Two harmonic waves moving in the same direction superimpose to form a wave x = a (1.5 t ) (50.5 t ) where t is in seconds. Find the period with which they beat (close to nearest integer)

Step-by-step solution

The given equation can be written as x = a 2 [1.5+50.5] t + a 2 [50.5-1.5] x= a 2 [52 t]+ a 2 [49 t] Here, 2 f ₁ & 2 f ₂=49 f ₁= 52 2 , f ₂= 49 2 f _ Bat = f ₁- f ₂= 3 2 ~Hz T _ Beat = 1 f _ Beat = 2 3 sec =2.09 sec 2 sec