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A 5 kg collar is attached to a spring of...

A 5 kg collar is attached to a spring of spring constant 500 N `m^(-1)`. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10 cm and released. The time period of oscillation is

A

`(pi)/(5)s`

B

`(pi)/(2)s`

C

`pis`

D

`2pis`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, m=5kg, k=500 N `m^(-1)`, A=10cm=0.1m time period of oscillation is
`T=2pisqrt((m)/(k))=2pisqrt((5kg)/(500N" "m^(-1)))=(2pi)/(10)s=(pi)/(5)s`
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