Question: If two waves represented by $y_{1} = 4\sin\omega t$ and \(y_{2} = 3\sin\left( \omega t + \frac{\p...

Question

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

Answer 1

By using $A = \sqrt{a_{1}^{2} + a_{2}^{2} + 2a_{1}a_{2}\cos\varphi}$

⇒ $A = \sqrt{(4)^{2} + (3)^{2} + 2 \times 4 \times 3\cos\frac{\pi}{3}} = \sqrt{37} \approx 6$ .

Question: If two waves represented by \(y_{1} = 4\sin\omega t\) and \(y_{2} = 3\sin\left( \omega t + \frac{\p...