Two periodic waves of amplitudes A 1 and A 2 pass through a region. If A 1 A 2 , the difference in the maximum and minimum resultant amplitude possible is

Question

Two periodic waves of amplitudes A 1 and A 2 pass through a region. If A 1 > A 2 , the difference in the maximum and minimum resultant amplitude possible is

Philoid · Accepted Answer

We know that the resultant amplitude is given by

for the maximum resultant amplitude

for the minimum resultant amplitude

Hence, the difference between Amax and Amin is

Two periodic waves of amplitudes A1 and A2 pass through a region. If A1 > A2, the difference in the maximum and minimum resultant amplitude possible is

Two periodic waves of amplitudes A₁ and A₂ pass through a region. If A₁ > A₂, the difference in the maximum and minimum resultant amplitude possible is