3.a. By using the de Broglie relation, derive the Bohr condition mvr = nh. 3.b.Use this expression to show that the allowed electron energy states in Hydrogen atom can be written mk² e 2h? n? E, 3.c.Find the wavelength of photon that is emitted when the electron in a Hydrogen atom undergoes a transition from n=3 to n=1.
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- 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.
- An electron in an excited energy state of the Hydrogen atom has an energy En = 0.85 eV which is 12.75 eV above the ground state. What is the radius rn of the electron’s orbit? Select one: a. 4.77 angstroms b. 8.47 angstroms c. 13.23 angstroms d. 2.12 angstroms2. 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?An electron is in the n = 4 orbit of an hydrogen atom. It returns to the ground state with emission of light. The Rydberg constant is R = 1.097 x 107 m-1. What is the frequency of the light emitted? Select one: a. 2.74 x 1014 Hz b. 8.23 x 106 Hz c. 3.08 x 1015 Hz d. 10.28 x 106 Hz
- The Balmer series in hydrogen includes the Paschen series. has four lines in the ultraviolet. O includes both the Paschen series and the Lyman series. O has four lines in the visible. O includes the Lyman series.When an excited hydrogen atom returns to the ground state light of wavelength λ = 102.5 nm is emitted. The Rydberg constant is R = 1.097 x 107 m-1. What was the principle quantum number n of the excited state? Select one: a. 3 b. 2 c. 5 d. 4Which of the following principal levels contains / (angular momentum quantum number) = 3? A. n = 2 level B. both n = 3 and n = 4 levels C. n = 3 level D. n = 4 level How many orbitals are contained in the n = 3 principal number of a given atom? What is the value of the angular momentum quantum number of a d orbital?