A perfectly black body emits a radiation at temperature 'T ₁ ' K. If it is to radiate at 16 times this power, its temperature 'T ₂ ' K should be (a) 8T ₁ (b) 4T ₁ (c) 2T ₁ (d) 16T ₁

Answer: (c). P ∝ T⁴; (P₂)/(P₁) = 16 (T₂)/(T₁) = 161/4 = 2 So the answer is (c) 2T₁.

A perfectly black body emits a radiation at temperature 'T ₁ ' K. If… | MHT CET 2021 (20 Sep, Shift 1)

Q89MHT CET 2021 · 20 SEP · SHIFT 1Easy

Thermal Radiation: Black Body, Stefan & Wien

A perfectly black body emits a radiation at temperature 'T $_{1}$ ' K. If it is to radiate at 16 times this power, its temperature 'T $_{2}$ ' K should be

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Answer: (c)

$P \propto T^4$ ; $\dfrac{P_2}{P_1} = 16$
$\dfrac{T_2}{T_1} = 16^{1/4} = 2$
So the answer is (c) $2T_1$ .

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