College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 29, Problem 34GP
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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!
Chapter 29 Solutions
College Physics (10th Edition)
Ch. 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. 10CQ
Ch. 29 - Prob. 1MCPCh. 29 - Prob. 2MCPCh. 29 - Prob. 3MCPCh. 29 - Prob. 4MCPCh. 29 - Prob. 5MCPCh. 29 - Prob. 6MCPCh. 29 - Prob. 7MCPCh. 29 - Prob. 8MCPCh. 29 - Prob. 9MCPCh. 29 - Prob. 10MCPCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - What is the ratio of the number of different 3d...Ch. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10PCh. 29 - For bromine (Z = 35), make a list of the number of...Ch. 29 - (a) Write out the electron configuration (1s2 2s2,...Ch. 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. 27GPCh. 29 - Prob. 28GPCh. 29 - An electron has spin angular momentum and orbital...Ch. 29 - Prob. 30GPCh. 29 - Prob. 31GPCh. 29 - Prob. 32GPCh. 29 - Prob. 33GPCh. 29 - Prob. 34GPCh. 29 - Prob. 35GPCh. 29 - Prob. 36GPCh. 29 - Prob. 37GPCh. 29 - Prob. 38GPCh. 29 - Prob. 39PPCh. 29 - Prob. 40PPCh. 29 - Prob. 41PPCh. 29 - Prob. 42PP
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- The angular parts of p and d atomic orbitals are given below. Show that_dw and de orbitals are orthogonal. 15 sin? 0 sin 20 16л x, d= 15 sin O cos e sin oarrow_forwardThe figure shows a potential energy curve for the interaction of two neutral atoms. The two-atom system is in a vibrational state indicated by the heavy solid horizontal line. O eV -0.2 eV+ -0.4 eVF -0.6 eV -0.8 eV- -1.0 eV- -1.2 eV- -1.4 eVF -1.6 ev (a) At r = r1, what are the approximate values of the kinetic energy K, the potential energy U, and the quantity K+U? K = eV U = eV K+U = eV (b) What minimum (positive) amount of energy must be supplied to cause these two atoms to separate? eV Additi. L Matorialsarrow_forwarda) Find: [Sx, S.] and [L-,x] b) Which of these wave functions are not allowed in hydrogen atom: P2,1,1 • P3,1,1 • P2,0,-1 , P3,2,-2 c) L./@320 > = d) S-/x. >=arrow_forward
- 3. Consider a monatomic linear with equilibrium separation a. Suppose the outer electrons (of mass m) in a given atom move with a displacement different from that of the corresponding ion core (of mass M). Let the displacement of the ion core s be: Us = uei(Ksa-wt) and the displacement of the center of mass of the outer electrons associated with ion s be: V = vei(Ksa-wt) Each ion core is assumed to interact only with its own outer electrons with a force proportional to the displacement of the electron distribution from the nucleus, and the force constant is C₂. However, neighboring electron distributions interact with a force constant C₁. a) Show that -w² Mus = C₂ (vs - Us) -w²mvs = C₂ (us - Vs) + C₁ (Vs+1 + Vs-1-2vs) b) Substitute for the displacements, and solve the resulting simultaneous equations. Find an expression for w². c) Take the limit as m → 0 (the mass of electrons is much smaller than that of the ion core), and show that the dispersion relation for the acoustic mode is…arrow_forwardYou are working on determining the angle that separates two hybridized orbitals. In the process of determining the coefficients in front of the various atomic orbitals, you align the first one along the z-axis and the second in the x/z-plane (so o = 0). The second hybridized orbital was determined to be: W2 = R1s + R2p, sin 0 + R2p, cos 0 Determine the angle, 0, in degrees to one decimal place (XX.X) that separates these two orbitals. Assume that the angle will be between 0 and 90 degrees.arrow_forwardc. n= 2, 1 = 0. 2. Calculate the maximum number of electrons that can occupy a shell with (a) n = 2, (b) n = 3, and (c) n as a variable. Note you are only looking at the orbitals with the specified n value, not those at lower energies.arrow_forward
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