First slide

Coherent sources and their importance in interference

Question

If two waves represented by $y_{1} = 4 \sin ωt$ and $y_{2} = 3 \sin (ωt + \frac{π}{3})$ interfere at a point, the amplitude of the resulting wave will be about

Easy

A

7
B

6
C

5
D

3.5

Solution

$ϕ = \frac{π}{3}, a_{1} = 4, a_{2} = 3 So, A = \sqrt{a_{1}^{2} + a_{2}^{2} + 2 a_{1} a_{2} \cos ϕ} \Rightarrow A \approx 6$

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