First slide

Superposition of waves

Question

The displacement of the interfering light waves are $y_{1} = 4 sinω t$ and $y_{2} = 3 \sin (ω t + \frac{π}{2})$ . What is the amplitude of the resultant wave

Moderate

A

5
B

7
C

1
D

0

Solution

Since $φ = \frac{π}{2} \Rightarrow A = \sqrt{a_{1}^{2} + a_{2}^{2}} = \sqrt{{(4)}^{2} + {(3)}^{2}} = 5$

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