The Heisenberg uncertainty relations. the equation Schrodinger: Wave properties

Question

The Heisenberg uncertainty relations. the equation Schrodinger: Wave properties of microparticles. the hypothesis and the de Broglie. the Heisenberg uncertainty relations. Wavefunction, its statistical meaning. Stationary Schrodinger equation. Particle in one-dimensional Rectangular "potential well". Find the de Broglie wavelength of electrons with kinetic energy 2.0 keV. A beam of aluminum atoms is used to dope a semiconductor chip to set it electrical properties. If the atoms' velocity is known to within 0.2 m/s, how accurately can they be positioned? Find the minimum energy for a neutron in a uranium nucleus whose diameter is 15 fm. typically, an atom remains in an excited state for about 10^-8 s before it drops to a lower state, emitting a photon in the process. What's the uncertainty in the energy of this transition?

Explanation / Answer

Solving first question

We know for debroglie wavelength

Wavelength=hc/pc

And we know pc=sqrt(2*KE*mc*c)

Since we know KE and m of electron we got

Wavelength=2.7*10(-11) m

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