Consider a solid sphere of radius $R$ floating in a pond with half of the sphere submerged. The sphere is pushed vertically downwards at the topmost point and released, such that it executes a simple harmonic motion. Acceleration due to gravity is $g$. What is the time period of oscillation?

• A

  $2 \pi \sqrt{\frac{2 R}{g}}$
• B

  $2 \pi \sqrt{\frac{3 R}{2 g}}$
• Correct answer
  C

  $2 \pi \sqrt{\frac{2 R}{3 g}}$
• D

  $2 \pi \sqrt{\frac{R}{g}}$

Hence, the correct answer is option: 'C'.