- word_count: 200
All bodies above 0 K emit thermal radiation (electromagnetic waves). Stefan-Boltzmann law: for a body of emissivity (0 to 1), area , at temperature . The constant W m K. Net radiation in surroundings at : .
Wien's displacement law: m K — hotter objects emit at shorter wavelengths. The Sun (5800 K) peaks at 500 nm (visible); human body (310 K) peaks at 9.4 micrometers (infrared).
Kirchhoff's law: at thermal equilibrium, emissivity = absorptivity (). Good absorbers are good emitters. A blackbody () is the ideal case.
Key radiation scaling: means small temperature increases cause large power changes. Doubling absolute temperature gives 16x radiation. Critical trap in JEE: always convert to Kelvin before using radiation formulas — 27 degrees C = 300 K, not 27 K.
Cooling rate of a sphere: — smaller bodies cool faster (higher surface-to-volume ratio).