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Infinite springs with force constants k,...

Infinite springs with force constants `k, 2k, 4k, 8k,…..` respectively are connected in series to which mass 'm' is attched. The frequency of small oscillations is……..

A

`f = (1)/(2pi) sqrt((2K)/(m))`

B

`f = (1)/(2pi) sqrt((K)/(m))`

C

`f = (1)/(2pi)sqrt((K)/(2m))`

D

`f = (1)/(2pi)sqrt((2048K)/(m))`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(k_(eff)) = (1)/(k) +(1)/(2k) +(1)/(4k)+(1)/(8k)+……, f = (1)/(2pi) sqrt((K_(eff))/(m))`
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