Two sound waves having displacements x ₁=2 (1000 t ) and x ₂=3 (1006 t ) , when interfere, produce

Step-by-step solution

Given, aligned & X ₁=2 (1000 t ) & X ₂=3 (1006 t ) aligned Comparing with standard equation, x = A t aligned & ₁=1000 , ₂=1006 ...(i) & ~A ₁=2, ~A ₂=3 ...(ii) & f ₁= ₁ 2 = 1000 2 =500 ~Hz ...[From(i)] & f ₂= ₂ 2 = 1006 2 =503 ~Hz ...[From(ii)] aligned Beat frequency =503-500=3 beats/second Intensity A _ max ^2 A _ = A ₁+ A ₂=2+3=5 units ...[From(ii)] Intensity =(5)^2=25 units