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Question: Answered & Verified by Expert
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
PhysicsWave OpticsJEE Main
Options:
  • A $7$
  • B $6$
  • C $5$
  • D $3.5$
Solution:
2148 Upvotes Verified Answer
The correct answer is: $6$
$\phi=\pi / 3, a_1=4, a_2=3$
So, $A=\sqrt{a_1^2+a_2^2+2 a_1 \cdot a_2 \cos \phi} \Rightarrow A \approx 6$

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