First slide

Superposition of waves

Question

The superposition takes place between two waves of frequency f and amplitude a. The total intensity is directly proportional to

Moderate

A

a
B

2a
C

2a²
D

4a²

Solution

Resultant amplitude
$A = \sqrt{a^{2} + a^{2} + 2 aacosφ} = \sqrt{4 a^{2} \cos^{2} (\frac{φ}{2})}$
$∵ n = \frac{pv}{2 l} \Rightarrow I \propto 4 a^{2}$

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