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Wave Properties of particles. Schrodinger Equation.

Problem 6.67

Employing the uncertainty principle, evaluate the indeterminancy of the velocity of an electron in a hydrogen atom if the size of the atom is assumed to be l=0.10nml=0.10 \mathrm{nm}. Compare the obtained magnitude with the velocity of an electron in the first Bohr orbit of the given atom.

Reveal Answer
Δv≈ℏ/ml=1⋅106 m/s;v1=2.2⋅106 m/s\Delta v \approx \hbar / m l=1 \cdot 10^{6} \mathrm{~m} / \mathrm{s} ; v_{1}=2.2 \cdot 10^{6} \mathrm{~m} / \mathrm{s}
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