12. (a) for the motion of a particle in an one-dimensional rigid box of side '0, show that at the ground state (n = 1), the most probable position of the partic

12. (a) For the motion of a particle in an one-dimensional rigid box of side '0, show that at the ground state (n = 1), the most probable position of the particle is at x = o/2. (b) if R and T be the reflection and transmission coefficients for a particle through a potential step of height Vo, 6 then for EVo, show that R +T=1.