How to solve (III), (IV)&(V)

(iii) Show that the wave function of the particle in the potential well is n (iv) (v) V , (x)=Csin n=1,2,3,... = L By normalisation, determine the value of C. Prove that the energy of the particle inside the potential well is quantised. [Hint: sine = (1 + sin 20). : = 1] 2