Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 8, Problem 19CQ
To determine
To Explain:The reason behind lanthanides resistance while separating them from one another chemically
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when we are finding the Zcom why z takes the value z = r / 2 and where is corroborated?
You are preparing to compete in the Physics Olympics. Your instructor is coaching you by providing you with challenging problems of the type you might see on an Olympics exam. He comes up with the following problem and gives you 15 minutes to solve it: Imagine a perfectly rigid HCl molecule that does not stretch as it rotates. The equilibrium separation of its ions is 0.127 5 nm. There are two isotopes for chlorine on the sample, Cl-35 and Cl-37. This results in double peaks in the molecular spectrum as shown. (a) Find an expression for the difference in the frequency between the peaks to the right of the gap as a function of the masses of the two chlorine isotopes and the quantum number J. (b) Estimate the difference in frequency numerically for J = 0, without consulting tables. Quick! Get to work!
4. Liner ionic crystal. Consider a line of 2N ions of alternating charge ±q with a
repulsive potential energy A/R" between nearest neighbors. (a) Show that at the
equilibrium separation
(CGS)
(b) Let the crystal be compressed so that R. → R. (1-8). Show that the work done
in a compressing a unit length of the crystal has the leading term C8²/2, where
2
(n-1)q² In 2
(CGS)
C =
U(R):
=
2Nq² In 2 (₁-1).
Ro
n
Ro
To obtain the results in SI, replace q² by q²/4л. Note: We should not expect to
obtain this result from the expression for U(R), but we must use the complete
expression for U(R).
Chapter 8 Solutions
Modern Physics
Ch. 8 - A dipole without angular momentum can simply...Ch. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQ
Ch. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Lithium is chemically reactive. What if electrons...Ch. 8 - Prob. 17CQCh. 8 - Prob. 18CQCh. 8 - Prob. 19CQCh. 8 - Prob. 20CQCh. 8 - Prob. 21CQCh. 8 - Prob. 22CQCh. 8 - Prob. 23CQCh. 8 - The total-spin singlet state for two electrons has...Ch. 8 - Prob. 25ECh. 8 - Prob. 26ECh. 8 - Show that the frequency at which an electron’s...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - Prob. 38ECh. 8 - Prob. 39ECh. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - The Slater determinant is introduced in Exercise...Ch. 8 - Prob. 44ECh. 8 - Exercise 44 gives an antisymmetricmultiparticle...Ch. 8 - Prob. 46ECh. 8 - Prob. 48ECh. 8 - Write the electronic configurations for...Ch. 8 - Prob. 50ECh. 8 - Prob. 51ECh. 8 - Prob. 52ECh. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - Prob. 56ECh. 8 - Prob. 57ECh. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - The well-known sodium doublet is two yellow...Ch. 8 - Prob. 61ECh. 8 - Prob. 62ECh. 8 - Prob. 64ECh. 8 - Prob. 65ECh. 8 - Prob. 66ECh. 8 - Prob. 67ECh. 8 - Prob. 68ECh. 8 - Prob. 69ECh. 8 - Prob. 70ECh. 8 - Repeat Example 8.6, but assume that the upper...Ch. 8 - Prob. 72ECh. 8 - Prob. 73ECh. 8 - Prob. 74ECh. 8 - Using J2=L2+S2+2LS to eliminate LS , as well as...Ch. 8 - A hydrogen atom is subjected to a magnetic field...Ch. 8 - Prob. 77ECh. 8 - Prob. 78ECh. 8 - Prob. 79ECh. 8 - Prob. 80ECh. 8 - Prob. 81ECh. 8 - As is done for helium in Table 8.3, determine for...Ch. 8 - Prob. 83CECh. 8 - Prob. 84CECh. 8 - Prob. 85CE
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