Exam 39: More About Matter Waves

Two one-dimensional traps have infinite potential energy at their walls.Trap A has width L and trap B has width 2L.For which value of the quantum number n does a particle in trap B have the same energy as a particle in the ground state of trap A?

A particle is confined by finite potential energy walls to a one-dimensional trap from x = 0 to x = L.Its wave function in the region x > L has the form:

An electron is trapped in a deep well with a width of 0.3 nm.If it is in the state with quantum number n = 3 its kinetic energy is:

When a hydrogen atom makes the transition from the second excited state to the ground state (at -13.6 eV)the energy of the photon emitted is:

The diagram shows the energy levels for an electron in a certain atom.Of the transitions shown, which represents the emission of a photon with the most energy?