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4. A proton is in a box of width L. What must the width of the box be for the ground-level energy to be 5.0 MeV, a typical value for the energy with which the particles in a nucleus are bound? Compare your result to the size of a nucleus--that is, on the order of 10 -** m. 5. Consider a particle moving in one dimension, which we shall call the x-axis (a) What does it mean for the wave function of this particle to be normalized? (b) Is the wave function(x) = where a is a positive real number, normalized? Could this be a valid wave function? (c) If the particle described by the wave function (x) = Ae- where A and b are positive real numbers, is confined to the range * 20. determine A (including its units) so that the wave function is normalized 6. (8) Find the excitation energy from the ground level to the third excited level for an electron confined to a box of width 0.360 nm. (b) The electron makes a transition from the n=1 to n = 4 level by absorbing a photon Calculate the wavelength of this photon.