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A weightless spring of length 60 cm and ...

A weightless spring of length 60 cm and force constant 200 N/m is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of 0.25 kg is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is

A

`(pi)/(20)s`

B

`(pi)/(10)s`

C

`(pi)/(5)s`

D

`(pi)/(sqrt(200))s`

Text Solution

Verified by Experts

The correct Answer is:
A
`k_(eq)=k_(1)+k_(2)=400`
`T=2pisqrt((m)/(k_(eq)))=2pisqrt((0.25)/(400))=(pi)/(20)`s.
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