For an electron confined on a 1-D conductive wire of (nanoscale) length b, calculate the probability...
Calculate the probability of exciting an electron in a one-dimensional box (actually a nanoscale wire) to the n 2 excited state if the box is 10.0 nm long and the temperature is 410.0 K. For the one- dimensional box, En = n2t2h2/(2ma2) and the levels are non-degenerate (but remember that the energy should be measured relative to the ground state). For this example, T2h/(2mea2) is equal to 1.381- 10 23 JK-1 J and the partition function is 2.44. kB 6.02-10-22...
Consider an electron confined to a two dimensional box with walls of length a and b. If this electron is represented by a standing waves with nodes along box's walls, calculate its energy.
Consider an electron confined to a two dimensional box with walls of length a and b. If this electron is represented by a standing waves with nodes along box's walls, calculate its energy.
A wire is made of an intrinsic semiconductor whose bandgap is 1.0eV. The wire is 0.05microns in diameter and 1 micron long. Electrons have a mobility of 1000/cm V-sec and holes have a mobility of 200/cm V-sec. The effective mass of an electron in the conduction band is 1.2 and that of a hole in the valence band is 0.6. The semiconductor operates at room temperature. a. What is the probability of finding an electron at an energy 0.5eV above...
Given that E= p2/ 2m, show that a particle confined in a 1-D box of length L obeys the Heisenberg uncertainty principle.
1)Which of the following physical manipulations of a system containing a loop of conductive wire and a magnetic field will result in the creation of electric current, thus transforming mechanical work into electrical energy? NOTE: You must provide an explanation for your answer to receive credit. a. Dropping a bar magnet through a loop of wire b. Rotating a loop of wire in an external magnetic field (assume the area vector of the loop and the direction of the magnetic field begin...
Page Two Consider an electron trapped in a 1-D box of length 5.0 nm, and we have determined that the probability of finding the electron in a particular state is represented by the following illustration. Answer the questions below: |Y12 - - - - - - - - - - ЛР - - 5 nm X 1. What is the value of the quantum number in this state? 2. What is the energy of the electron in this state where...
An electron is travelling down a long wire, when it encounters a small gap. The probability of the eletron tunneling through this gap is 1/10,000. What will be the probability of tunneling through if: (a)The width of the gap were to be decreased by a factor of 2? (b) A different metal is used in the wire, one whose work function is twice that of the original wire? (c) The experiment was set up in a different universe, where his...
way U nodal calculate the appropriate integra areas under the curve graphi i probability maxima for (b) Describe the motion of the part UUh atom that is 43. Consider the wave function Val Wis dot structure. (You may priate integrals or estimate the relevant a cubic box. Figure 4 A5a shows plane at 2 = 0.75. curve graphically.) Then recalculate the (a) Convince yourself that the co by approximating the integral as y(xo) Ax, 0.25 would have the same uated...
3. Copper wire #1 has a length L and a radius b. Copper wire #2 has a length 2L and a radius 2b. Which statement is true? (a) The total resistance of wire #1 is twice as high as that of wire #2. (b) The total resistance of wire #1 is equal to that of wire #2. ( The total resistance of wire #1 is half that of wire #2. (d) The total resistance of wire #1 is four times...