Solve the following problem given below:
Problem: Coherent light that contains two wavelengths, 660nm and 470nm , passes through two narrow slits with a separation of 0.330mm and an interference pattern is observed on a screen which is a distance 4.60m from the slits.
Part I: What is the distance on the screen between the first-order bright fringes for each wavelength?
Please use as much detail as possible in your solution. Thanks.