A hot gas of sodium will create yellow light with wavelengths of 589.0 nm and 589.6 nm. These wavelengths are what give sodium lights their distinctive color, often seen in older street lights (see image to the right). The two wavelengths from sodium are put into the same Michelson interferometer. The mirror is moved, and a computer records that 1,965 dark fringes are seen for the 589.0 nm light. You move the mirror back to its original position. How many fewer dark fringes will you see for the 589.6 nm light, compared to what was recorded for the shorter wavelength light? Describe how you used physics principles in your answer, do not just list equations.