A hydrogen atom is excited from its ground state to the n = 4 state. The atom subsequently emits three photons, one of which has a wavelength of 122 nm. Part A What are the wavelengths of the other two photons? Express your answers in nanometers. Enter your answers in ascending order separated by a comma. 195] ΑΣΦ ? A2, A3= 43,8 Submit Previoue Anewere Request Answer nm
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- Part A The nucleus of a typical atom is 5.0 fm ( 1 fm 10-15 m) in diameter. A very simple model of the nucleus is a one-dimensional box in which protons are confined. Estimate the energy of a proton in the nucleus by finding the first three allowed energies of a proton in a 5.0 fm long box. Express your answer using two significant figures. ΜΕ ΑΣΦ E₁ = Submit Request Answer Part B Express your answer using two significant figures. VAΣd ΜΕ ΑΣΦ E2 = Submit Request Answer Part C Express your answer using two significant figures. Η ΜΕ ΑΣΦ E3 = Submit Request Answer Provide Feedback ? ? ? J J JHand written solutionand images are strictly prohibited..An electron confined to a one-dimensional box of length 0.70 nm jumps from the n = 2 level to the ground state. Part A What is the wavelength (in nm) of the emitted photon? Express your answer to two significant figures and include the appropriate units. ΜΑ ? A = Value Units Submit Request Answer Provide Feedback
- Learning Goal: To understand the Bohr model of the hydrogen atom. In 1913 Niels Bohr formulated a method of calculating the different energy levels of the hydrogen atom. He did this by combining both classical and quantum ideas. In this problem, we go through the steps needed to understand the Bohr model of the atom. Part A Consider an electron with charge -e and mass m orbiting in a circle around a hydrogen nucleus (a single proton) with charge +e. In the classical model, the electron orbits around the nucleus, being held in orbit by the electromagnetic interaction between itself and the protons in the nucleus, much like planets orbit around the sun, being held in orbit by their gravitational interaction. When the electron is in a circular orbit, it must meet the condition for circular motion: The magnitude of the net force toward the center, F, is equal to mv²/r. Given these two pieces of information, deduce the velocity of the electron as it orbits around the nucleus. Express your…The uncertainty in position of a proton confined to the nucleus of an atom is roughly the diameter of the nucleus. Part A If this diameter is 5.6×10-15 m, what is the uncertainty in the proton's momentum? Express your answer using two significant figures. 15. ΑΣΦ Ap> Submit Provide Feedback Request Answer B m ? kg-m/sPart A Applying the Bohr model to a triply ionized beryllium atom (Be³+, Z = 4), find the shortest wavelength of the Lyman series for Be³+. Express your answer using four significant figures. ΠΫΠΙ ΑΣΦ λ = Submit Request Answer Part B |AE| = Applying the Bohr model to a triply ionized beryllium atom (Be³+, Z = 4), find the ionization energy required to remove the final electron in Be³+. Express your answer using three significant figures. 5 ΑΣΦ Submit ? Request Answer nm ? eV
- Please help me with a,b,c questions please, well explained and detailed.Please explain and give the correct answerQuestion 14 a) A narrow beam of white light is passed through a clear glass vessel containing cool hydrogen gas at a low pressure. A prism is used to disperse the light leaving the vessel. This results in a white light spectrum, crossed by a series of dark lines. Explain the origin of these dark lines and name the type of spectrum that is produced. b) Some of the atomic energy levels of hydrogen are shown in the diagram below. i. ii. iii. Energy/eV 0 -0.85 -1.51 -3.39 -13.58 n = 4 n = 3 n = 2 n = 1 Determine the ionization energy of hydrogen and express this in joules. Determine the wavelength of the light emitted when an electron falls from the n = 3 level to the n = 1 energy level. A photon of energy 10.19 eV is in collision with a hydrogen atom. What would happen to this photon?
- Question B3 One of the possible states of the electron in the Hydrogen atom is given by 1 r (r, 0, 0) = e -r/(200) sin eo, 3/2 where a is the Bohr radius. For this wavefunction, answer the following questions: a) Using the operator for the z-component of angular momentum ₁₂ = -ihǝ/ǝo, determine the value of the quantum number m₁. [4 marks] b) Using the total angular momentum operator, given below, determine the value of the quan- tum number 1. a β = -h² 1 მ sinᎾ [sin € 30 (sin 600) + 1098] sin2 c) d) [8 marks] Explain how you could have identified / and my by direct inspection of the wavefunction, and use the direct inspection method to identify the value of the quantum number n. The operator for the y-component of angular momentum is given by Ly = ih ih (-cos - მ a +cot sin o მი (i) Calculate, and show that it is not a function of o. (ii) Show that the expectation value of I, vanishes, i.e. (L) = 0. [Hint: the volume element in this case is given by dV = 2 sin 0 dr de do.] [6 marks]…1. [-/2 Points] DETAILS SERPSE10 41.3.OP.004. MY NOTES (a) A hydrogen atom is initially in the ground state. How much energy (in ev) is required to lonize it? ev (b) A hydrogen atom is initially in its third excited state (that is, its n = 4 state). How much energy (in ev) is required to ionize it? ev Submit Answercan you solve C please