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Four massless springs whose force consta...

Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction.

A

`(1)/(2pi)sqrt(((11k)/(2m)))`

B

`(1)/(2pi)sqrt(((2k)/(3m)))`

C

`(1)/(2pi)sqrt(((3k)/(m)))`

D

`(1)/(2pi)sqrt(((4k)/(m)))`

Text Solution

Verified by Experts

The correct Answer is:
C
`k_(eq)=k+2k=3kRightarrowT=2pisqrt((m)/(3k))`
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