Q-IV: An electron in a wire can be considered as if in one-dimensional infinite potential well. Consider L=0.1 mm long wire; (a) Calculate the ground-sate energy of an electron in such a wire. (b) If the electron's kinetic energy is 30 meV (almost equal to energy of a gas molecule at T=300 K), what will be the electron's quantum number n corresponding to that energy? (c) What will be probability of finding electronic within the interval Ax =0.001L at middle of the wire i.e. x=L/2. Given that wave function (x) = sin " where n=1,2,3,4...