How Einstein’s A & B coefficients are related with each other, derive the expression?

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How Einstein’s A & B coefficients are related with each other, derive the expression?

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A point P is 50 mm away from both the reference planes. Draw its all possible projections.

State the quadrants in which the following points lie. (i) P, its Top view is 40 above x-y; its FV 20 below the top view (ii) Q, both of its views coincide at a point 40 below x-y.

Calculate the probability of an electron occupying an energy level 0.02 eV above the Fermi level at 200 K and 400 K in a material.

Find the probability with which an energy level 0.02 eV below the Fermi level will be occupied at room temperature of 300 K and at 1000 K.