If the surface temperature of hot body is doubled, then rate of radiation energy emitted will be enhanced by a factor of
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Always remember that radiation heat transfer scales with the fourth power of absolute temperature ($T^4$):
- Temperature doubled ($2T$) $\implies$ Radiation increases by $2^4 = 16$ times.
- Temperature tripled ($3T$) $\implies$ Radiation increases by $3^4 = 81$ times.
- Temperature quadrupled ($4T$) $\implies$ Radiation increases by $4^4 = 256$ times.
This non-linear scaling makes radiation the dominant mode of heat transfer at high temperatures.