Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 40, Problem 16P
To determine
Find the effective stiffness constant.
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(b) Copper crystallises as FCC (face centred cubic). Given that the atomic radius and density of
a given copper sample are 1.28 x 1010 m and 8.98 x 10' kg/m' respectively, carry out the following:
Calculate the mass of the copper sample. T'ake Avogadro's number, NA = 6.023 x 1023
atoms/mole.
(i)
(ii) If the interatomic planar spacing, d, in the sample above is 2.96 x 1010 m, determine the angle
at which the first Bragg reflection will occur from the (111) plane if x-radiation of wavelength
1.52 x 10-10 m is used for the analysis.
(c) Give two uses of pure copper and two commercial applications of copper alloys.
3. (a) One way of treating the vibrational modes of a linear diatomic solid is to assume
that the atoms have the same masses, but the springs on either side of an atom have
spring constants K and G, respectively. Show that the dispersion relation of such a lattice
is given by
(K+G`
+G)' - 4KGsin ka
M
where M is the mass of the ion, G and K the lattice constants, a is the periodic distance
between masses and k the lattice wave vector.
(i)
(ii)
Sketch the dispersion relation
Discuss what happens when K = G and K >> G.
(b) In diatomic (linear) lattice, why do we assume same o and k.
(c) Calculate the Fermi energy of silver from the
data given below:
atom.
Density of Silver = 10.5 gm/cm³
atomic weight = 108
h = 6.62×10-34 Joule - sec
m = 9.1×10-³1 Kg.
Avogadro's number =6.02×10-21 atoms/gm-
Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 40.4 - Determine the three lowest rotational energy...Ch. 40.6 - Prob. 1BECh. 40.6 - Prob. 1CECh. 40.8 - Prob. 1DECh. 40 - What type of bond would you expect for (a) the N2...Ch. 40 - Describe how the molecule CaCl2 could be formed.Ch. 40 - Does the H2 molecule have a permanent dipole...Ch. 40 - Although the molecule H3 is not stable, the ion...Ch. 40 - The energy of a molecule can be divided into four...Ch. 40 - Would you expect the molecule H2+ to be stable? If...
Ch. 40 - Explain why the carbon atom (Z = 6) usually forms...Ch. 40 - Prob. 8QCh. 40 - Prob. 9QCh. 40 - Prob. 10QCh. 40 - Prob. 11QCh. 40 - Prob. 12QCh. 40 - Prob. 13QCh. 40 - Prob. 14QCh. 40 - Prob. 15QCh. 40 - Prob. 16QCh. 40 - Prob. 17QCh. 40 - Prob. 18QCh. 40 - Prob. 19QCh. 40 - Prob. 20QCh. 40 - Prob. 21QCh. 40 - Prob. 22QCh. 40 - Prob. 23QCh. 40 - Prob. 1PCh. 40 - (II) The measured binding energy of KCl is 4.43eV....Ch. 40 - (II) Estimate the binding energy of the H2...Ch. 40 - (II) The equilibrium distance r0 between two atoms...Ch. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - (III) (a) Apply reasoning similar to that in the...Ch. 40 - (I) Show that the quantity 2/I has units of...Ch. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 13PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - (II) Calculate the bond length for the NaCl...Ch. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 35PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 44PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60PCh. 40 - Prob. 61PCh. 40 - Prob. 62GPCh. 40 - Prob. 63GPCh. 40 - Prob. 64GPCh. 40 - Prob. 65GPCh. 40 - Prob. 66GPCh. 40 - Prob. 67GPCh. 40 - Prob. 68GPCh. 40 - Prob. 69GPCh. 40 - Prob. 70GPCh. 40 - Prob. 71GPCh. 40 - Prob. 72GPCh. 40 - Prob. 73GPCh. 40 - Prob. 74GPCh. 40 - Prob. 75GPCh. 40 - Prob. 76GPCh. 40 - Prob. 77GPCh. 40 - Prob. 78GPCh. 40 - Prob. 79GPCh. 40 - Prob. 80GPCh. 40 - Prob. 81GPCh. 40 - Prob. 82GPCh. 40 - Prob. 83GPCh. 40 - Prob. 84GPCh. 40 - Prob. 85GPCh. 40 - Prob. 86GPCh. 40 - Prob. 87GPCh. 40 - Prob. 88GPCh. 40 - Prob. 89GP
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- (i) At room temperature a pure crystal has electron and hole concentration n=p=n,-1.5 10 cm, and electron and hole drift mobilities, Po=1350 cm'Ns, P 450 cm2/Vs. Calculate the Hall coefficient and Hall voltage.arrow_forwardThe expression for the second overtone frequency in the vibrational absorption spectra of a diatomic molecule in terms of the harmonic frequency w. and anharmonicity constant x, is (A) 2w.(1 – xe) (B) 2w.(1 – 3x,) (C) 3w.(1– 2xe) (D) 3w.(1 – 4x.)arrow_forward(c) A common emitter BJT circuit and its voltage transfer curve is shown in Fig. 1(c) respectively. Assume the transistor common-emitter current gain, ß = 50, VBE (on) = 0.7 V, Rg = 100 kn and Rc = 1 k2. (i) Determine the input voltage at the point x. (ii) Calculate the base current, Ig and collector current, Ic at the point x. +Vcc Vo(V) Rc 5- Vo RB V, oww -RAR- IB VBE 0.5 V,(V) 15 Fig. 1(c) -END OF QUESTION-arrow_forward
- (b): the potential energy of a diatomic molecule is given by U = B where A and B are constants and r is the separation A r12 r6 distance between the atoms. For the H2 molecule, take A = 0.124 x 10-120 eV. m² and B = 1.488 × 10-60 eV . m°. Find the separation distance at which the energy of the molecule is a %3D minimum.arrow_forward(e) Explain what you understand by the statement: “the bonding in a solid is 30 % ionic and 70 % covalent". Why such types of bondings are occurred in a materials. Give proper reasoning with examples.arrow_forwardIn the motion of a diatomic molecule, the molecule oscillates as if there's a spring connecting the nuclei. translational rotational O vibrational O circumferential centrifugal normal O tensilearrow_forward
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