## Question

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

### Solution

1/2

In case (a), the spring are connected in parallel. Therefore,

In case (b), the springs are connected in series. Therefore,

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