College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 30, Problem 7CQ
Explain how Bohr's rule for the quantization of electron orbital
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Chapter 30 Solutions
College Physics
Ch. 30 - Name three different types of evidence for the...Ch. 30 - Explain why patterns observed in the periodic...Ch. 30 - If atoms exist, why can't we see them with visible...Ch. 30 - What two pieces of evidence allowed the first...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - Explain how Bohr's rule for the quantization of...Ch. 30 - What is a hydrogen-like atom, and how are the...Ch. 30 - Explain why characteristic x rays are the most...Ch. 30 - Why does the energy of characteristic x rays...
Ch. 30 - Observers at a safe distance from atmospheric test...Ch. 30 - Lasers are used to burn and read CDs. Explain why...Ch. 30 - Crystal lattices can be examined with x rays but...Ch. 30 - CT scanners do not detect details smaller than...Ch. 30 - How do the allowed orbits for electrons in atoms...Ch. 30 - Atomic and molecular spectra are discrete. What...Ch. 30 - Hydrogen gas can only absorb EM radiation that has...Ch. 30 - Lasers are used to burn and read CDs. Explain why...Ch. 30 - The coating on the inside of fluorescent light...Ch. 30 - What is the difference between fluorescence and...Ch. 30 - How can you tell that a hologram is a true...Ch. 30 - How is the de Broglie wavelength of electrons...Ch. 30 - What is the Zeeman effect, and what type of...Ch. 30 - Define the quantum numbers n,l,ml,s, and ms.Ch. 30 - For a given value of n, what are the allowed...Ch. 30 - For a given value of l, what are the allowed...Ch. 30 - List all the possible values of s and msfor an...Ch. 30 - Identify the shell, subshell, and number of...Ch. 30 - Which of the following are not allowed? State...Ch. 30 - Using the given charge-to-mass ratios for...Ch. 30 - (a) Calculate the mass of a proton using the...Ch. 30 - If someone wanted to build a scale model of the...Ch. 30 - Rutherford found the size of the nucleus to be...Ch. 30 - In Millikan's oil-drop experiment, one looks at a...Ch. 30 - (a) An aspiring physicist wants to build a scale...Ch. 30 - By calculating its wavelength, show that the first...Ch. 30 - Find the wavelength of the third line in the Lyman...Ch. 30 - Look up the values of the quantities in...Ch. 30 - Verify that the ground state energy E0 is 13.6 eV...Ch. 30 - If a hydrogen atom has its electron in the n=4...Ch. 30 - A hydrogen atom in an excited state can be ionized...Ch. 30 - Find the radius of a hydrogen atom in the n=2...Ch. 30 - Show that (13.6eV)/hc=1.097107m=R (Rydberg's...Ch. 30 - What is the smallest-wavelength line in the Balmer...Ch. 30 - Show that the entire Paschen series is in the...Ch. 30 - Do the Balmer and Lyman series overlap? To answer...Ch. 30 - (a) Which line in the Balmer series is the first...Ch. 30 - A wavelength of 4.653 m is observed in a hydrogen...Ch. 30 - A singly ionized helium ion has only one electron...Ch. 30 - A beryllium ion with a single electron (denoted...Ch. 30 - Atoms can be ionized by thermal collisions, such...Ch. 30 - Verify Equations rn=n2ZaB and...Ch. 30 - The wavelength of the four Balmer series lines for...Ch. 30 - (a) What is the shortest-wavelength x-ray...Ch. 30 - A color television tube also generates some x rays...Ch. 30 - An x ray tube has an applied voltage of 100 kV....Ch. 30 - The maximum characteristic x-ray photon energy...Ch. 30 - What are the approximate energies of the K and K...Ch. 30 - Figure 30.39 shows the energy-level diagram for...Ch. 30 - A helium-neon laser is pumped by electric...Ch. 30 - Ruby lasers have chromium atoms doped in an...Ch. 30 - (a) What energy photons can pump chromium atoms in...Ch. 30 - Some of the most powerful lasers are based on the...Ch. 30 - If an atom has an electron in the n=5 state with...Ch. 30 - An atom has an electron with m1=2. What is the...Ch. 30 - What are the possible values of m1 for an electron...Ch. 30 - What, if any, constraints does a value of ml=1...Ch. 30 - (a) Calculate the magnitude of the angular...Ch. 30 - (a) What is the magnitude of the angular momentum...Ch. 30 - Repeat Exercise 30.40 for l=3.Ch. 30 - (a) How many angles can L make with the z-axis for...Ch. 30 - What angles can the spin S of an electron make...Ch. 30 - (a) How many electrons can be in the n=4 shell?...Ch. 30 - (a) What is the minimum value of 1 for a subshell...Ch. 30 - (a) If one subshell of an atom has 9 electrons in...Ch. 30 - (a) List all possible sets of quantum numbers...Ch. 30 - Which of the following spectroscopic notations are...Ch. 30 - Which of the following spectroscopic notations are...Ch. 30 - (a) Using the Pauli exclusion principle and the...Ch. 30 - Integrated Concepts Estimate the density of a...Ch. 30 - Integrated Concepts The electric and magnetic...Ch. 30 - (a) What is the distance between the slits of a...Ch. 30 - Integrated Concepts A galaxy moving away from the...Ch. 30 - Integrated Concepts Calculate the velocity of a...Ch. 30 - Integrated Concepts In a Millikan oil-drop...Ch. 30 - Integrated Concepts What double-slit separation...Ch. 30 - Integrated Concepts In a laboratory experiment...Ch. 30 - Integrated Concepts Find the value of l, the...Ch. 30 - Integrated Concepts Particles called muons exist...Ch. 30 - Integrated Concepts Calculate the minimum amount...Ch. 30 - Integrated Concepts A carbon dioxide laser used in...Ch. 30 - Integrated Concepts Suppose an MRI scanner uses...Ch. 30 - Integrated Concepts (a) An excimer laser used for...Ch. 30 - Integrated Concepts A neighboring galaxy rotates...Ch. 30 - Integrated Concepts A pulsar is a rapidly spinning...Ch. 30 - Integrated Concepts Prove that the velocity of...Ch. 30 - Unreasonable Results (a) What voltage must be...Ch. 30 - Unreasonable Results A student in a physics...Ch. 30 - Construct Your Own Problem The solar corona is so...Ch. 30 - Construct Your Own Problem Consider the...
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- Show that the maximum number of orbital angular momentum electron states in the nth shell of an atom is n2. (Ignore electron spin.) (Hint: Make a table of the total number of orbital angular momentum states for each shell and find the pattern.)arrow_forwardDistinguish between Bohr’s and Schiödinger’s model of the hydrogen atom. In particular, compare the energy and orbital angular momentum of the ground states.arrow_forwardA hydrogen atom is placed in a magnetic field. Which of the following quantities are affected? (a) total energy; (h) angular momentum; (c) z-component of angular momentum; (d) polar angle.arrow_forward
- Check Your Understanding When an election in a hydrogen atom is in the first excited state, what prediction does the Bohr model give about its orbital speed and kinetic energy? What is the magnitude of its orbital angular momentum?arrow_forwardWhat are the possible values of m for an electron in the n = 4 state?arrow_forwardWhat is the maximum number of orbital angular momentum electron states in the n = 3 shell of a hydrogen atom? (Ignore electron spin.)arrow_forward
- An electron in a hydrogen atom is in the n = 5, l = 4 state. Find the smallest angle the magnetic moment makes with the z-axis. (Express your answer in terms of B .)arrow_forward(a) Using the Pauli exclusion principle and the rules relating the allowed values of the quantum numbers (n,l,ml,ms), prove that the maximum number of electrons in a subshell is 2n2. (b) In a similar manner, prove that the maximum number of electrons in a shell is 2n2.arrow_forwardExplain why spectral lines of the hydrogen atom are split by an external magnetic field. What determines the number and spacing of these lines?arrow_forward
- Do the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest Balmer line and the longest Lyman line.)arrow_forwardWhat is the total number of states with orbital angular momentum l = 0 ? (Ignore electron spin.)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_forward
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