According to quantum mechanics, the energy of a harmonic oscillator is quantized. That is, it can take on any one of a certain set of values, given by

where h is Planck€™s constant, equal to 6.62608 × 10^ˆ’34 J s, ν is the frequency and v is a quantum number, which can equal 0, 1, 2,€¦The frequency of oscillation of a hydrogen molecule is 1.319 × 10¹⁴ s^ˆ’1. If a classical harmonic oscillator having this frequency happens to have an energy equal to the v=1 quantum energy, find this energy. What is the maximum value that its kinetic energy can have in this state? What is the maximum value that its potential energy can have? What is the value of the kinetic energy when the potential energy has its maximum value?

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E = hv ( v-