Calculate surface temperature of planet, if energy radiated by unit area in unit time is 5.67 × 10^

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10-2.Transmission of Heat

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Calculate the surface temperature of the planet, if the energy radiated by unit area in unit time is $5.67 \times 10^4\,watt$ : (Planet may be assumed to black body)

A

$1273\,^oC$

B

$1000\,^oC$

C

$727\,^oC$

D

$727\,K$

Solution

$\mathrm{P}=\sigma \mathrm{AT}^{4}$

Intensity $\frac{\mathrm{P}}{\mathrm{A}}=\sigma \mathrm{T}^{4}$

$\Rightarrow 5.67 \times 10^{4}=5.67 \times 10^{-8} \times \mathrm{T}^{4}$

$\Rightarrow \mathrm{T}^{4}=10^{12}$

$\Rightarrow \mathrm{T}=1000 \mathrm{K}$

$\mathrm{T}=727^{\circ} \mathrm{C}$

Standard 11

Physics

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