Physics · Oscillations and Simple Harmonic Motion

Option B is correct because in a simple pendulum, the acceleration is directly proportional to the displacement from the equilibrium position. According to Hooke's law, the restoring force (and hence acceleration) is directly proportional to the displacement. This relationship holds as long as the angles are small, and the pendulum follows simple harmonic motion. 

This option is incorrect because acceleration in a simple pendulum is directly proportional to displacement, not inversely proportional. 

In SHM, acceleration is always directly proportional to the displacement. so, option B is correct.

This option is incorrect because acceleration in a simple pendulum can be both positive and negative, depending on the direction of displacement. 

This option is incorrect because the acceleration of a simple pendulum is dependent on the displacement from the equilibrium position; they are not independent of each other.