Q:1 Find the temperature at which rate of spontaneous Emission is 3/4th of stimulated emission, Given lambda =700nm. (05 Marks)
Q:2 Find the temperature where no. of atoms in excited state are 10^4 times as compared to lower excited state. Given energy difference between two levels is 5eV. (05 Marks)
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Answer:
Q:1 Stimulated emission is the process by which an incoming photon of a specific frequency can interact with an excited atomic electron (or other excited molecular state), causing it to drop to a lower energy level. The liberated energy transfers to the electromagnetic field, creating a new photon with a frequency, polarization, and direction of travel that are all identical to the photons of the incident wave. This is in contrast to spontaneous emission, which occurs at a characteristic rate for each of the atoms/oscillators in the upper energy state regardless of the external electromagnetic field.
Q: 2 In science, specifically statistical mechanics, a population inversion occurs while a system (such as a group of atoms or molecules) exists in a state in which more members of the system are in higher, excited states than in lower, unexcited energy states. It is called an "inversion" because in many familiar and commonly encountered physical systems, this is not possible. This concept is of fundamental importance in laser science because the production of a population inversion is a necessary step in the workings of a standard laser.
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Answers1. The rate of stimulated emission processes for an excited atom can be calculated as the product of the so-called emission cross section and the photon flux density (number of photons per unit area and time).