The Glowing Mushroom Cloud · AI Generator #GEN-0ADA8933

Physics · modern-physics

Problem

During the Trinity nuclear test in 1945, physicists observed that the initial fireball glowed with an intense white light before the characteristic mushroom cloud formed. This glow was primarily due to blackbody radiation from the extremely hot plasma created by the nuclear reaction. Assume the fireball can be modeled as a perfect blackbody sphere with radius R=100  mR = 100\;\text{m} and surface temperature T=6000  KT = 6000\;\text{K} (similar to the Sun's surface temperature). The Stefan-Boltzmann constant is σ=5.67×10−8  W⋅m−2⋅K−4\sigma = 5.67 \times 10^{-8}\;\text{W}\cdot\text{m}^{-2}\cdot\text{K}^{-4}. Calculate the total power radiated by this fireball.

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