1.Convert $37^\circ\text{C}$ (human body temperature) to Fahrenheit and Kelvin scales.
Sol: $F = \frac{9}{5}(37) + 32 = 66.6 + 32 = 98.6^\circ\text{F}$. $K = 37 + 273.15 = 310.15\text{ K}$.
2.State Newton's Law of Cooling and write its mathematical formula.
Sol: Rate of loss of heat is proportional to temperature difference from surroundings: $\frac{dQ}{dt} = -k (T - T_0) \implies \frac{dT}{dt} = -K (T - T_0)$.
3.State Stefan-Boltzmann Law for blackbody radiation.
Sol: Total emissive power $E = \sigma T^4$, where $\sigma = 5.67 \times 10^{-8}\text{ W/m}^2\text{K}^4$.
4.State Wien's Displacement Law with mathematical relationship $\lambda_m T = b$.
Sol: Peak emission wavelength is inversely proportional to absolute temperature: $\lambda_m T = b = 2.898 \times 10^{-3}\text{ m}\cdot\text{K}$.
