(a) Calculate the speed of an electron that is in the n = 1orbit of a hydrogen atom, and give your answer v as a fraction ofthe speed of light in empty space c, for example, v = 0.5 if theanswer were v = c/2 = 1.50 × 108 m/s. (It isn’t.)
(b) How many nanometers would be the wavelength of the photonemitted when the electron in a hydrogen atom jumps from the n = 3orbit to the n = 2 orbit? This is the Hα line, and its light isscarlet, the color of fresh human blood.
(c) How many nanometers would be the wavelength of the photonemitted when the electron in a hydrogen atom jumps from the n = 2orbit to the n = 1 orbit?
(d) How many nanometers would be the wavelength of a photon thatwould have the minimum amount of energy needed to ionize anyhydrogen atom? (Hint: Electromagnetic radiation with thiswavelength or shorter is called extreme ultraviolet radiation.
(e) How many electron-volts (eV) would the electron in part(7)(d) need to have?
