Two waves are represented as y₁ = a₁ ( t - 2 x ) and y₂ = a₂ ( t - 2 x + 6 ) The path difference between two waves is

Step-by-step solution

The given equations of the waves are: y₁ = a₁ ( t - 2 x ) y₂ = a₂ ( t - 2 x + 6 ) To find the phase difference, we express y₂ in terms of the sine function: y₂ = a₂ ( t - 2 x + 6 + 2 ) y₂ = a₂ ( t - 2 x + 2 3 ) The phase difference between the two waves is: = 2 3 The relation between path difference x and phase difference is given by: x = 2 Substituting the value of : x = 2 2 3 = 3 Answer: 3