University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 8, Problem 37P
What is the probability that the is electron of a hydrogen atom is found outside the Bohr radius?
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Chapter 8 Solutions
University Physics Volume 3
Ch. 8 - Check Your Understanding Can the magnitude of...Ch. 8 - Check Your Understanding If the Stem-Gerlach...Ch. 8 - Check Your Understanding X-rays are produced by...Ch. 8 - Identify the physical significance of each of the...Ch. 8 - Describe the ground state of hydrogen in terms of...Ch. 8 - Distinguish between Bohr’s and Schiödinger’s model...Ch. 8 - Explain why spectral lines of the hydrogen atom...Ch. 8 - A hydrogen atom is placed in a magnetic field....Ch. 8 - On what factors does the orbital magnetic dipole...Ch. 8 - Explain how a hydrogen atom in the ground state (l...
Ch. 8 - Compare orbital angular momentum with spin angular...Ch. 8 - List all the possible values of s and msfor an...Ch. 8 - Are the angular momentum vectors L necessarily S...Ch. 8 - What is spin-orbit coupling?Ch. 8 - What is Pauli's exclusion principle? Explain the...Ch. 8 - Compare the electron configurations of the...Ch. 8 - Compare the electron configurations of the...Ch. 8 - Atomic and molecular spectra are discrete. What...Ch. 8 - Discuss the process of the absorption of light by...Ch. 8 - NGC1763 is an emission nebula in the Large...Ch. 8 - Why are X-rays emitted only for electron...Ch. 8 - How do the allowed orbits for electrons in atoms...Ch. 8 - Distinguish between coherent and monochromatic...Ch. 8 - Why is a metastable state necessary for the...Ch. 8 - How does light from an incandescent light bulb...Ch. 8 - How is a Blu-Ray player able to read more...Ch. 8 - What are the similarities and differences between...Ch. 8 - The wave function is evaluated at rectangular...Ch. 8 - If an atom has an election in the n = 5 state with...Ch. 8 - What are the possible values of m for an electron...Ch. 8 - What, if any, constraints does a value of m = 1...Ch. 8 - What are the possible values of m for an electron...Ch. 8 - (a) How many angles can L make with the z-axis for...Ch. 8 - The force on an electron is “negative the gradient...Ch. 8 - What is the total number of states with orbital...Ch. 8 - The wave function is evaluated at spherical...Ch. 8 - Coulomb's force law states that the force between...Ch. 8 - Write an expression for the total number of states...Ch. 8 - Consider hydrogen in the ground state, 100 . (a)...Ch. 8 - What is the probability that the is electron of a...Ch. 8 - How many polar angles are possible for an electron...Ch. 8 - What is the maximum number of orbital angular...Ch. 8 - What is the maximum number of orbital angular...Ch. 8 - Find die magnitude of the orbital magnetic dipole...Ch. 8 - A current of I = 2A flows through a square-shaped...Ch. 8 - Estimate the ratio of the electron magnetic moment...Ch. 8 - Find die magnitude of the orbital magnetic dipole...Ch. 8 - For a 3d electron in an external magnetic field of...Ch. 8 - An electron in a hydrogen atom is in the n = 5, l...Ch. 8 - Find the minimum torque magnitude that acts on...Ch. 8 - An election in a hydrogen atom is in 3p state....Ch. 8 - Show that U=B . (Hint: An infinitesimal amount of...Ch. 8 - What is the magnitude of the spin momentum of an...Ch. 8 - What are the possible polar orientations of the...Ch. 8 - For n = 1, write all the possible sets of quantum...Ch. 8 - A hydrogen atom is placed in an external uniform...Ch. 8 - If the magnetic field in the preceding problem is...Ch. 8 - If the magnetic moment in the preceding problem is...Ch. 8 - For n = 2, write all the possible sets of quantum...Ch. 8 - (a) How many electrons can be in the n = 4 shell?...Ch. 8 - (a) What is the minimum value of l for a subshell...Ch. 8 - Unreasonable result. Which of die following...Ch. 8 - Write the electron configuration for potassium.Ch. 8 - Write the election configuration for iron.Ch. 8 - The valence election of potassium is excited to a...Ch. 8 - (a) If one subshell of an atom has nine electrons...Ch. 8 - Write the electron configuration for magnesium.Ch. 8 - Write the electron configuration for carbon.Ch. 8 - The magnitudes of the resultant spins of the...Ch. 8 - What is the minimum frequency of a photon required...Ch. 8 - The ion Li2+ makes ail atomic transition from ail...Ch. 8 - The red light emitted by a ruby laser has a...Ch. 8 - The yellow light from a sodium-vapor street lamp...Ch. 8 - Estimate the frequency of the KaX-ray from cesium.Ch. 8 - Estimate the frequency of the K X-ray from cesium.Ch. 8 - X-rays are produced by striking a target with a...Ch. 8 - For the preceding problem, what happens to the...Ch. 8 - Suppose the experiment in the preceding problem is...Ch. 8 - An X-ray tube accelerates an electron with an...Ch. 8 - A color television tube generates some X-rays when...Ch. 8 - An X-ray tube has an applied voltage of 100 kV....Ch. 8 - The maximum characteristic X-ray photon energy...Ch. 8 - What are the approximate energies of the K and...Ch. 8 - Compare the X-ray photon wavelengths for copper...Ch. 8 - The approximate energies of the K and K X-rays for...Ch. 8 - A carbon dioxide laser used in surgery emits...Ch. 8 - An excimer laser used for vision correction emits...Ch. 8 - For a hydrogen atom in an excited state with...Ch. 8 - What is the probability that the Is electron of...Ch. 8 - Sketch the potential energy function of an...Ch. 8 - Find the value of l, the orbital angular momentum...Ch. 8 - Show that the maximum number of orbital angular...Ch. 8 - What is the magnitude of an electron magnetic...Ch. 8 - What is the maximum number of electron states n =...Ch. 8 - A ground-state hydrogen atom is placed in a...Ch. 8 - Show that the maximum number of electron states...Ch. 8 - The valence election of chlorine is excited to a...Ch. 8 - Which of the following notations are allowed (that...Ch. 8 - The ion Be3+ makes an atomic transition from an n...Ch. 8 - The maximum characteristic X-ray photon energy...Ch. 8 - Derive an expression for the ratio of X-ray photon...Ch. 8 - Compare the X-ray photon wavelengths for copper...Ch. 8 - (a) What voltage must be applied to an X-ray tube...Ch. 8 - A student in a physics laboratory observes a...
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- What is the probability that the Is electron of hydrogen atom is found between r = 0 and r= ?arrow_forwardCheck Your Understanding If the Stem-Gerlach experiment yielded four distinct bands instead of two, what might be concluded about the spin quantum number of the charged particle?arrow_forwardWhat is the radius of a hydrogen atom when the electron is in the first excited state?arrow_forward
- (a) If one subshell of an atom has nine electrons in it, what is the minimum value of (b) What is the spectroscopic notation for this atom, if this subshell is part of the n = 3 shell?arrow_forwardCheck Your Understanding X-rays are produced by bombarding a metal target with high-energy electrons. If the target is replaced by another with two times the atomic number, what happens to the frequency of X-rays?arrow_forwardWhat is the probability that an electron in the base state of the hydrogen atom will be found inside the nucleus? (let the radius of the nucleus be r).arrow_forward
- In the planetary model of the atom where electrons orbit a centralized nucleus, what is the approximate ratio of the radius of the nucleus to that of the electron orbits?arrow_forwardWhat is the probability that an electron in the ground state of the hydrogen atom is found within the nucleus? Assume that the radius of the nucleus is b.arrow_forwardWhat is the radius in nm of the electron orbit of a hydrogen atom for n = 4? answer in (nm)arrow_forward
- (a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is αc/n, where α is the fine structure constant, equal to e2/4πε0ħc. (b) What would be the speed in a hydrogen like atom with a nuclear charge of Ze?arrow_forwardFind the most probable radius of a 5p electron.arrow_forward(a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is ac/n, where a is the fine structure constant, equal to e/4neghc. (b) What would be the speed in a hydrogen like atom with a nuclear charge of Ze?arrow_forward
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