Q. Two SHMs are respectively represented by $y_{1} = a\ sin(\omega t - kx)$ and $y_{2} = b\cos{(\omega t - kx})$ The phase difference between the two is

A) $\pi/6$
B) $\pi/4$
C) $\pi/2$
D) $\pi$
Explanation

(c) $y_{1} = a\sin{(\omega t - kx)}$;
$y_{2} = b\cos\left( \omega t - \frac{k}{x} \right) = b\sin\left( \omega t - \frac{k}{x} + \pi/2 \right)$
$\therefore$ Phase difference$= \left( \omega t - \frac{k}{x} + \pi/2 \right) - (\omega t - kx)$
$= \pi/2$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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