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

Answer

A

Explanation

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:`