homework。 。。。homework. Need calculation steps. Unit. Formula 1. a) An excited Hydrogen atom (which is not moving) can emit cyan (blue-green) colored light with a wavelength of 4.86 x 10-9m. Suppose that the atom is in a star which is moving away at a speed of 0.03 c. You measure the wavelength of the same hydrogen “line” which will now be Doppler-shifted. What is this new wavelength? b) Given that blue light has wavelengths between 450 x 10-9m and 500 x 10-9m and red light has wavelengths between 610 x 10-9m and approximately 700 x 10-9m has the Hydrogen line from the receding star been shifted toward the blue or towards the red? 2. As the universe expands a galaxy which is at a distance of 5.0 x 106 pc is moving away from you. What is the velocity of the galaxy relative to you? [You are given that Hubbles Constant is H = 73(km/s) / (106 pc). Note — you do not need to know the value of a pc(parsec) to solve the problem because pc will cancel out if you do it right.] 3. a) The distance to Alpha Centauri (the nearest large star to Earth) is 4.37 Ly (Light Years). What is the distance in miles (given that one Ly = 5.88 x 1012 miles?) b) Present rocket ship speeds are roughly 100000 miles per hour which is the same as 8.766 x 108 miles per year. At this speed and using the distance you calculated in (a) how many years would it take to travel to Alpha Centauri? c) Do you want to come along on the trip or would you rather stay home?