AIIMS 2019 Physics Simple Harmonic Motion MCQ Question

The statement in the question is incorrect because it misrepresents the relationship between position $x$, amplitude $a$, and velocity $v$ in simple harmonic motion (SHM). While it is true that $v = \omega \sqrt{a^2 - x^2}$ indicates that the velocity is maximum when $x = 0$ and zero when $x = a$, the assertion that this fully describes the to-and-fro motion is misleading, as it does not account for the phase of motion or the nature of acceleration, which is also crucial in SHM. Option (A) is incorrect because the statement is not entirely true, while options (C) and (D) are irrelevant as they do not align with the factual inaccuracies presented.