Solution of the Schrödinger equation: Y = Aekx +Be -ikx With A = B
Q: What minimum speed must an electron have to excite the 492-nm wavelength blue emission line? The…
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A: The energy level of a one dimensional box is the lowest energy is for n=1.
Q: hydrogen atom is in its n = 5 state. Find the de Broglie wavelength of its electron.
A: Given : n = 5
Q: Let Ψ (x, t) = (A / (a2 + x2)) exp (-i 2 π E t / h ) be a normalized solution to Schrodinger’s…
A: , this is a normalized wavefunction.
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Q: Using knowledge of electron structure and spacing of energy levels, explain why the energy of…
A: Solution: For hydrogen atoms, energy levels are given by, En=-13.6 eV n2 here, n is some integer…
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A: The wavelength of visible light ranges from 400 nanometers to 700 nanometers, depending on the…
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Q: calculate the deBroglie wavelength (nm) and frequency (Htz) of a 12.4 keV electron
A:
Q: The incident wavelength of 210 nm is used to test the photo electric effect on a sodium metal. The…
A: Given : Incident wavelength, λ = 210 nm Threshold wavelength, λ0 = 325 nm We have to find the…
Q: For a free electron determine the electron's de Broglie wavelength, momentum, kinetic energy and…
A: We have k=50 nm-1=50×109 nm-1k=2πλde Broglie wavelength,λ=2π50×109=1.256×10-10mNow,…
Q: Show that Ψ(x,t)=Ae^i(kx−ωt) is a valid solution to Schrӧdinger’s time-dependent equation.
A: Schrӧdinger’s time-dependent equation is iℏ∂ψ(x,t)∂t=−ℏ22m∂2ψ(x,t)∂x2+V(x,t)ψ(x,t)
Q: hydrogen atom has its electron in the n = 3 level. The radius of the electron's orbit in the Bohr…
A: Mass of electron m = 9.1×10-31 kg Radius r = 0.476 nm = 0.476 × 10-9 m
Q: A proton is trapped in a one-dimensional box of length L. If the zero-point energy is to be 71.0 eV,…
A:
Q: (a) If the work function for a certain metal is 1.9 eV, what is the stopping potential for electrons…
A: Given, λ=504×10-9mϕ0=1.9 eV=1.9×1.6×10-19J=3.04×10-19 J We know, Kmax=hcλ-ϕ0where, λ is the…
Q: What is the wavelength of a Paschen line with n2=7?
A:
Q: 2. A particle of mass m moves in a region whose potential energy is V = V0. a) Show that the wave…
A: The time-dependent Schrodinger equation is given by, -ℏ22md2dx2ψ(x,t)+V(x)ψ(x,t)=iℏ∂∂tψ(x,t) Here…
Q: A proton has the wave function (Capital_Psi)(x) = Ae^(-x/L) with total energy equal to one-seventh…
A: GivenA proton has the wave function ψ(x) = Ae−x/L with total energy equal to one-third its potential…
Q: The smallest observed frequency for a transition between states of an electron in a one-dimensional…
A: GivenThe smallest observed frequency for a transition between states of an electron in a…
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A:
Q: The work function for tungsten (W) is 4.52 eV. What is the maximum Kinetic Energy of emitted…
A: Given :The work function for tungsten (W) is 4.52 eV.wavelength λ = 200 nm
Q: The most probable radius for an electron in the 1s wavefunction is called the Bohr radius (a,) and…
A: Radius of atom.
Q: What is the length of a box in which the minimum energy of an electron is 1.5 x 10-18 J?
A: The energy of a particle in the box is given by, En=n2h28mL2
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- Calculate the de Broglie wavelength (in nm) for a proton with KE = 1 eV Oλ = 0.0287 nm Ол O λ = 2.87 nm Oλ = 28.7 nm λ = 0.287 nmThe Schrödinger equation is +U(x)\» = E½. 2m dx? Starting from the left, identify each term in the equation.A fuel-efficient car is able to convert the chemical potential energy of gasoline into translational kinetic energy at an efficiency of 78.4%. If there is 8742 kJ of chemical potential energy in one tank of gas, what is the amount of translational kinetic energy produced. How to manipulate formula eff=output/input x 100
- The difference in energy between allowed oscillator states in HBr molecules is 0.330 eV. What is the oscillation frequency of this molecule?(a) A hydrogen atom has its electron in the n = 6 level. The radius of the electron's orbit in the Bohr model is 1.905 nm. Find the de Broglie wavelength of the electron under these circumstances. m (b) What is the momentum, mv, of the electron in its orbit? kg-m/s