Question: An electron is confined to a linear
An electron is confined to a linear region with a length of the same order as the diameter of an atom (about 100 pm). Calculate the minimum uncertainties in its position and speed.
Answer to relevant QuestionsIn an X-ray photoelectron experiment, a photon of wavelength 121 pm ejects an electron from the inner shell of an atom and it emerges with a speed of 56.9 Mm S-I. Calculate the binding energy of the electron.A particle is in a state described by the wave function Ψ(x) = (2alπ) 1/4c-ax2, where a is a constant and -= Evaluate the expectation values of rand r2 for a hydrogen atom with wave functions given in Problem 8.14Calculate the energy separations in joules, kilojoules per mole, electron volts, and reciprocal centimeters between the levels (a) n = 2 and n = 1, (b) n = 6 and n = 5 of an electron in a box of length 1.0 nm.Calculate the wavelength of a photon needed to excite a transition between neighbouring energy levels of a harmonic oscillator of effective mass equal to that of an oxygen atom (15.9949 u) and force constant 544 N m-1
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