The frequency of oscillations of a mass m connected horizontally by a spring of spring constant k is 4 ~Hz . When the spring is replaced by two identical spring as shown in figure. Then the effective frequency is,

Step-by-step solution

If one spring is connected then frequency =4 ~Hz If two springs are connected in series, then frequency, v= 1 2 k^ m from eq ^ n (i) and (ii) aligned & 4 v = 1 2 k m / 1 2 k 2 m & 4 v = 2 or v=2 2 ~Hz aligned