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Two identical spring of constant K are c...

Two identical spring of constant K are connected in series and parallel as shown in figure. A mass is suspended from them. The ratio of their frequencies of vertical oscillations will be

A

`2:1`

B

`1:1`

C

`1:2`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
A
(A) `K_(eq)=(k k)/(2k)=(k)/(2)`
`T_(1)=2pisqrt((m)/(k//2)) implies (1)/(f_(1))=2pisqrt((k)/(2m))`
(B) `K_(eq)=2k`
`T_(2)=2pisqrt((m)/(2k))implies (1)/(f_(2)) =2pisqrt((2k)/(m))`
`(f_(1))/(f_(2))=(2)/(1)`.
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