wave_mechanics interference_and_superposition_of_waves Question 23

Question: The displacement of the interfering light waves are $ y _{1}=4\sin \omega t $ and $ y _{2}=3\sin ( \omega t+\frac{\pi }{2} ) $ . What is the amplitude of the resultant wave

[RPMT 1996; Orissa JEE 2005]

Options:

A) 5

B) 7

C) 1

D) 0

Show Answer

Answer:

Correct Answer: A

Solution:

Since $ \varphi =\frac{\pi }{2} $

Therefore $ A=\sqrt{a _{1}^{2}+a _{2}^{2}}=\sqrt{{{(4)}^{2}}+{{(3)}^{2}}}=5 $