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Consider the collision: N 2 (i) + Ar N 2 (j) + Ar where i and j are the vibrational quantum numbers of N

Consider the collision:

N₂(i) + Ar → N₂(j) + Ar

where i and j are the vibrational quantum numbers of N₂. Assume that N₂ is a harmonic oscillator with frequency 7.08×10¹³ s⁻¹ . If the initial velocity of N₂ has a magnitude of 1.4×10³m s⁻¹ and the initial velocity of Ar has a magnitude of 2.0×10³ m s⁻¹ , what is the maximum value of j if:

(a) i = 0

(b) i = 2

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