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- Which of the (110) type directions lie in the (112) plane? OA. [110] and [110] OB. [101] and [101] OC. [011] and and [101] OD.[110] and [110] OE. [110] and [101] QUESTION 30 The lattice constant of the unit cell of a-iron (has a bcc structure) is 0.287 nm. The number of atoms/mm2 (atoms per unit area) for the (111) plane is: OA. 9.86 X 10° atoms/mm² OB. 48.56 X 10° atoms/mm² OC. 0.96 X 10¹3 atoms/mm² OD. 22.11 X 10¹3 atoms/mm² 2 pod. Calculate the probability of an electron occupying an energy state that is 0.2 eV above theelectrochemical potential for a material at 110 oK.If the concentration of free electrons in a metal object equals (1×1029 electrons/m³). Determine the temperature at which two percent probability that an energy level of (7.73eV) is empty. 330.15k 340.22k O 334.15k O 337.25k 335.15k
- *42. a. Determine VL, IL, Iz, and Ir for the network of Fig. 2.186 if R1 = 180 N. b. Repeat part (a) if R1 = 470 N. c. Determine the value of R1 that will establish maximum power conditions for the Zener diode. d. Determine the minimum value of R1 to ensure that the Zener diode is in the “on" state. Rs 220 2 IR Vz = 10 V RL VL 20 V Pz, = 400 mW Zmax FIG. 2.186 Problem 42.Eg Q.1/ Prove that: ni = NcNy e 2KT Using Eg = Ec– Ev Solution: n .p = ni²The cell membrane has ion channels that can exist in two states, open or closed. When they are open, they let Na+ ions through. The energy of the open state is 4*10^-20 J. higher than the state of the closed channel. a. What proportion of the ion channels are open at a temperature of 20 C? b. How high should the temperature be so that 75% of the channels are open? Don't use Chat GPT otherwise I will report from bartleby.
- 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).4. If a kind of particles obeys the following dispersion -Dpa, what is the density of states (three dimensions)?Problem: Please Derive The Equation of States of Van Der Waals. The Equation iis: (p+2)(Vu –b) = RT WM-b) = RT V You are asked to proof the value of: 27 R Tc 1 RTc dan b 64 Pc 8 Pe
- Q1. Dispersion relation of electron in 1 D solid is E(k)= E-a-2ß cos(ka). Determine (a) density of states. (b) the effective mass of electrons at k = 0 as well as Brillouin zone boundaries. (c) the point of inflection i.e. k - value where velocity is maximum. Also determine the maximum velocity. (d) the band width.Eg Q.1/ Prove that: ni = NcNy e Using Eg = Ec-Ev Solution: n.p = ni?Q4. Calculate the values of electron and hole concentrations in cm³ at 300 K for intrinsic Ge, Si and GaAs, given: Quantity me/mo m/mo Eg (eV) mo e kB h Ge 0.55 0.31 0.66 9.1×10-³1 kg 1.6×10-¹9 C 1.38×10-23 J/K 1.054×10-34 Js Si 1.10 0.56 1.12 Ge 0.068 0.500 1.43