2. Consider the states of hydrogen atom given by (n, l, m) where n a. What is the maximum value of l? If L² is measured what is the maximum possible value that can be obtained? b. What is the maximum value of L₂?
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- 15 b. Suppose an electron is in a spin state given by x = A(). 8i Find i. the normalization constant A ii. (S.) iii. (S.) and iv. the probability that a measurement of S, will yield h/2.The Rydberg constant for a Hydrogen atom is R = 1.097 x 107 m-1. What is the ionisation energy of Hydrogen? Select one: a. 10.6 eV b. 5.7 eV c. 7.8 eV d. 13.6 eVIf the Bohr radius of the n = 3 state of a hydrogen atom is R, then the radius of the ground state is A. 9R. B. 3R. C.R/3. D. R/9. Answer is D, please explain and write clearly.
- An electron is excited from the n=1 ground state to the n=3 state in a hydrogen atom. Which of the following statements are true? Correct the false statements to make them true. (It may help to draw the Bohr model of the atom with the corresponding electron orbits.)a. It takes more energy to ionize (completely remove) the electron from n = 3 than from the ground state.b. The electron is farther from the nucleus on average in the n = 3 state than in the n = 1 state.c. The wavelength of light emitted if the electron drops from n = 3 to n = 2 will be shorter than the wavelength of light emitted if the electron falls from n = 3 to n = 1.d. The wavelength of light emitted when the electron returns to the ground state from n = 3 will be the same as the wavelength of light absorbed to go from n = 1 to n = 3.e. For n = 3, the electron is in the first excited state.Which of the following would be closer to the nucleus? a. The ground state (n = 1) of an electron in a singly-charged helium atom. That is, a helium atom with only one electron instead of two. b. Both of these are the same distance from the nucleus c. The ground state electron for the hydrogen.