Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 29, Problem 32P
To determine
The order of the sub-shells are filled through
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Imagine that we have a box that emits electrons in a definite but unknown spin state y). If
we send electrons from this box through an SGz device, we find that 20% are determined to
have Sz
+ħ and 80% to have S₂ -ħ. If we send electrons from this box through an
SGx device, we find that 90% are determined to have Sx +ħ and 10% to have Sx
Determine the state vector for electrons emerging from the box. You may assume that the
vector components are real.
-1/ħ.
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O 1-25-2p 3s°3p
Magnesium (12) has an atomic number of 12. What is its electron configuration?
O 1s2522p²3s²3p*
O 1s²25-2p°3s?
O 1s25²2p²3s³3p*
O 1s25²2p°3p²
4.
The proton (mass M) and electron (mass m) in a hydrogen atom actually rotate about their common center of mass as shown in Figure .
The distance r = re + rM is still defi ned to be the electron-nucleus distance. Show that Equation is only modifi ed by substituting for m by
Chapter 29 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
Ch. 29.2 - Prob. 29.1QQCh. 29.2 - Prob. 29.2QQCh. 29.4 - Prob. 29.3QQCh. 29.5 - Prob. 29.4QQCh. 29.6 - Prob. 29.5QQCh. 29.6 - Prob. 29.6QQCh. 29 - Prob. 1OQCh. 29 - Prob. 2OQCh. 29 - Prob. 3OQCh. 29 - Prob. 4OQ
Ch. 29 - Prob. 5OQCh. 29 - Prob. 6OQCh. 29 - Prob. 7OQCh. 29 - Prob. 8OQCh. 29 - Prob. 9OQCh. 29 - Prob. 10OQCh. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 46PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52PCh. 29 - Prob. 53PCh. 29 - Prob. 54PCh. 29 - Prob. 55PCh. 29 - Prob. 57PCh. 29 - Prob. 58PCh. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - Prob. 61PCh. 29 - Prob. 63PCh. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Prob. 66P
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- (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_forwardHow many subshells are in the n = 3 shell? Identify each subshell, calculate the maximum number of electrons that will fit into each, and verify that the total is 2n2 .arrow_forwardHow many subshells are in the n=3 shell? Identify each subshell, calculate the maximum number of electrons that will fit into each, and verify that the total is 2n2.arrow_forward
- (a) What is the minimum value of 1 for a subshell that has11 electrons in it?(b) If this subshell is in the n = 5 shell, what is the spectroscopic notation for this atom?arrow_forwardThe wave function for a Hydrogen atom, at time t = 0 is: = V(21,0,0) + 12,1,0) + v?[2, 1, 1) + v3 |2,1, –1). |亚) considering that the notation is n,l, mi). If spin and radioactive transitions are ignored. a) Calculate the expectation value. b) Calculate the wave function at arbitrary time t. c) What is the probability of finding the system in the state with I = 1 and m = 1, as a function of time? d) What is the probability of finding the electron at a distance of 10 ^ -10cm. of the proton? (at t = 0).arrow_forwardForm factor of atomic hydrogen. For the hydrogen atom in its ground state, the number density is n(r) = (ra)¯ exp(-2r/a), where a, is the Bohr radius. Show that the form factor is fc = 16/(4 + G*a)*. %3Darrow_forward
- Imagine that we have a box that emits electrons in a definite but unknown spin state |psi>. If we send electrons from this box through an SGz device, we find that 20% are determined to have Sz = +0.5 * hbar and 80% to have Sz = -0.5 * hbar. If we send electrons from this box through an SGx device, we find that 90% are determined to have Sx = +0.5 * hbar and 10% to have Sx = -0.5 * hbar. Determine the state vector for electrons emerging from the box (up to an overall sign). You may assume that the vector components are real. (Hint: the answer is [sqrt(1/5), sqrt(4/5)] ).arrow_forwardWhy do we say that ∆t= h/(2 ∆E) is a lower-bound estimate of the lifetime of an atomic state? Why isn’t that the exact or approximate value of the lifetime?arrow_forward(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 2n2 and that the number in each subshell is 2(2l + 1) .arrow_forward
- Which hydrogen like atom has the wavelength difference between the first line of Lyman and Balmer is equal to 59.3nm?arrow_forwardHow many electrons can occupy (a) the 2p subshell and (b) the3p subshell?arrow_forward= . Using the formula for the hydrogen atom energy levels, En constant can be written in terms of fundamental quantities, RH = Me 4 8€, ²h³c Me 4 1 860²h² n²¹ the Rydberg and its value approaches, RH → R∞ = 10,973,731.6 m-¹ in the limit u → me. (a) How would this constant be defined for a one-electron species containing Z protons in its nucleus? Consider how this changes the form of the Hamiltonian and the energy levels for that Hamiltonian. (b) The hydrogen atom emission lines in the Balmer series (n₂ = 2) lie in the visible portion of the electromagnetic spectrum. Would this also be true if Z> 1? Find the wavelength (in nm) of the n = 32 emission in hydrogen and that for a one-electron species with Z = 2. (You will be asked to report a quantity on the quiz that depends on these two values.)arrow_forward
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