Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 35, Problem 53P
To determine
The number of visible lines in the spectrum emitted by the ensemble of square-well system.
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A sodium atom in one of the states labeled “Lowest excited levels” in Fig. remains in that state, on average, for 1.6 * 10-8 s before it makes a transition to the ground state, emitting a photon with wavelength 589.0 nm and energy 2.105 eV. What is the uncertainty in energy of that excited state? What is the wavelength spread of the corresponding spectral line?
The smallest observed frequency for a transition
between states of an electron in a one-dimensional box is
3.0 X 10¹3 s¹. What is the length of the box?
The electrons within the T-system of conjugated hydrocarbons may be treated as particles confined within
a one-dimensional box. The lowest energy transition in the spectrum of a polyene hydrocarbon
corresponds to excitation of an electron from the highest occupied energy level to the lowest unoccupied
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estimate the effective length of the TT-system. The estimated length =
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Hint: you will need to fill the energy diagram to know which energy levels are involved in the transition.
me = 9.110 x 1031 kg
(Enter in e-notation, e.g. 1.23e-4, tolerance ±5%)
Chapter 35 Solutions
Essential University Physics (3rd Edition)
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 10FTDCh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 25ECh. 35 - Prob. 26ECh. 35 - Prob. 27ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PPCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PP
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- An electron is in an infinite square well of width 2.0 nm. What is the wavelength of the emitted photon in nanometers as the electron transitions from the n=8 to the n=4 state? (h = 6.626 × 10-34 J ∙ s, mel = 9.11 × 10-31 kg, 1 eV = 1.60 × 10-19J). Please give your answer with no decimal places.arrow_forwardAn electron in a rigid box is in the ground state. The system absorbs a 137.8 nm photon putting the electron in the n = 2 state. What is the width of the box? Hint: assume this an infinite well.arrow_forwardAn electron was trapped in a square well 1.43 [nm] across and 6E₁-w high. If the electron transitioned from the second excited state to the first excited state, what is the wavelength of the photon emitted? Note that for U₁ = 6E₁-IDW State (n) 1 2 3 Finite Square Well 0.625E1-IDW 2.43E1-IDW 5.09 E1-IDWarrow_forward
- A photon passes through a horizontal slit of width 5 × 10-6 m. What uncertainty in the vertical position will this photon have as it emerges from the slit? What is the minimum uncertainty in the vertical momentum?arrow_forwardInitially, electrons are only in the ground state (n=1). A beam of red light hits the gas. This beam is a continuous spectrum of red light (from 620 nm to 750 nm) How many absorption line/s will there be in the spectra?arrow_forwardAn electron confined to a box has the ground state energy of 2.5 eV. What is the width of the box?arrow_forward
- An electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b) How much energy is needed to excite the electron to its first excited state? (c) If the electron makes a transition from an excited state to the ground state with the simultaneous emission of 30.0-eV photon, find the quantum number of the excited state?arrow_forwardThe ion Li2+ makes ail atomic transition from ail n = 4 state to ail n = 2 state, (a) What is the energy of the photon emitted during the transition? (b) What is the wavelength of the photon?arrow_forwardMeasurements indicate that an atom remains in an excited state for an average time of 50.0 ns before making a transition to the ground state with the simultaneous emission of a 2.1-eV photon. (a) Estimate the uncertainty in the frequency of the photon. (b) What fraction of the photon's average frequency is this?arrow_forward
- Atoms can be ionized by thermal collisions, such as at the high temperatures found in the solar corona. One such ion is C+5, a carbon atom with only a single electron. (a) By what factor are the energies of its hydrogen-like levels greater than those of hydrogen? (b) What is the wavelength of the first line in this ion's Paschen series? (c) What type of EM radiation is this?arrow_forwardConsider hydrogen in the ground state, 100 . (a) Use the derivative to determine the radial position for which the probability density, P(r), is a maximum. (b) Use the integral concept to determine the average radial position. (This is called the expectation value of the electrons radial position.) Express your answers into terms of the Bohr radius, a0. Hint: The expectation value is the just average value, (c) Why are these values different?arrow_forwardA student in a physics laboratory observes a hydrogen spectrum with a diffraction grating for the purpose of measuring the wavelengths of the emitted radiation, hr the spectrum, she observes a yellow line and finds its wavelength to be 589 nm. (a) Assuming that this is part of the Balmer series, determine the principal quantum number of the initial state, (b) What is unreasonable about this result? (c) Which assumptions are unreasonable 01 inconsistent?arrow_forward
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