Question

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

• A. $\left(\frac{1}{2}\right)\left(\frac{4g}{3R}\right)$
• B. $\left(\frac{1}{2}\right)\left(\frac{3g}{2R}\right)$
• C. $\left(\frac{1}{2}\right)\left(\frac{2g}{3R}\right)$
• D. $\left(\frac{1}{2}\right)\left(\frac{7g}{3R}\right)$

Answer 1

The correct option is B $\left(\frac{1}{2}\right)\left(\frac{3g}{2R}\right)$