The energies, E, for the first few states of an unknown element are given in the table in arbitrary units.7114COE-21-4-3...A gaseous sample of this element is bombarded by photons of various energies in these same units.Match each photon to the result of its absorption, or lack thereof, by an n = 1 electron.Answer BankPhotonEnergyResultn=I to n=221n=| to # =17n=1 ton=15clectian cjecled12TI absorbed

Rutherford's experiment was very crucial in deciphering the structure of the atom. He bombarded the…

Answered: The energies, E, for the first few…

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter10: Statistical Physics

Section: Chapter Questions

Problem 6P

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Consider the following four transitions in ahydrogen atom:(i) ni = 2, nf = 6 (ii) ni = 2, nf = 8(iii) ni = 7, nf = 8 (iv) ni = 6, nf = 2Find (a) the longest- and (b) the shortest-wavelength photon thatcan be emitted or absorbed by these transitions. Give the valueof the wavelength in each case. (c) For which of these transitionsdoes the atom lose energy? Explain.
A particle of ionizing radiation creates 4,600 ion pairs in the gas inside a Geiger tube as it passes through. What minimum energy (in J) was deposited, if 21.0 eV is required to create each ion pair? If all of this energy is converted to thermal energy in the gas, what is its temperature increase (in K), assuming 55.0 cm3 of ideal gas at 0.300 atm pressure? (The small answer is consistent with the fact that the energy is large on a quantum mechanical scale but small on a macroscopic scale. Assume the initial temperature of the gas is 293 K.)
What is the Doppler-broadened linewidth of the electronic transition at 821 nm in atomic hydrogen at 300 K?
How do the elements exhibit a range of band gaps?
What is the physical significance of hfg? Can it be obtained from a knowledge of hf and hg? How?
Explain the reason that metal atomic chains have quantized G, different from bulk metals by comparing with the Schematic illustration of a diffusive and ballistic conductor.
The energy difference between the two levels arising from the spin-orbit coupling in a d-orbital is 0.6463 eV. Consider the splitting for one electron. Calculate the spin-orbit coupling constant in cm-1. please show all calculations. What atom could that be? (Hint: calculate the spin-orbit coupling constant in Ry and look for a matching number in the last column that provides experimental values) constant : 1 eV = 1.60217646 × 10-19 J 1Ry = 2.1798741 × 10-18 J
True or false? (a) The photon emitted in an n = 3 to n = 2 transition in the H atom has a lowerfrequency than the photon for an n = 2 to n = 1 H-atom transition. (b) The groundstate energy ofHe is about 4 times the ground-state energy of H. (c) yis zero at the nucleus for all H-atomstationary states. (d) For the ground state of the H atom, y2 is a maximum at the nucleus. (e) Themost probable value of the electron–nucleus distance in a ground-state H atom is zero. ( f ) Thesmallest allowed value of the atomic quantum number n is 0. (g) For H atom stationary stateswith l = 0, yis independent of qand f. (h) For the H-atom ground state, the electron is confinedto move on the surface of a sphere centered around the nucleus. (i) For the H-atom ground state, the electron is confined to move within a sphere of fixed radius.
Calculate (a) the thermal wavelength, (b) the translational partition function of an Ar atom in a cubic box of side 1.00 cm at (i) 300 K and (ii) 3000 K.
(b) Calculate the half width in nanometers for Doppler broadening of the 4s S 4p transition for atomic nickel at 361.939 nm (3619.39 Å) at a temperature of 20,000 K in both wavelength and frequency units. (e) Calculate the speed that an iron atom undergoing the 4s S 4p transition at 385.9911 nm (3859.911 Å) would have if the resulting line appeared at the rest wavelength for the same transition in nickel. (f) Compute the fraction of a sample of iron atoms at 10,000 K that would have the velocity calculatedin (e). (g) Create a spreadsheet to calculate the Doppler half width DlD in nanometers for the nickel and iron lines cited in (b) and (e) from 3000–10,000 K. (h) Consult the paper by Gornushkin et al. (note 10) and list the four sources of pressure broadening that they describe. Explain in detail how two of these sources originate in sample atoms.
Consider the electron of a Li2+ ion that undergoes a transition from a higher energy state n to its adjacent lower energy state n – 1 (e.g. n = 2→1, 3→2, 4→3, etc) and emits a photon. Suppose the emitted photon is used to strike the surface of potassium, which has a threshold frequency of 5.464 × 10^14 s–1.a) Whatisthemaximuminitialquantumnumber,n, that is required in order to emit a photon with high enough energy to generate a photocurrent from the metal surface?b) Usingthenvaluesolvedinpart(a), calculate the maximum speed of the photoelectron from potassium. If you couldn’t solve for n in part (a), use n = 3.
Consider the following three transitions in a hydrogen atom:(A) ni = 5, nf = 2; (B) ni = 7, nf = 2; (C) ni = 7, nf = 6. Rank thetransitions in order of increasing (a) wavelength and (b) frequencyof the emitted photon. Indicate ties where appropriate.

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