Find the Time Period of oscillations (in \(\displaystyle \text{sec}\)) for the arrangement as shown in the figure.

**Details and Assumptions:**

- The pulleys are smooth and massless.
- \(\displaystyle k_1 = 100 N/m\)
- \(\displaystyle k_2 = 200 N/m\)
- \(\displaystyle M = 4 kg\)
- \(\displaystyle g = 9.8 m/s^2\)

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