The lyman alpha spectral line of hydrogen ( 122 nanometers) differs by 1.8 x 10meter in spectra taken at the edge of the sun's equator relative to spectra taken at the middle. a) we expect the relative speeds of the two sides of the sun to be much smaller than c. find the expression for the fractional doppler shift in wavelength to lowest order in v/c. b) show that the size of the earth's orbit is given by orbit142 λθπ where psun is the sun's rotational period and θ is the angular diameter of the sun viewed from earth. determine the speed of a particle on the equator due to the sun's rotation, in kilometers per second. c) he sun's rotation period is known to be psun 24 days, and it subtends 05 degrees on the sky. determine the radius of earth's orbit