Question

The nuclear potential energy that binds protons and neutrons in a nucleus is often approximated by a square well. Imagine a proton confined in an infinitely high square well of length 10.3 fm, a typical nuclear diameter. Assuming the proton makes a transition from the n = 3 state to the ground state, calculate the following. (a) the energy of the emitted photon (b) the wavelength of the emitted photon (c) Identify the region of the electromagnetic spectrum to which this wavelength belongs. { 15.4 MeV, 80.3 fm, Gamma ray}

Answer 1

Energy of a particle in an infinitely high square well is

Length of square well

Mass of proton

Proton makes transition from to

a) Energy of emitted photon is

b) Wavelngth of emitted photon

c)

Region of spectrum where is Gamma radiation.

The rays are Gamma rays.