Question

An electron of mass 9.11 !! 10^{-31} kg in the ground state is trapped inside a one-dimensional box of width L = 1 !! 10^{-10} meters (about the size of an atom). In other words, the potential energy U(x) = 0 inside the box (between 0 ? x ? L), but U = ? outside the box (for x < 0 and x > L). If the width of the box is reduced by 1/2, how many eV (where 1 eV = 1 electron-volt = 1 electron volt) will be the energy of the electron inside the box? (This shows that the particle-in-a-box model works approximately for electrons in single-electron atom, assuming no ionization.)

          An electron of mass 9.11 !! 10^{-31} kg in the ground state is trapped inside a one-dimensional box of width L = 1 !! 10^{-10} meters (about the size of an atom). In other words, the potential energy U(x) = 0 inside the box (between 0 ? x ? L), but U = ? outside the box (for x < 0 and x > L). If the width of the box is reduced by 1/2, how many eV (where 1 eV = 1 electron-volt = 1 electron volt) will be the energy of the electron inside the box? (This shows that the particle-in-a-box model works approximately for electrons in single-electron atom, assuming no ionization.)

An electron of mass 9.11 !! 10^-31 kg in the ground state is trapped inside a one-dimensional box of width L = 1 !! 10^-10 meters (about the size of an atom). In other words, the potential energy U(x) = 0 inside the box (between 0 ? x ? L), but U = ? outside the box (for x < 0 and x > L). If the width of the box is reduced by 1/2, how many eV (where 1 eV = 1 electron-volt = 1 electron volt) will be the energy of the electron inside the box? (This shows that the particle-in-a-box model works approximately for electrons in single-electron atom, assuming no ionization.)

Added by Peter R.

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