(a) Calculate the speed of an electron that is in the n = 1 orbit of...

(a) Calculate the speed of an electron that is in the n = 1 orbit of a hydrogen atom, and give your answer v as a fraction of the speed of light in empty space c, for example, v = 0.5 if the answer were v = c/2 = 1.50 × 108 m/s. (It isn’t.)

(b) How many nanometers would be the wavelength of the photon emitted when the electron in a hydrogen atom jumps from the n = 3 orbit to the n = 2 orbit? This is the Hα line, and its light is scarlet, the color of fresh human blood.

(c) How many nanometers would be the wavelength of the photon emitted when the electron in a hydrogen atom jumps from the n = 2 orbit to the n = 1 orbit?

(d) How many nanometers would be the wavelength of a photon that would have the minimum amount of energy needed to ionize any hydrogen atom? (Hint: Electromagnetic radiation with this wavelength or shorter is called extreme ultraviolet radiation.

(e) How many electron-volts (eV) would the electron in part (7)(d) need to have?

Expert Solution

genius_generous answered 2 years ago

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