Consider a simple pendulum undergoing simple harmonic motion with a time period $T$, and a fixed amplitude $\theta_0$ of angular oscillation. Its angular momentum about the point of suspension exhibits an oscillatory behavior with an amplitude $A$. Which of the following relations between $A$ and $T$ is correct?

• A

  $A \propto T^2$
• B

  $A \propto T$
• Correct answer
  C

  $A \propto T^3$
• D

  $A \propto T^4$

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