The temperature increase that is necessary to increase the power radiated from an object by a factor of 8 is to increase the temperature by a factor of 1.68.
What is radiation?
Radiation is the emission of energy in the form of waves or particles through space.
The magnitude of radiation emitted by an object is given as;
E = kσT⁴
where;
- k is Boltzmann constant
- σ is the emissivity of the object
- T is temperature
E₁/T₁⁴ = E₂/T₂⁴
T₂⁴ = T₁⁴E₂/E₁
T₂⁴ = T₁⁴(8E₁) / E₁
T₂⁴ = T₁⁴8
T₂ = (T₁⁴8)^(¹/₄)
T₂ = 1.68T₁
Thus, the temperature increase that is necessary to increase the power radiated from an object by a factor of 8 is to increase the temperature by a factor of 1.68.
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