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Four spring connect with mass as shown i...

Four spring connect with mass as shown in figure. Find frequency of S.H.M.

A

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

B

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

C

`(1)/(2pi) sqrt((k)/(7M))`

D

`(1)/(2pi) sqrt((7K)/(M))`

Text Solution

Verified by Experts

The correct Answer is:
B

These two connected in series. So
`K'=(k_(1)k_(2))/(k_(1)+k_(2))=k`
Now all are in parallel so `k_(eq)=4k`
so freq. `=(1)/(2pi) sqrt((4k)/(M))`
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