Q. Two waves are represented by the equations $y_{1} = a\sin{\omega t}$ and $y_{2} = a\cos{\omega t}$. The first wave
A) Leads the second by $\pi$
B) Lags the second by $\pi$
C) Leads the second by $\frac{\pi}{2}$
D) Lags the second by $\frac{\pi}{2}$
Explanation
(d) $y_{1} = a\sin{\omega t},\ y_{2} = a\cos{\omega t} = a\sin\left( \omega t + \frac{\pi}{2} \right)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.