Maxwell-Boltzmann Distribution of Speeds a) Sketch n,/n as a function of v for the hydrogen atoms in Vega's atmosphere b) If one hydrogen atom is selected from the atmosphere at random, what is its most likely speed? Calculate it and indicate that speed on your sketch. c) Set up the integral that you would need to do to find the fraction of atoms having speeds between 20,000 m/s and 20,005 m/s. Illustrate the integral graphically on your sketch but do not attempt to find it. d) How might you approximate the fraction of hydrogen atoms in Vega's atmosphere having speeds between 20,000 m/s and 20,005 m/s without doing an integral? Write down the expression (which should not contain an integral). Indicate what you would use for v and Av but do not attempt to calculate an answer.

Maxwell-Boltzmann Distribution of Speeds a) Sketch n,/n as a function of v for the hydrogen atoms in Vega's atmosphere b) If one hydrogen atom is selected from the atmosphere at random, what is its most likely speed? Calculate it and indicate that speed on your sketch. c) Set up the integral that you would need to do to find the fraction of atoms having speeds between 20,000 m/s and 20,005 m/s. Illustrate the integral graphically on your sketch but do not attempt to find it. d) How might you approximate the fraction of hydrogen atoms in Vega's atmosphere having speeds between 20,000 m/s and 20,005 m/s without doing an integral? Write down the expression (which should not contain an integral). Indicate what you would use for v and Av but do not attempt to calculate an answer.