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Two identical springs of spring constant...

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

A

`1:2`

B

`2:1`

C

`4:1`

D

`1:4`

Text Solution

Verified by Experts

The correct Answer is:
A
(a)`k_(s)=(kxxk)/(k+k)=(k)/(2)`
`k_(p)=k+k=2k`
`therefore (n_(s))/(n_(p))=((1)/(2pi)sqrt((k_(s))/(M)))/((1)/(2pi)sqrt((k_(p))/(M)))=sqrt((k_(s))/(k_(p)))=sqrt((k//2)/(2k))=(1)/(2)`
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