The entropy of a system of n spins with magnetic moment m, where 2s is the spin excess (n is approximately sigma = ln[g(n, s=0)] - 2s^2/n, for small s and large n. given that the energy of the state with spin excess 2s in a magnetic field b is = -2smb, calculate the average value of the fractional magnetisation, 2(s)/n, as a function of temperature.

Use 4 to 5 complete sentences, explain the concepts of beats and how beats are produces.

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.

Where should a carbon monoxide detector be mounted?