Q. The equations of displacement of two waves are given as $y_{1} = 10\sin(3\pi t + \pi/3)$ $y_{2} = 5\left( \sin{3\pi t + \sqrt{3}\cos{3\pi t}} \right)$, then what is the ratio of their amplitude?

A) 1:2
B) 2:1
C) 1:1
D) None of these
Explanation

(c) Here, $a = 10,\ b = \sqrt{5^{2} + \left( 5\sqrt{3} \right)^{2}} = 10$
$\therefore\ \frac{a}{b} = \frac{10}{10} = 1:1$

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