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A system consists of two spring and a ...

A system consists of two spring and a mass m = 1 kg as shown in figure . If mass m is dispalced slightly along vertical and vertical and released. The system oscillates with a period of 2 s .Then , the spring canstant K is

A

`(pi^(2))/(4)`

B

`(pi^(2))/(6)`

C

`(pi^(2))/(8)`

D

`(pi^(2))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`T= 2 pi sqrt(((m)/(2k))) rArr k= (2pi^(2)m)/(T^(2))= (pi^(2))/(2)" "(thereforeT= 2s" "m = 1 kg)`
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