7-13. For € = 2, (a) what is the minimum value of L + L3? (b) What is the maximum value of L + L3? (c) What is L + L for ( = 2 and m=1? Can either L, or L, be deter- mined from this? (d) What is the minimum value of n that this state can have?
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- 1 (a) The width of an infinite potential well for a free electron of an 1-D material is 10.5 A. Determine the first four allowed energy levels in eV for this free electron. Also find E2-E1, E3-E2 and E4-E3 in eV. Comment on the separation between successive levels. n?n²h? En 2ma?For what energy levels in the hydrogen atom will we not find l 2 states? =Chapter 39, Problem 017 An electron in the n, state in the finite potential well of of Figure (a) absorbs 650 eV of energy from an external source. U U(x) Ug L. (a) Using the energy-level diagram of Figure (b), determine the electron's kinetic energy after this absorption, assuming that the electron moves to a position for which x > L.
- -2r/rB dr. Find the probability that the r2e The radial probabiliity density for an electron in the 1s orbital is given by P(r) electron is found between 1.22 rg and (1.22+0.001)r;. Give you answer to two decimal places in exponential notation. Round your answer to 2 decimal places. Add your answerIn the subshell e = 3, (a) what is the greatest (most positive) me value, (b) how many states are available with the greatest mn, value, and (c) what is the total number of states in the subshell? (a) Number Units (b) Number Units (c) Number UnitsAssume that State A has an energy of -2 eV, while State B has an energy of -4eV. Of the choices from the attatched image, which is true (say, at room temperature)?
- The kinetic energy operator in 3-D is: a. Î= – Invalid element O b. O C. O d. T= ħ2² 2m - ·D2 ħ 2m ħ 2m V VWhich of the following observations is not related to the Pauli Exclusion Principle? O the electronic wave function is antisymmetric with respect to particle exchange O angular momentum is conserved in quantum mechanical systems O if two electrons are in the same orbital, they are spin-paired Ospatial orbitals can contain no more than two electrons