A man sits on the inner side of a hollow sphere and measures the seconds as they pass. Find the time (in \(\si{\second}\)) he measures during one oscillation of the pendulum.

**Details and Assumptions**

- Length of string is \(l=1 \text{ m}\)
- Radius of sphere is \(R=1 \text{ m}\)
- String is attached at point \(P\) and man sits diametrically opposite to this point.
- Masses of both man and sphere are same.
The man doesn't slip on the sphere ie., he sits at the same point on the sphere.

Assume the figure at the bottom of the sphere to be the man.

The oscillations take place in uniform gravitational field where \(g = 9.81 \) SI units.

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