The path difference between two waves, represented by y ₁= a ₁ ( t - 2 x ) and y ₂= a ₂ ( t - 2 x + ) is

Step-by-step solution

aligned & y ₁= a ₁ ( t - 2 x ) & y ₂= a ₂ ( t - 2 x + ) aligned y ₂ can also be written as aligned y ₂ & = a ₂ [ 2 + ( t - 2 x + ) ] & = a ₂ ( t - 2 x + + 2 ) aligned The phase difference between the two waves is Path difference = 2 Phase difference Path difference = 2 ( + 2 )