First slide

Superposition of waves

Question

If two waves of same frequency and same amplitude respectively, on superimposition produced a resultant disturbance of the same amplitude, the waves differ in phase by

Moderate

A

$π$
B

$2 π / 3$
C

$π / 2$
D

Zero

Solution

$A^{2} = a^{2} = a^{2} + a^{2} + 2 a^{2} cosθ \Rightarrow cosθ = - \frac{1}{2} \Rightarrow θ = \frac{2 π}{3}$

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