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In figure S(1) andS(1) are identical spr...

In figure `S_(1)` and`S_(1)` are identical springs. The oscillation frequency of the mass `m` is `f`. if one spring is removed, the frequency will become

A

f

B

`2f`

C

`f sqrt(2)`

D

`f// sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Effective force constant `K_(eff) = 2K`.
When one spring is removed, `K_(eff)` becomes `K` neq frequnecy
`f = (1)/(2pi) sqrt((2k)/(a))`
`(f')/(f) = (1)/(sqrt(2)) rArr f' = (f)/(sqrt(2)`
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