Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For a particle executing simple harmonic motion, the phase difference between its displacement and acceleration is always radians. Reason (R): In simple harmonic motion, the acceleration is always directly proportional to the negative of the displacement. In the light of the above statements, choos

Step-by-step solution

Assertion (A) is correct: In simple harmonic motion (SHM), if displacement is x = A ( t) , then velocity is v = A ( t) and acceleration is a = -A ^2 ( t) = A ^2 ( t + ) . The phase difference between displacement and acceleration is exactly radians. Reason (R) is correct: The defining condition for a particle to execute SHM is that its acceleration is directly proportional to the negative of its displacement, i.e., a = - ^2 x . Reason (R) is the correct explanation for Assertion (A): The negative sign in the relati