Question

The phase difference between displacement and acceleration of a particle executing simple harmonic motion is:

• A. $\frac{\pi }{2}rad$
• B. $\pi$ rad
• C. $\frac{3\pi }{2}$rad
• D. 2$\pi$ rad

Answer 1

The correct option is B $\pi$ rad

Let $X=Asin\left(\omega t\right)$
so, $a=-A{\omega }^{2}sin\left(\omega t\right)=A{\omega }^{2}sin(\pi +\omega t)$
so, clearly phase difference is $\pi$