Question

If two waves of same frequency and same amplitude, on superposition, produce a resultant disturbance of the same amplitude, the wave differ in phase by
(a) π
(b) $\frac{2\pi}{3}$
(c) Zero
(d) $\frac{\pi}{3}$

Answer 1

c is the wrong answer the correct answer is b

Answer 2

Answer:

B) 2π/3

Explanation:

Frequency of waves = f = constant (Given)

Amplitude of waves = a = constant (Given)

Since the resultant disturbance is produced due to superposition, thus

Resultant amplitude = A² = a²+a²+a²+2a²cosФ = - 1/2

= Ф = 2π/3

This states that two waves should superimpose such that phase difference is 2π/3

Thus, the wave will differ in the phase by 2π/3