Two identical travelling waves, moving in the same direction are out of phase by `pi//2` rad. What is the amplitude of the resultant wave in terms of the common amplitude `y_(m)` of the two combining waves?

Answer

`1.41 y_(m)`

Explanation

`A^(2) = A_(1^(2)) + A_(2^(2)) + 2A_(1)A_(2) cosDeltaphi`
`Delta phi = (pi)/(2), A_(1) = Y_(m) , A_(2) = Y_(m)`
`Y^(2) = Y^(2) = Y^(2_(m)) + Y^(2_(m)) + 2Y^(2_(m)) xx cos'(pi)/(2)`
`Y^(2) = Y_(m^(2)) + T_(m^(2)) [Y = sqrt(2)Y_(m) = 1.41 Y_(m)]`