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Figure shows three systems in which a bl...

Figure shows three systems in which a block of mass m can execute S.H.M. What is ratio of frequency of oscillation?

A

`2 : 1 : 4`

B

`1 : 2 : 4`

C

`4 : 2 : 1`

D

`3 : 2 : 1`

Text Solution

Verified by Experts

The correct Answer is:
A
Case-I: `T=2pisqrt((m)/(k)) Rightarrow f-(1)=(1)/(2pi)sqrt((k)/(m)0`. Case-II:`k_(eq)=k//4 Rightarrow f_(2)=(1)/(2pi)sqrt((k)/(4m))1`
Case-III: `k_(eq)=4k Rightarrow f_(3)=(1)/(2pi)sqrt((4k)/(m)) Righarrow f_(1):f_(2):f_(3)=1:(1)/(2):2` i.e. 2:1:4:`
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