Find the Time period of oscillation (**in sec**) of an **infinite** pendulum, which is hovering just above the surface of the Earth.

**Note:** An **Infinite** Pendulum is a obviously **infinitely** long. The Hinge of the Pendulum is at **infinite** distance from the surface of the Earth.

Also, note that the **all** the mass of the pendulum is concentrated at the bottom of the pendulum, where the bob is situated (in other words, the mass is not uniformly distributed...Its more like a stone tied at the end of a massless string)

**Details and Assumptions:**

\(\bullet\) Assume that the oscillations are very small.

\(\bullet\) \(\displaystyle g_{surface} = 9.8m/s^2\)

\(\bullet\) \(\displaystyle R_{Earth} = 6400Km\)

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