1-Perform the following calculations regarding an electron: a) Determine the wavelength when the electron is moving at the speed of light. b) If the electron is confined to a box measuring 4 pm, compute the uncertainty in its momentum. c) Evaluate whether this uncertainty is a significant deviation from the electron's momentum value

2-Consider a particle of a mass 6 m is in a region where its potential energy is given by kr^2 +c (k and c are constants, and r is a coordinate of a particle). Write down the corresponding Schrodinger equations in 1 dimension and 3 dimensions

As d2 do2 X d2 4. Determine if the function f=2x2+6y2+5z3 is an eigenfunction of the operator dy? dz5. Normalize the wavefunction _2 ma) 'P=Nre\"' for 0