4. The image below is taken from the concave diraction grating lab. It shows the peaks for the Balmercx transitions in hydrogen and deuterium. The deuterium line is shifted to shorter wavelength because of its heavier nucleus than hydrogen; this shift is called the \"isotope effect\" in spectroscopy. Each stairstep represents the output of one pixel in a linear array. The difference in wavelength going from one pixel to the next is found through a calibration and found to be 0.117 angstroms (A) per pixel. a. Count pixels (stairsteps) and determine the peak separation, and thereby, the wavelength diiference between the hydrogen and deuterium Balmera lines. b. In similar fashion, determine the fullwidth at halfmaximum of the individual lines. c. The hydrogen line is known to have a wavelength of 6563 A. Based on this calculate the line widths and line separations in wavenumber. d. If this pair of lines were examined by a Michelson interferometer, what would be the coherence length and thus the range of mirror positions over which you would see fringes? e. Likewise, what would be the expected fringecontrast node spacing? How many node positions could you measure before the fringes would disappear completely? Tek Run . Trig'd