If a diatomic particle of condensed mass which is having 4.65x10-23 g represented as a harmonic oscillator with a force constant of 335N/m, the state of the molecule is illustrated by the vibrational harmonic oscillator wave function Ψ 2.
1. If more than one value is possible, calculate the probability of obtaining each value?
2. Calculate the average of the energy?
3. If the wave function is given by Ψ 2=N(4x2-2)e-x^2/2 where N is the normalization constant. At what position x is the diatomic molecule least likely to be found? Discuss in detail.