First slide

Young's double slit Experiment

Question

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

Moderate

A

7
B

6
C

5
D

3.5

Solution

$ϕ = π / 3, a_{1} = 4, a_{2} = 3$
$So, A = \sqrt{a_{1}^{2} + a_{2}^{2} + 2 a_{1} \cdot a_{2} cosϕ} \Rightarrow \sqrt{37} \Rightarrow A = 6$

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