Periodic time of oscillation `T_1` is obtained when a mass is suspended from a spring 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 spring then calculate the time period.
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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 1: Understand the relationship between time period and spring constant
The time period \( T \) of a mass \( m \) suspended from a spring with spring constant \( K \) is given by the formula:
\[
T = 2\pi \sqrt{\frac{m}{K}}
\]
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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.
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