The radii of atomic nucleiare of the order of 5.0 * 10^-15 m. (a) Estimate the minimumuncertainty in the momentum of an electron if it is confined withina nucleus. (b) Take this uncertainty in momentum to be an estimateof the magnitude of the momentum. Use the relativistic relationshipbetween energy and momentum, Eq. (37.39), to obtain an estimateof the kinetic energy of an electron confined within a nucleus.(c) Compare the energy calculated in part (b) to the magnitude of theCoulomb potential energy of a proton and an electron separated by5.0 * 10^-15 m. On the basis of your result, could there be electronswithin the nucleus?
The radii of atomic nucleiare of the order of 5.0 * 10^-15 m. (a) Estimate the minimumuncertainty in the momentum of an electron if it is confined withina nucleus. (b) Take this uncertainty in momentum to be an estimateof the magnitude of the momentum. Use the relativistic relationshipbetween energy and momentum, Eq. (37.39), to obtain an estimateof the kinetic energy of an electron confined within a nucleus.(c) Compare the energy calculated in part (b) to the magnitude of theCoulomb potential energy of a proton and an electron separated by5.0 * 10^-15 m. On the basis of your result, could there be electronswithin the nucleus?
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The radii of atomic nuclei
are of the order of 5.0 * 10^-15 m. (a) Estimate the minimum
uncertainty in the momentum of an electron if it is confined within
a nucleus. (b) Take this uncertainty in momentum to be an estimate
of the magnitude of the momentum. Use the relativistic relationship
between energy and momentum, Eq. (37.39), to obtain an estimate
of the kinetic energy of an electron confined within a nucleus.
(c) Compare the energy calculated in part (b) to the magnitude of the
Coulomb potential energy of a proton and an electron separated by
5.0 * 10^-15 m. On the basis of your result, could there be electrons
within the nucleus?
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