Sound WavesHard

Question

Two identical springs of springs constant k are comected in series and parallel as shown in figure Amass M is suspended from them. The ratio of their frequencies of vertical oscillation will be:
             

Options

A.1 : 2
B.2 : 1
C.4 : 1
D.1 : 4

Solution

We know that
T = 2π ⇒ n =
for a spring mass system.In case Iif Kis the resultant spring constant,then

Incase II,K = k + k = 2k
If n1 & n2 be frequencies in two case, then
n1 = n2 =
⇒   =

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