In this question, we will consider the vibration of the diatomic molecule, H2, found in aneigenstate whose wave function is1/41p(x)V48 \Twhere a = ku/ħ. k is the force constant and u is the reduced mass. The vibrationalfrequency of H2 is 4401 cm-'.а)How many nodes are present in p(x)?b)What is the quantum number that characterizes p(x)?c)Calculate the vibrational energy of the H2 molecule when it is described by theeigenfunction p(x).

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