A diffraction grating has 593 lines (rulings) per mm. When white light shines on the grating, all wavelengths experience constructive interference at the centre of the diffraction pattern, so the central maximum (m = 0) is white. However, the higher order maxima (side fringes) occur at different angles for different wavelengths, so the colours are dispersed. How many complete orders of the visible spectrum will be produced in the diffraction pattern? Assume that the range if visible wavelengths is 400-700 nm.
Your answer should be an integer.
Please show the process