In this problm we will test the quantum mechanical Virial Theorem for harmonic oscillator. The Virial Theorem states that for a system with potential energy V(r)=Ar" (where 4 and # are some constants), n (r)=2() where (T) is expectation (average) value of the kinetic energy, and (V) is expectation value of the potential energy. For a harmonic oscillator in its ground state, a) Evaluate the expectation value of b) Calculate the expectation value of kinetic energy (T) ) Verify that the Virial Theorem is satisfied for harmonic oscillator, for which = 2