A piece of transparent material having an index of refraction n is cut into the shape of a wedge as shown in Figure P37.60. The angle of the wedge is small. Monochromatic light of wavelength A is normally incident from above, and viewed from above. Let h represent the height of the wedge and ℓ its width. Show that bright fringes occur at the positions x = Aℓ (m + ½) /2hn and dark fringes occur at the positions x = Aℓm/2hn, where m = 0, 1, 2, . . . and x is measured as shown.