Two identical springs each of force constant k are connected in parallel and they support a mass `mu`. Calculate the ratio of the frequency of oscillation of the mass in two systems.

Explanation

For paralle combination the effective force constant,
`k_(p)=k+k=2k`
`v_(p)=(1)/(2pi) sqrt((k_(p))/(m))`
`=(1)/(2pi) sqrt((2k)/(m)) " "...(2)`
`:.` Ratio of frequencies `=(v_(s))/(v_(p))= sqrt((k//2)/(2k))=(1)/(2)`