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Estimate the lifetime (in picoseconds) of a quantum state that gives rise to a line of...
2. Estimate the lifetime of the excited state of an atom whose natural emission line width...
2. Estimate the lifetime of the excited state of an atom whose natural emission line width is 3.00 x 10-4 eV.
The transition from the excited state 3Li:1s22p1 to the basic state in lithium 3Li:1s 2s1 gives...
The transition from the excited state 3Li:1s22p1 to the basic state in lithium 3Li:1s 2s1 gives two fine structure lines with wavelength 21,and 12, 12> 21 The energy difference between the fine structure levels in this excited state is A= 0,345 cm For all the fine structure levels involved in the basic state and in the excited state: D) Write the possible values of the quantum numbers L, S and J II) Calculate spin-orbit interaction. express your answer in hcA...
If the quantum state of an electron is specified by (n, l, me, mz), estimate the...
If the quantum state of an electron is specified by (n, l, me, mz), estimate the energy difference between the states (1, 0, 0, – ) and (1, 0, 0, +) of an electron in the 1 s state of helium in an external magnetic field of 2.5 T. Express your answer using two significant figures. ΟΙ ΑΣφ ? AU= eV Submit Request Answer
1. Given the following wavefunction for the ground state of a finite quantum well of width 2nm, g...
1. Given the following wavefunction for the ground state of a finite quantum well of width 2nm, ground state energy of E1=0.05eV -A cos(kx) and ψ,-Beax A.) Find the values of k and a (remember to keep the wavefunction continuous and smooth)[10ptsl B.) Find the normalization constants A and B (you will need to find k first of course) [10pts] C.) Determine the barrier energy from the decay constant a? [5pts D.)If the well were replaced with a semi-infinite well...
Special Problem (20 pts) Consider an undoped AljGa7As/GaAs/ Al3Ga7As quantum well (QW) of width W...
Special Problem (20 pts) Consider an undoped AljGa7As/GaAs/ Al3Ga7As quantum well (QW) of width W-15 nm. (a) Due the quantum mechanical confinement in the quantum well, the lowest energy states of in the conduction band is no longer the conduction band edge, but the CB edge plus the confined state energy (particle in the box problem), where the confinement energy relative to the CB edge is given by the solutions for infinite barriers where n-1,2,.is the quantum number, n-1 is...
1. Given the Sun's lifetime is about 10 billion years, estimate the lifetime of stars with...
1. Given the Sun's lifetime is about 10 billion years, estimate the lifetime of stars with (a)0.2-solar mass, (-5 x 10yr) (b) 3.0 solar mass, (4 x 10 yr) (c)10.0-solar mass x 10 yr) 2. A star is lying 20 pc from the Sun. The star's position on the sky is observed to move 5 arc sec per year relative to background stars. What is the star's transverse (perpendicular to the line of sight) velocity? If the observed red-shift is...
3) Insulating a Cold Fluid Line This is a steady-state problem, and latent heat eonsiderations do...
3) Insulating a Cold Fluid Line This is a steady-state problem, and latent heat eonsiderations do not matter As show in Fig. (a), an uninsulated hose of outer radius r1 cm is used to transfer a liquid refrigerant at a 273 K Tice r 1 cm uniform temperature T 265 K. Since the hose is uninsulated, the outer surface is also at 265 K. Because the outer surface of the hose is below the melting point of water, a layer...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of...
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E . Consider an imaginary cylinder with radius e-25 cm and length L = 40 cm that has an infinite line of positive charge running along its axis. The charge per unit length is 3 HC/m. Do not use Gauss's Law, but actually calculate the flux! a) What is the electric flux through the cylinder...
Problem 3-3. ate Conditions on a Transmission Line Steady-State Conditions on a Line Cha Chap. 3...
Problem 3-3.
ate Conditions on a Transmission Line Steady-State Conditions on a Line Cha Chap. 3 JE! 11 RMS voltage and current 2X 31/2 x 1/2 Figure 3-36 Standing waves on a lossy transmission line. PROBLEMS 2.1. The characteristic impedance (20) of a lossy transmission line depends on whil of the following? (a) Length of the line. (b) Frequency of the applied signal. (c) Dielectric constant of the insulation. (d) Load at the end of the line. (e) Separation and...
2. Estimate the lifetime of the excited state of an atom whose natural emission line width is 3.00 x 10-4 eV.
The transition from the excited state 3Li:1s22p1 to the basic state in lithium 3Li:1s 2s1 gives two fine structure lines with wavelength 21,and 12, 12> 21 The energy difference between the fine structure levels in this excited state is A= 0,345 cm For all the fine structure levels involved in the basic state and in the excited state: D) Write the possible values of the quantum numbers L, S and J II) Calculate spin-orbit interaction. express your answer in hcA...
If the quantum state of an electron is specified by (n, l, me, mz), estimate the energy difference between the states (1, 0, 0, – ) and (1, 0, 0, +) of an electron in the 1 s state of helium in an external magnetic field of 2.5 T. Express your answer using two significant figures. ΟΙ ΑΣφ ? AU= eV Submit Request Answer
1. Given the following wavefunction for the ground state of a finite quantum well of width 2nm, ground state energy of E1=0.05eV -A cos(kx) and ψ,-Beax A.) Find the values of k and a (remember to keep the wavefunction continuous and smooth)[10ptsl B.) Find the normalization constants A and B (you will need to find k first of course) [10pts] C.) Determine the barrier energy from the decay constant a? [5pts D.)If the well were replaced with a semi-infinite well...
Special Problem (20 pts) Consider an undoped AljGa7As/GaAs/ Al3Ga7As quantum well (QW) of width W-15 nm. (a) Due the quantum mechanical confinement in the quantum well, the lowest energy states of in the conduction band is no longer the conduction band edge, but the CB edge plus the confined state energy (particle in the box problem), where the confinement energy relative to the CB edge is given by the solutions for infinite barriers where n-1,2,.is the quantum number, n-1 is...
1. Given the Sun's lifetime is about 10 billion years, estimate the lifetime of stars with (a)0.2-solar mass, (-5 x 10yr) (b) 3.0 solar mass, (4 x 10 yr) (c)10.0-solar mass x 10 yr) 2. A star is lying 20 pc from the Sun. The star's position on the sky is observed to move 5 arc sec per year relative to background stars. What is the star's transverse (perpendicular to the line of sight) velocity? If the observed red-shift is...
3) Insulating a Cold Fluid Line This is a steady-state problem, and latent heat eonsiderations do not matter As show in Fig. (a), an uninsulated hose of outer radius r1 cm is used to transfer a liquid refrigerant at a 273 K Tice r 1 cm uniform temperature T 265 K. Since the hose is uninsulated, the outer surface is also at 265 K. Because the outer surface of the hose is below the melting point of water, a layer...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
Problem A.1 - Calculate electric flux f5) The electric field due to an infinite line of charge is perpendicular to the line and has magnitude E . Consider an imaginary cylinder with radius e-25 cm and length L = 40 cm that has an infinite line of positive charge running along its axis. The charge per unit length is 3 HC/m. Do not use Gauss's Law, but actually calculate the flux! a) What is the electric flux through the cylinder...
Problem 3-3.
ate Conditions on a Transmission Line Steady-State Conditions on a Line Cha Chap. 3 JE! 11 RMS voltage and current 2X 31/2 x 1/2 Figure 3-36 Standing waves on a lossy transmission line. PROBLEMS 2.1. The characteristic impedance (20) of a lossy transmission line depends on whil of the following? (a) Length of the line. (b) Frequency of the applied signal. (c) Dielectric constant of the insulation. (d) Load at the end of the line. (e) Separation and...
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