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A spherical ball of the radius R is made...

A spherical ball of the radius R is made by joining two hemispherical parts. The two parts have density `rho` and `2rho`. When placed in a water tank, the ball floats while remaining completely submered.
(a) If density of water is `rho_(0)`, find `rho`
(b) Find the time period of small angular oscillations of the ball about its equilibrium position. Neglect viscous forces.

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