt^(2)) + Ky = 0 `
For SHM ` (d^(2) y)/( dt^(2)) + omega^(2) y = 0`
`:. omega = sqrt(K) and T = ( 2 pi)/( sqrt(K))`
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