The density of the electron states in a metal can be written as g(E) = AE^(1/2), where is a constant and is measured from the bottom of the conduction band.
Derive the total number of states in this material and calculate the fraction of conduction electrons ƒ within KT of the Fermi energy for molybdenum at 300 K. Hints: Use the approximation (1- KT/Eꜰ)^(3/2) ≈ 1-(3/2)KT Eꜰ^(1/2).
Calculate the Fermi energy for this metal at 0 K using the expression for the density of electron states. Assume the electronic structure contains 1 electron per atom.

What do radio waves and microwaves have in common? both are at the side of the spectrum that has the shortest wavelengths. both are at the side of the spectrum that has the lowest radiant energy. both are at the side of the spectrum that has the lowest frequency. both are found next to visible light on the electromagnetic spectrum.

Under conditions for which the same room temperature is maintained by a heating or cooling system, it is not uncommon for a person to feel chilled in the winter but comfortable in the summer. provide a plausible explanation for this situation (with supporting calculations) by considering a room whose air temperature is maintained at 20â°c throughout the year, while the walls of the room are nominally at 27â°c and 14â°c in the summer and winter, respectively. the exposed surface of a person in the room may be assumed to be at a temperature of 32â°c throughout the year and to have an emissivity of 0.90. the coefficient associated with heat transfer by natural convection between the person and the room air is approximately 2 w/m2 â‹…â‹… k. what is the ratio of the thermal resistance due to convection to the thermal resistance due to radiation in the summer? what is the ratio of thermal resistances in the winter

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