## Question

Two springs of force constants *k*_{1} and *k*_{2} are connected to a mass *m*placed on a horizontal frictionless surface as shown in fig (a) and (b). What is the ratio of the time periods of horizontal oscillation in cases (a) and (b) if *k*_{1} = *k*_{2}?

### Solution

2

In case (a) the spring are connected in series. Therefore, the spring constant of the combination is given by

In case (b) the spring constant of the combination is

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