Equations of a stationary and a travelling waves are as follows, y₁=a k x t and y₂=a ( t-k x) . The phase difference between two points x₁= 3 k and x₂= 3 2 k are ₁ and ₂ respectively for two waves. The ratio ₁ ₂ is

Step-by-step solution

At x₁= 3 k and x₂= 3 2 k k x₁ or k x₂ is not zero. Therefore, neither of x₁ nor x₂ is a node. x=x₂-x₁= ( 3 2 - 1 3 ) k = x= 7 6 k Since, 2 k x k x 2 k= 2 Therefore, ₁= and aligned & ₂=k & x= 7 6k aligned Therefore, ₁ ₂ = 6 7