College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question
Chapter 28, Problem 22P
(a)
To determine
The number of different wavelengths would be observed in the emission spectrum.
(b)
To determine
The longest wavelength.
(c)
To determine
The longest wavelength belongs in which series.
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Consider a large number of hydrogen atoms, with electrons all initially in the n = 4 state. (a) How many different wavelengths would be observed in the emission spectrum of these atoms? (b) What is the longest wavelength that could be observed? (c) To which series does the wavelength found in (b) belong?
(a) If one subshell of an atom has 9 electrons in it, what is the minimum value of l ? (b) What is the spectroscopic notation for this atom, if this subshell is part of the n = 3shell?
(a) What is the wavelength of light for the least energetic photon emitted in the Balmer series of the hydrogen atom spectrum lines? (b) What is the wavelength of the series limit?
Chapter 28 Solutions
College Physics
Ch. 28.3 - Prob. 28.1QQCh. 28.4 - Prob. 28.2QQCh. 28.5 - Prob. 28.3QQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQ
Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46APCh. 28 - Prob. 47APCh. 28 - Prob. 48APCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54AP
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- A) What is the least amount of energy, in electron volts, that must be given to a hydrogen atom which is initially in its ground level so that it can emit the HαHα line in the Balmer series? Express your answer in electronvolts to three significant figures. B) How many different possibilities of spectral-line emissions are there for this atom when the electron starts in the n = 3 level and eventually ends up in the ground level?arrow_forwardAn 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_forward(a) In an electron microscope, what accelerating voltage is needed to produce electrons with wavelength 0.0600 nm? (b) If protons are used instead of electrons, what accelerating voltage is needed to produce protons with wavelength 0.0600 nm?arrow_forward
- A hypothetical atom has two energy levels, with a transition wavelength between them of 580 nm. In a particular sample at 300 K, 4.0 * 10^20 such atoms are in the state of lower energy. (a) How many atoms are in the upper state, assuming conditions of thermal equilibrium? (b) Suppose, instead, that 3.0*10^20 of these atoms are “pumped” into the upper state by an external process, with 1.0 * 10^20 atoms remaining in the lower state. What is the maxi-mum energy that could be released by the atoms in a single laser pulse if each atom jumps once between those two states (either via absorption or via stimulated emission)?arrow_forwardWhat is the maximum photon wavelength that would free an electron in a hydrogen atom when it is in the n = 8 excited state? (Give the answer in meters.)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. In the spectrum, she observes a yellow line and finds itswavelength to be 589 nm. (a) Assuming 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 or inconsistent?arrow_forward
- 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 level. If the hydrocarbon contains 6 electrons and has a spectral transition at a wavelength of 278 nm, estimate the effective length of the TT-system. The estimated length = nm. 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%)arrow_forwardb) A metal is impacted by photons of wavelength 375 nm and electrons are emitted from its surface. Given that the work function of the metal is 2.5 x 10-1⁹ J, calculate: i) The maximum kinetic energy of the emitted electrons. ii) The maximum speed of the electrons. c) In a Millikan oil drop experiment a charged oil droplet of mass 8.22 x 10-16 kg is held stationary by the electric field between two oppositely charged horizontal parallel plates a distance 50.0 mm apart. The top plate is at a potential of +840 V with respect to the lower plate and the acceleration due to gravity g is 9.8 ms ². i) Calculate the charge on the droplet and state its nature. ii) Calculate the initial acceleration of the droplet if the plate voltage is suddenly reversed.arrow_forwardPlease don't provide handwritten solution ... An electron in the n = 4 level of an H atom emits a photon of wavelength 97 nm. To what energy level does the electron move?arrow_forward
- Find the kinetic energy (in eV) of an electron whose deBroglie wavelength is equal to 0.5 Å = 0.05 nm, a typical atomicsize. (b) If the wavelength of the electron is reduced to 10–15 m, atypical nuclear size, is its kinetic energy greater than, less than, orequal to the value found in part (a)? Explainarrow_forwardWhat is the energy in eV and wavelength in µm of a photon that, when absorbed by a hydrogen atom, could cause a transition from the n = 4 to the n = 6 energy level? (a) energy in eV? (b) wavelength in µm?arrow_forwardThe Lyman series comprises a set of spectral lines. All of these lines involve a hydrogen atom whose electron undergoes a change in energy level, either beginning at the n = 1 level (in the case of an absorption line) or ending there (an emission line). The inverse wavelengths for the Lyman series in hydrogen are given by 1 - where n = 2, 3, 4, ... and the Rydberg constant R, = 1.097 x 10' m-. (Round your answers to at least one decimal place. Enter your answers in nm.) %3D (a) Compute the wavelength for the first line in this series (the line corresponding to n = 2). nm (b) Compute the wavelength for the second line in this series (the line corresponding to n = 3). nm (c) Compute the wavelength for the third line in this series (the line corresponding to n = 4). nm (d) In which part of the electromagnetic spectrum do these three lines reside? O x-ray region O ultraviolet region O infrared region O gamma ray region O visible light regionarrow_forward
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