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(2) An electron of mass 9.11 x 10-31 kg in the ground state is trapped inside a one-dimensional box of width L=1x 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 = 00 outside the box (for r <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.) %3D %3D

(2) An electron of mass 9.11 x 10-31 kg in the ground state is trapped inside a one-dimensional box of width L=1x 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 = 00 outside the box (for r <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.) %3D %3D

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(2) 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 x > L). If the width of the box is reduced by 1/2, how many eV (where 1 eV 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.) = o outside the box (for x <0 and = 1 electron-volt = %3D
Transcribed Image Text:(2) 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 x > L). If the width of the box is reduced by 1/2, how many eV (where 1 eV 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.) = o outside the box (for x <0 and = 1 electron-volt = %3D
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