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- The number of silicon atoms per m3 is 5 × 1028. This is doped simultaneously with 5 × 1022 atoms per m3 of Arsenic and 5 × 1020 per m3 atoms of Indium. Calculate the number of electrons and holes.Stars similar to our sun eventually become white dwarfs, in which the hydrogen and helium have fused to form carbon and oxygen. The star has collapsed to a much smaller radius, which is why it is described as a “dwarf.” The electrons are not bound to the nuclei and form a degenerate Fermi gas within the white dwarf. Consider a white dwarf with a mass equal to the sun’s mass (1.99 x 1030 kg) but a radius of only 6.96 x 106 m, which is just 1% of the sun’s present radius. (a) If the white dwarf consists of equal parts carbon and oxygen, how many electrons are present? (b) What is the number density of electrons? (c) Find the Fermi energy of the electrons (in units of eV) and comment on the result.One description of the potential energy of a diatomic molecule is given by the Lennard–Jones potential, U = (A)/(r12) - (B)/(r6)where A and B are constants and r is the separation distance between the atoms. For the H2 molecule, take A = 0.124 x 10-120 eV ⋅ m12 and B = 1.488 x 10-60 eV ⋅ m6. Find (a) the separation distance r0 at which the energy of the molecule is a minimum and (b) the energy E required to break up theH2 molecule.
- Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rh has charge -Q. srb The electric field E at a radial distance r from the central axis is given by the function: E = ge/d0 + B/r + bo where alpha (a)., beta (8), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Voh between the two conductors. The potential difference is related to the electric field by: Edr = - Edr Calculating the antiderivative or indefinite integral, Vab = (-aageao + B + bo By definition, the capacitance Cis related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e""b/ao - eTala0) + ß In ) + bo (What is the root mean square velocity, vrms, for Helium atom (He) at 66oC? Hint: How many amu does an He atom contain? 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)Lall space Jall space 6. Self energy of a sphere of radius R and and uniform charge density with total charge Q is[Assume energy is given by U = where dt is elemental volume] 3 Q? Q r)² (4=r²dr) + /, o -)² (4#r² dr) = 1 R 1 Q 2 (True, False) = Lll space 2 €0 E²dr U = 4περτ2 5 4T€0 R 2 4περ R3
- A charge distribution with spherical symmetry has density = [' Pv Po₂ 0, 0≤r≤R r> R Calculate energy with p.V du equation. PV dvCalculate the number of free electrons per cm³ for gold (you need to use the density and atomic mass of gold).What fraction of the electrons in a good conductor have energies between 0.90 EF and EF at T = 0?
- The number of silicon atoms per m3 is 5 × 1028. This is doped simultaneously with 5 × 1022 atoms per m3 of Arsenic and 5 × 1020 per m3 atoms of Indium. Calculate the number of electrons and holes. Given that nI = 1.5 × 1016m–3. Is the material n-type or p-type?What is the final equilibrium temperature of the Hibernium and Cale-donium?(a) 193◦C(b) 203◦C(c) 212◦C(d) 231◦C(e) 278◦C The answer is B could someone please explain why.Most of the mass of an atom is in its nucleus. Model the mass distribution in a diatomic molecule as two spheres of uniform density, each of radius 2.00 x 10-15 m and mass 1.00 x 10-26 kg, located at points along the y axis as in 42.5a, and separated by 2.00 x 10-10 m. Rotation about the axis joining the nuclei in the diatomic molecule is ordinarily ignored because the first excited state would have an energy that is too high to access. To see why, calculate the ratio of the energy of the first excited state for rotation about the y axis to the energy of the first excited state for rotation about the x axis.