Derive the Compton shift equation, by applying conservation principles for energy and momentum to the collision shown in the figure below. Assume that the electron is free and initially at rest
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Derive the Compton shift equation, by applying conservation principles for energy and momentum to the collision shown in the figure below. Assume that the electron is free and initially at rest
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- What is the relation between the de Broglie wavelength λ, mass m, and kinetic energy K for (a) a lowenergy proton, and (b) a very high energy proton?Electrons with a speed of 2.6 x 106 m/s pass through a double-slit apparatus. Interference fringes are detected with a fringe spacing of 5.8 mm. What will the fringe spacing be if the electrons are replaced by neutrons with the same speed? What speed must neutrons have to produce interference fringes with a fringe spacing of 5.8 mm?A particle is confined in a box of length L. The momentum is quantized and we find that the lowest possible value of the momentum for a particle in that box is 1.3 E-24 kg.m2/s. What is the length of the box? Express your answer in Angstroms (1E-10 m)
- A particle cannot generally be localized to distances much smaller than its de Broglie wavelength. This fact can be taken to mean that a slow neutron appears to be larger to a target particle than does a fast neutron in the sense that the slow neutron has probabilities of being found over a larger volume of space. For a thermal neutron at room temperature of 300 K, find (a) the linear momentum and (b) the de Broglie wavelength. (c) State how this effective size compares with both nuclear and atomic dimensions.For photons of energy 8.00 eV, what stopping potential would be required to arrest the current of photoelectrons?Calculate the following energies: the scattered gamma ray following a Compton interaction of a 140 keV gamma ray in which the scattering angle 0 is 45°.
- An electron in a hydrogen atom failing from an excited state (n=7) to a relaxed state has the same wavelength as an electron moving at a speed of 7281 m/s. Determine the relaxed orbit that this electron relaxed to.Does the Thomson model fail at large scattering angles or at small scattering angles? Why?Electrons with a speed of 1.1×106 ms-1 pass through a double-slit apparatus. Interference fringes are detected with a fringe spacing of 2.0 mm. What will the fringe spacing be if the electrons are replaced by neutrons with the same speed?