Optics Question 1033
Question: If two waves represented by $ y _{1}=4\sin \omega t $ and $ y _{2}=3\sin ( \omega t+\frac{\pi }{3} ) $ interfere at a point, the amplitude of the resulting wave will be about
[MP PMT 2000]
Options:
A) 7
B) 6
C) 5
D) 3.5
Show Answer
Answer:
Correct Answer: B
Solution:
$ \varphi =\pi /3,\ a _{1}=4,\ a _{2}=3 $ So, $ A=\sqrt{a _{1}^{2}+a _{2}^{2}+2a _{1}.a _{2}\cos \varphi }\Rightarrow A\approx 6 $
