Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
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.
=
-
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
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_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_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
- How many electrons can occupy (a) the 2p subshell and (b) the3p subshell?arrow_forward(a) For a given value of the principal quantum number n for a hydrogen atom, how many values of the orbital quantum number l are possible? (b) For a given value of , how many values of the orbital magnetic quantum number ml are possible? (c) For a given value of n, how many values of ml are possible?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
- Given the ratio of Rydberg constants for hydrogen (H) and hydrogen isotope (D) as RH/RD = 0.999728, and the ratio of their nuclear mass as mH/mD = 0.50020, please calculate the ratio of proton mass to electron massarrow_forwardO 1s2s-2p-3s 3p O 1s°25 2p 3p? What is the atomic number Z of the element with the electron configuration 1s²25²2p°3s²3p®3d4s²? 04 09 O21 O 18 Finish Cancelarrow_forwardThe nucleus of a certain atom has a radius of 4.0 × 10^-15 m. An electron orbits the nucleus at a radius of 1.5 × 10^-10 m. Imagine the electron orbit is on the surface of a sphere and that the shape of the nucleus is spherical. Approximately how many nuclei would fit into the sphere on which the electron orbits?arrow_forward
- List all the possible quantum numbers (n,l,me) for the n = 5 level in atomic hydrogen.arrow_forwardThe wavefunction of an hydrogenic atom in its ground state is: 1 Z 3/2 Zr Φο a0 ao where Z is the atomic number and do the bohr radius. 1) Give an expression of a。 as a function of the reduced mass. What is the reduced mass of a tritium atom (you can assume that the mass of a neutron to be the same as the mass of a proton)? What is the reduced mass of ³He+? How do they compare to the mass of an electron? 2) What is the wavefunction of a tritium atom in its ground state? What is the wavefunction of ³He+ in its ground state?arrow_forwardHow many possible values of ms can there be in an atom with n = 3?arrow_forward
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