Q4. A hydrogen atom is in the 4p state. To what state or states can it go by radiating a photon in an allowed transition?
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Q: a) Problem 8.3 of Textbook: Calculate the frequency of the hydrogen transition n 101 → n = %3D 100.
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Q: Consider a hydrogen atom that is initially in the 4p state. Determine the following: (a) the energy…
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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/2.3. Suppose an electron in a hydrogen atom is in a 2p state, and the radial wavefunction is (2a.)3/2 /3a. 2ao , where a, is the Bohr radius. (a) 2-axis? What possible angles might the angular momentum vector L make with the (b) What is the most probable radius (in terms of a,) at which the electron is found? (c) What is the expectation value of r in this state? Note: xe-"dx = 120. (p) S° x*e-dx = 23.91. What is the probability of finding such an electron between a, and oo? Note:2. Below are the energies of the first 6 energy levels in Lithium as well as the energies of 6 photons. How many of the photons can be created by an electron that transitions between the any two of the first 6 energy levels in Lithium? En (eV) n 1 2 3 4 5 6 -122.4 -30.6 -13.6 -7.65 -4.896 -3.4 Photon Energies (eV) 108.8 2.754 12.562 27.2 47.29 17.0
- If 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.4. An H-atom is in is state. a. What is the probability that the electron is found in sphere given by r ≤ ao b. What is (r) ? c. calculate ().
- 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?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 Hzan electron in a hydrogen atom is in a state with principal quantum number n = 3. a) what is the largest orbital angular momentum it can have? b) which values of the z - component of the angular momentum are allowed with this total momentum? (leave answers in units of h bar) c) the electron transitions to the n = 2 energy level, emitting a photon. what is that photon's length?