Physics · JEE | OSCILLATIONS

Given below are two statements: Statement I: The restoring torque for a simple pendulum of length \( L \) swinging through an angle \( \theta \) is given by \( \tau = -L(mg\sin\theta) \). Statement II: For large angular displacements up to \( 90^\circ \), the motion of a simple pendulum is strictly simple harmonic because \( \sin\theta \approx \theta \) holds true accurately. In the light of the above statements, choose the most appropriate answer from the options given below:

1. A
   Both Statement I and Statement II are correct.
2. B
   Both Statement I and Statement II are incorrect.
3. C
   Statement I is correct but Statement II is incorrect.
4. D
   Statement I is incorrect but Statement II is correct.