A solid sphere of radius `R` is floating in a liquid of density `sigma` with half of its volume submerged. If the sphere is slightly pushed and released , it starts axecuting simple harmonic motion. Find the frequency of these oscillations.

Explanation

To find the frequency of oscillations of a solid sphere floating in a liquid, we will follow these steps:

### Step 1: Understand the System
A solid sphere of radius \( R \) is floating in a liquid of density \( \sigma \) with half of its volume submerged. The volume of the sphere is given by:
\[ V = \frac{4}{3} \pi R^3 \]
Since half of the sphere is submerged, the submerged volume \( V_s \) is:
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