Two identical sinusoidal waves each of amplitude 10 ~mm , with a phase difference of 90^ are travelling with the same direction in a string. The amplitude of the resultant wave is

Step-by-step solution

Given that, amplitudes of two waves are a₁=a₂=10 ~mm Phase difference, =90^ Let A be the resultant amplitude, then by using expression, A= a₁^2+a₂^2+2 a₁ a₂ Substituting the values, we get aligned A & = (10)^2+(10)^2+2(10)(10) 90^ & =10 2 ~mm aligned