Consider the collision N 2 (i) Ar N 2 (j) Ar where i and j are the vibrational quantum numbers of N 2 Assume that N 2 is a harmonic oscillator with frequency 7 0810 13 s 1 If the initial velocity of N 2 has a magnitude of 1 410 3 m s 1 and the initial velocity of Ar has a magnitude of 2 010 3 m s 1...

Step 1 Energy for a harmonic oscillator is giv ...

Consider the collision: N 2 (i) + Ar N 2 (j) + Ar where i and

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Question:

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