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Please show all work. Thank you! Question:A 10-cm-long glass rod contains erbium

ID: 1484892 • Letter: P

Question

Please show all work. Thank you!

Question:A 10-cm-long glass rod contains erbium atoms, having electrons that are maintained by a pump-energy source in a state whose energy is 1.32 × 10^19 J higher than the ground electron state. By the Planck relation, this energy difference corresponds to infrared light with frequency 2.0 × 10^14 Hz. When light of this frequency passes once through the rod, it becomes amplified by a gain factor equal to 1.09. If a light pulse initially contains 3 × 10^10 photons, and then passes through the rod 85 times, how many photons will it have?

Explanation / Answer

no. of photon = 3 x 1010 x (1.09)85 = 4553.796088 x 1010

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