A neutron with a potential energy of U = 0 is represented by the wave function y = Ae(kx - ot) where k = 5.23 x 1010 m-1. (a) What is the momentum (in kg · m/s) of the neutron? kg · m/s (b) What is the kinetic energy (in ev) of the neutron? ev (c) We wish to verify if the given wave function is a solution to Schrödinger's equation. To do this, calculate the following. (Use the following as necessary: k, a, x, t and A. Do not substitute numerical values; use variables only.) dự dx dx2 Substitute the above two results into Schrödinger's equation and solve for the energy of the particle. (Use the following as necessary: h, k, m, w, x, t and A. Do not substitute numerical value use variables only.) E = Calculate the energy (in ev) of the neutron.
A neutron with a potential energy of U = 0 is represented by the wave function y = Ae(kx - ot) where k = 5.23 x 1010 m-1. (a) What is the momentum (in kg · m/s) of the neutron? kg · m/s (b) What is the kinetic energy (in ev) of the neutron? ev (c) We wish to verify if the given wave function is a solution to Schrödinger's equation. To do this, calculate the following. (Use the following as necessary: k, a, x, t and A. Do not substitute numerical values; use variables only.) dự dx dx2 Substitute the above two results into Schrödinger's equation and solve for the energy of the particle. (Use the following as necessary: h, k, m, w, x, t and A. Do not substitute numerical value use variables only.) E = Calculate the energy (in ev) of the neutron.
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Transcribed Image Text:A neutron with a potential energy of U = 0 is represented by the wave function y = Ae'(kx – ot) where k = 5.23 × 1010 m-1.
(a) What is the momentum (in kg · m/s) of the neutron?
kg • m/s
(b) What is the kinetic energy (in eV) of the neutron?
ev
(c) We wish to verify if the given wave function is a solution to Schrödinger's equation. To do this, calculate the following. (Use the following as necessary: k, w, x, t and A. Do not substitute
numerical values; use variables only.)
dự
dx
d?w
dx2
Substitute the above two results into Schrödinger's equation and solve for the energy of the particle. (Use the following as necessary: h, k, m, w, x, t and A. Do not substitute numerical values;
use variables only.)
E =
Calculate the energy (in eV) of the neutron.
ev
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