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. **Identify the Time Periods**:
- The time period of oscillation for the first spring is given by:
\[
T_1 = 2\pi \sqrt{\frac{m}{k_1}}
...