Physics (5th Edition)
5th Edition
ISBN: 9780134051802
Author: Walker
Publisher: PEARSON
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Question
Chapter 31.5, Problem 5EYU
To determine
The number of state correspond to
3
n
2
l
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Students have asked these similar questions
A - What are all the possible values of n for this state?
B - What are all possible values of l for this state?
C - What are all the possible values of ml for this state?
2. Calculate the probability of finding the electron in the ground state of hydrogen at less than one Bohr radius from the nucleus
3. What is the probability of finding a 1s electron between r = r0 and r = 1.7r0?
2. An electron in a hydrogenic atom (e.g., Li2+) is described by the
quantum numbers n = 2, l = 1, m₁ = 0.
a) Write the spatial wavefunction describing this electron.
b) Write the expression you would need to solve in order to determine the
probability of the electron being located at the Bohr radius, ao = 53 pm.
c) Write the expression you would need to solve in order to determine the
probability of the electron being located between the nucleus and the Bohr
radius?
d) How would you find the most probable position of the electron?
You are trying to identify some elements by using Moseley approach i.e.
by observing their characteristic X-ray spectrum. Upon experience, you
understood that your setup and the elements you are interested gives only
one characteristic X-ray line which are called L series and specifically an
La line.
a. Derive a Moseley-like expression for La lines by using Bohr's
assumptions.
b. Choose a suitable element from the Periodic table and calculate the
characteristic X-ray emission wavelength.
Chapter 31 Solutions
Physics (5th Edition)
Ch. 31.1 - Prob. 1EYUCh. 31.2 - Prob. 2EYUCh. 31.3 - Prob. 3EYUCh. 31.4 - Prob. 4EYUCh. 31.5 - Prob. 5EYUCh. 31.6 - Prob. 6EYUCh. 31.7 - Prob. 7EYUCh. 31 - Prob. 1CQCh. 31 - Prob. 2CQCh. 31 - Prob. 3CQ
Ch. 31 - Prob. 4CQCh. 31 - Prob. 5CQCh. 31 - Prob. 6CQCh. 31 - Prob. 7CQCh. 31 - Prob. 8CQCh. 31 - Prob. 9CQCh. 31 - Prob. 1PCECh. 31 - Prob. 2PCECh. 31 - Prob. 3PCECh. 31 - Prob. 4PCECh. 31 - Prob. 5PCECh. 31 - Prob. 6PCECh. 31 - Prob. 7PCECh. 31 - Prob. 8PCECh. 31 - Prob. 9PCECh. 31 - Prob. 10PCECh. 31 - Prob. 11PCECh. 31 - Prob. 12PCECh. 31 - Prob. 13PCECh. 31 - Prob. 14PCECh. 31 - Prob. 15PCECh. 31 - Prob. 16PCECh. 31 - Prob. 17PCECh. 31 - Prob. 18PCECh. 31 - Prob. 19PCECh. 31 - Prob. 20PCECh. 31 - Prob. 21PCECh. 31 - Prob. 22PCECh. 31 - Prob. 23PCECh. 31 - Prob. 24PCECh. 31 - Prob. 25PCECh. 31 - Prob. 26PCECh. 31 - Prob. 27PCECh. 31 - Prob. 28PCECh. 31 - Prob. 29PCECh. 31 - Prob. 30PCECh. 31 - Prob. 31PCECh. 31 - Prob. 32PCECh. 31 - Prob. 33PCECh. 31 - Prob. 34PCECh. 31 - Prob. 35PCECh. 31 - Prob. 36PCECh. 31 - Prob. 37PCECh. 31 - Prob. 38PCECh. 31 - Prob. 39PCECh. 31 - Prob. 40PCECh. 31 - Prob. 41PCECh. 31 - Prob. 42PCECh. 31 - Prob. 43PCECh. 31 - Prob. 44PCECh. 31 - Prob. 45PCECh. 31 - Prob. 46PCECh. 31 - Prob. 47PCECh. 31 - Prob. 48PCECh. 31 - Prob. 49PCECh. 31 - Prob. 50PCECh. 31 - Prob. 51PCECh. 31 - Prob. 52PCECh. 31 - Give the electronic configuration for the ground...Ch. 31 - Prob. 54PCECh. 31 - Prob. 55PCECh. 31 - Prob. 56PCECh. 31 - The configuration of the outer electrons in Ni is...Ch. 31 - Prob. 58PCECh. 31 - Prob. 59PCECh. 31 - Prob. 60PCECh. 31 - Prob. 61PCECh. 31 - Prob. 62PCECh. 31 - Prob. 63PCECh. 31 - Prob. 64PCECh. 31 - Prob. 65PCECh. 31 - Prob. 66PCECh. 31 - Prob. 67PCECh. 31 - Prob. 68GPCh. 31 - Prob. 69GPCh. 31 - Prob. 70GPCh. 31 - Prob. 71GPCh. 31 - Prob. 72GPCh. 31 - Prob. 73GPCh. 31 - Prob. 74GPCh. 31 - Prob. 75GPCh. 31 - Prob. 76GPCh. 31 - Prob. 77GPCh. 31 - Prob. 78GPCh. 31 - Prob. 79GPCh. 31 - Prob. 80GPCh. 31 - Prob. 81GPCh. 31 - Prob. 82GPCh. 31 - Prob. 83GPCh. 31 - Prob. 84PPCh. 31 - Prob. 85PPCh. 31 - Prob. 86PPCh. 31 - Prob. 87PPCh. 31 - Prob. 88PPCh. 31 - Prob. 89PP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) List all possible sets of quantum numbers (n,l,ml,ms) for the n=3 shell, and determine the number of electrons that can be in the shell and each of its subshells. (b) Show that the number of electrons in the shell equals 2n2and that the number in each subshell is 2(2l+1).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_forward(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=3 shell?arrow_forward
- a. Calculate the de Broglie wavelength of the electron in the n = 1, 2, and 3 states of the hydrogen atom. Use the information as shown.b. Show numerically that the circumference of the orbit for each of these stationary states is exactly equal to n de Broglie wavelengths.c. Sketch the de Broglie standing wave for the n = 3 orbit.arrow_forward1. a. What is the total number of orbitals associated with the principal quantum number n=1? b. What is the total number of orbitals associated with the principal quantum number n=2? c. What is the total number of orbitals associated with the principal quantum number n=3?| d. What conclusion can be drawn from total number of orbitals associated with a given principal quantum number? 2. List the values of n, {, m, for an orbital in the 4d subshell.arrow_forwardExplain why each of the following sets of quantum numbers would not be permissible for an electron, according to the rules for quantum numbers.arrow_forward
- Question 12arrow_forwardHydrogen atom Lets have a non-relativistic description of the hydrogen atom using pointlike electron and nucleus without any spin. a. What are the quantum numbers and their range of values of the energy levels? Which energy levels are degenerate? b. Assume that the electron has a (small) finite volume. What is the effect on the energy levels (i.e. shifts, splittings)? c. Now assume instead that the nucleus has a spin and magnetic moment (but NOT the electron). Describe whether this leads to an additional term in the Hamiltonian and what its effect is on the energy levels and (good) quantum numbers.arrow_forwardConsider a Helium ion (Z = 2) with one electron. a. Derive the energy levels of the this ion. b. Calculate the ionisation energy. c. Calculate the 5 main wavelengths of the principal series, namely the wavelength that corresponds to the transitions n→ 1, with n = 2,3,4,5,6. Plot them as spectral lines. d. Find an expression for the velocity of the electron at each energy level. Calculate the velocity of the electron at the lowest energy level. e. Assume a hypothetical ion with Z protons, no neutrons and one electron. Above which Z the velocity of the electron exceeds the speed of light? can such an atom exist?arrow_forward
- I need the answer as soon as possiblearrow_forwardEven before Neils Bohr's model of the hydrogen atom, it was observed that the wavelengths emitted by hydrogen are predicted by an equation based on integer numbers (the Rydberg equation). What wavelength does this equation predict for a transition of an electron in a hydrogen atom from n = 6 to n = 2? A = nm The Paschen series is a set of wavelengths emitted by hydrogen (in the infrared) corresponding to transitions down to n = 3 (from n >3). What value of n >3 corresponds to A = 1,875 nm? (Enter an integer) n=arrow_forwardThe attached image shows the outcome of a Stern-Gerlach experiment with atoms of an unknown element X. part a) Do the peaks represent different values of the atom's total angular momentum or different values of the z-component of its angularmomentum? Explain.part b) What angular momentum quantum numbers characterize these four peaks? List them in order from top to bottom in the picture.arrow_forward
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