Two beams of coherent light travel different paths, arriving at point p. if the maximum destructive interference is to occur at point p, what should be the path difference between the two waves? two beams of coherent light travel different paths, arriving at point p. if the maximum destructive interference is to occur at point p, what should be the path difference between the two waves? the path difference between the two waves should be one and one-quarter of a wavelengths. the path difference between the two waves should be four wavelengths. the path difference between the two waves should be one-half of a wavelength. the path difference between the two waves should be one-quarter of a wavelength. the path difference between the two waves should be two wavelengths. the path difference between the two waves should be one wavelength.