Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 41, Problem 28P
To determine
The order of filling subshells through
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Someone wanted to build a scale model of the atom with a nucleus 1.4 m in diameter.
How far away would the nearest electron need to be in meters? Assume the orbital radius of an electron is 10^(-10)m, while the radius of the nucleus is 10^(-15) m.
ra=?
Suppose someone wanted to build a scale model of the atom with a nucleus 1.4 m in diameter.
How far away would the nearest electron need to be in meters? Assume the orbital radius of an electron is 10^(-10)m, while the radius of the nucleus is 10^15 m.
ra=?
=
=
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.
=
-
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.3 - Prob. 41.1QQCh. 41.3 - Prob. 41.2QQCh. 41.4 - Prob. 41.3QQCh. 41.4 - Prob. 41.4QQCh. 41.8 - Prob. 41.5QQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5P
Ch. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37APCh. 41 - Prob. 39APCh. 41 - Prob. 40APCh. 41 - Prob. 41APCh. 41 - Prob. 42APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51CPCh. 41 - Prob. 52CP
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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_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_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
- How 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_forwardO 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.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_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_forwardA hypothetical atom has only two atomic energy levels, separated by 3.2 eV. Suppose that at a certain altitude in the atmosphere of a star there are 6.1 * 1013/cm3 of these atoms in the higher-energy state and 2.5 * 1015/cm3 in the lower-energy state. What is the temperature of the star’s atmosphere at that altitude?arrow_forwardImagine 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_forward
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