While undergoing a transition from the n = 1 to the n = 2 energy level, a harmon

Question

While undergoing a transition from the n = 1 to the n = 2 energy level, a harmonic oscillator absorbs a photon of wavelength 7.10 ?m .

Part A

What is the wavelength of the absorbed photon when this oscillator undergoes a transition from the n = 2 to the n = 3 energy level?

Express your answer with the appropriate units.

?2?3 = ________

Part B

What is the wavelength of the absorbed photon when this oscillator undergoes a transition from the n = 1 to the n = 3 energy level?

Express your answer with the appropriate units.

?1?3 = ________

Part C

Explanation / Answer

part A) delta E between successive levels = h'w = constant

23 = 1-2 = 7.10 m

Part B) E1-3 = 2E1-2

   SO, 13 = 0.5 23   = 3.55 m

PART C)   w = 2 pi f = 6.28*3*10^8/(7.1*10^-6) = 2.65 x 10^14 rad/s

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