Given blow are two statements: Statement I : The motion of a simple pendulum is simple harmonic only if ( a ). Statement II : The motion of a simple pendulum is simple harmonic for large angular displacement. In light of above statement choose the most appropriate answer from the options given below:

Step-by-step solution

- Statement I: The motion of a simple pendulum is simple harmonic only if the angular displacement ( ( )) is small ( (a )). This is correct because for small angular displacements, the restoring force is proportional to the displacement, which satisfies the condition for simple harmonic motion (SHM). As the angle increases, this approximation no longer holds, and the motion deviates from SHM. - Statement II: The motion of a simple pendulum is simple harmonic for large angular displacement. This is incorrect because