Periodic time of oscillation `T_(1)` is obtained when a mass is suspended from a spring and if another spring is used with same mass then periodic time of oscillation is `T_(2)` . Now if this mass is suspended from series combination of above springs then calculated the time period.

Explanation

To solve the problem of finding the time period of oscillation when a mass is suspended from a series combination of two springs, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Time Period for a Single Spring**:
The time period \( T \) of a mass \( M \) suspended from a spring with spring constant \( K \) is given by the formula:
\[
T = 2\pi \sqrt{\frac{M}{K}}
...