Q. If two waves represented by $y_{1} = 4\sin{\omega t}$ and $y_{2} = 3\sin\left( \omega t + \frac{\pi}{3} \right)$ interfere at a point, the amplitude of the resulting wave will be about

A) 7
B) 6
C) 5
D) 3.5
Explanation

(b) $\phi = \pi/3,a_{1} = 4,a_{2} = 3$
So, $A = \sqrt{a_{1}^{2} + a_{2}^{2} + 2a_{1}.a_{2}\cos\phi} \Rightarrow A = 6$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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

Want more practice?
Practice Wave Optics MCQs