An alpha particle (m= 6.64E-27 kg) trapped in the nucleus of an atom can be modelled as a particle moving in a one-dimensional box of width 1.00E-14m. Using this model, calculate:
a) The ground state momentum of the particle.
b) The zero point energy (i.e. lowest energy) of the alpha-particle.
c) The frequency of the photon that could promote the alpha-particle to the second excited state (n=3.
d) Sketch the curve of the probability density for the alpha-particle in the box, for the state n=3.