When the rotation of homonuclear diatomic molecule such as H2 is considered, its motion can be represented by a single point of mass mM2 rotating a radius r equal to one-half of the bond length of the molecule. (1) Calculate the moment of inertia of H2 molecule. (2) Estimate the energies and momentums of the molecule corresponding to the first four quantum levels. (3) What are the z-component angular momentums corresponding to the third quantum level? A particle confined to move on a circle is described by the wave function =(21)1/2eim,mi=(2IE/h2)/2wherem=0,1,2,3,02. (4) Estimate the momentum of the particle, using the quantum mechanical principle with the angular momentum operator. (5) Find the location of the particle in this situation by calculating the probability density. Explain your answer in terms of the uncertainty principle