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 $



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