Question

Two springs, of force constants k₁ and k₂ are connected to a mass m as shown. The frequency of oscillation of the mass is f. If both k₁ and k₂ are made four times their original values, the frequency of oscillation becomes

(a) 2f 

(b) f/2

(c) f/4 

(d) 4f.

Answer 1

(a) : In the given figure two springs are connected in parallel. Therefore the effective spring constant is given by