Consider a system of three connected strings, S₁, S₂ and S₃ with uniform linear mass densities kg / m , 4 ~kg / m and 16 ~kg / m , respectively, as shown in the figure. S₁ and S₂ are connected at the point P , whereas S₂ and S₃ are connected at the point Q , and the other end of S₃ is connected to a wall. A wave generator O is connected to the free end of S₁ . The wave from the generator is represented by y=y₀ ( t-k

Step-by-step solution

(A) y₁=y₀ ( t-k x) when wave going from Rarer to Denser, aligned & y_r=A_r ( t+k x+ ) & y_r=a₁ y₀ ( t+k x+ ) aligned option (A) correct (B) For transmitted from point P aligned & y _ t = A _ t [ t - k ₁ x ] & k ₁ k = ₁ = k ₁ k = 4 & k ₁=2 k & y _ t = a ₂ y ₀ [ t -2 kx ] aligned option (B) incorrect (C) when reflected from Q aligned & y_i=a₂ y₀ [ t-2 k x] & y_r=a₃ y₀ [ t+2 k x+ ] aligned option (C) incorrect (D) when transmitted from Q aligned & y_ t =a₄ y₀ [ t =k₂ x ] & k₂ 2 k = 16 4 k₂=4 k & y_ t =a₄ y₀ [ t -4 kx