Step 1 :A double slit interference experiment is conducted using two sources of light that both produce the same frequency of light, but are completely out of phase with each other.
Step 2 :The pattern on the screen is determined by the constructive and destructive interference of the light waves from the two sources.
Step 3 :If the two sources are completely out of phase with each other, it means that when one source is at its peak, the other is at its trough.
Step 4 :This would result in destructive interference, where the waves cancel each other out.
Step 5 :Therefore, the pattern on the screen would be reversed, with the maxima becoming minima and vice versa.
Step 6 :\(\boxed{\text{The pattern of maxima and minima will be reversed.}}\)