Problem

In the hydrogen atom, the electron’s orbit, not necessar­ily circular, extends to a distan...

In the hydrogen atom, the electron’s orbit, not necessar­ily circular, extends to a distance of about an angstrom (1 Å = 0.1 nm) from the proton. If it is to move about as a compact classical particle in the region where it is confined, the electron's wavelength had better always be much smaller than an angstrom. Here we investigate how large might be the electron’s wavelength. If orbiting as a particle, its speed at 1 Å could be no faster than that for circular orbit at that radius. Why? Find the cor­responding wavelength and compare it to 1 A. Can the atom be treated classically?

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