(a)
The reduced mass of a diatomic molecule is always smaller than the mass of the molecule and to calculate the reduced mass for
(a)
Answer to Problem 24P
Thereduced mass of
Explanation of Solution
Formula used:
The expression for reduced mass of a two body system is given by,
Calculation:
Dividing the expression for reduced mass of a two body systemby
Again, dividing the expression for reduced mass of a two body system by
In both case, the denominator is greater than 1 which implies
The reduced mass of
Conclusion:
Therefore, thereduced mass of
(b)
The reduced mass of
(b)
Answer to Problem 24P
The reduced mass of
Explanation of Solution
Calculation:
The reduced mass of
Conclusion:
Therefore, the reduced mass of
(c)
The reduced mass of
(c)
Answer to Problem 24P
The reduced mass of
Explanation of Solution
Calculation:
The reduced mass of
Conclusion:
Therefore, the reduced mass of
(d)
The reduced mass of
(d)
Answer to Problem 24P
The reduced mass of
Explanation of Solution
Calculation:
The reduced mass of
Conclusion:
Therefore, the reduced mass of
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Chapter 37 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
- Suppose there is a gas consisting of spin -½ atoms with a density of n atoms per unit volume. Each atom has an intrinsic magnetic moment μ and the interactions between atoms are negligible. Assume that the system obeys classical statistical rules. a) What is the probability of finding an atom with μ parallel to the magnetic field H at absolute temperature T? b) What is the probability of finding an atom with μ antiparallel to the magnetic field H at absolute temperature T?arrow_forwardUsing the following ionic radii, calculate the void volume fraction in the CsCl. Assume that the ions are practically spherical. Note: Establish the ratios of the radii from the Pythagorean theorem and explain the development steps. -Answers a = 4.04 ÅVoid = 0.317arrow_forwardIn discussing molecular rotation, the quantum num- ber J is used rather than 7. Using the Boltzmann distribution, calculate nj/no for ¹H³5Cl for J = 0, 5, 10, and 20 at T = 1025 K. Does ny/no go through a maximum as J increases? If so, what can you say about the value of J corre- sponding to the maximum?arrow_forward
- Let u,= 0.02 cm 1 and u, = 0.04 cm be the partial linear attenuation coefficients in the slab shown in the figure below. Let L = 5 cm and No = 106 particles. How many particles N, are transmitted, and how %3D many are absorbed by each interaction process in the slab? dt Uncharged partleles No N,arrow_forwardFor a material having FCC crystal cell structure, write the expressions for Planar atomic density in planes (0,0,1) and (1,1,0) in terms of atomic radius ‘r’ and calculate for Copper in gms/cm3 . Why metal shows directional nature of properties at atomic level whereas its bulk measured properties are isotropic in nature.arrow_forward(b) Use a formula to explain Bloch theorem.arrow_forward
- Derive the structure factor of MgO (NaCl structure). Write the extinction conditions and the amplitude of the lowest and highest peaks of the structure factor. Assume the atomic factors for Mg and O to be fMg and fo respectively.arrow_forwardpls show all steps 1) Assume that the elemental atoms are hard spheres of radius r.Calculate the maximum packing rate t obtained when this elementcrystallizes into the following structures:(a) simple cubic (sc)(b) body-centered cubic (bcc)(c) face-centered cubic (fcc)arrow_forwardCheck Your Understanding If a=3+4i , what is the product a* a?arrow_forward
- There is no limit to the size ahydrogen atom can attain, provided it is free from disruptive outside influences. In fact, radio astronomers have detected radiationfrom large, so-called “Rydberg atoms” in the diffuse hydrogen gasof interstellar space. (a) Find the smallest value of n such that theBohr radius of a single hydrogen atom is greater than 8.0 microns,the size of a typical single-celled organism. (b) Find the wavelength of radiation this atom emits when its electron drops fromlevel n to level n - 1. (c) If the electron drops one more level, fromn - 1 to n - 2, is the emitted wavelength greater than or lessthan the value found in part (b)? Explain.arrow_forwardNext nearest neighbor interactions. Consider a monatomic lattice. The potential energy of the crystal system, modeled as a linear chain of atoms is UpE. = 1/(2 a)E„x? where n runs over all the atoms in the chain and x, is the net displacement of the n'th atom. (a) Show that if the atom is interacting with p atoms on either side instead of one (as we discussed in class), the the force acting on the n'th atom is given by, Fn -Eap(un – Un+p); +p where a, represents the force constant between atoms numbered n and n+ p. (b) Let's now consider an atom interacting with four neighboring atoms, two on each side (i.e., p = 2). If a and m have the usual meanings, show that the dispersion relation is given by, 4a sin? (등) (1+ 4 cos? (등)). qa qa w? тarrow_forwardPlease show your solution. Thank you! Compute for the density of palladium which crystallizes in an fcc unit cell, and has an atomic radius of 1.3748x10^-8 cm. Type your answer in whole number.arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax