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Physics

Solar Energy

A black body ...

Question

A black body at a temperature $77^{o} C$ radiates heat at a rate of $10 c a l c m^{- 2} s^{- 1}$ . The rate at which this body would radiate heat in units of $c a l c m^{- 2} s^{- 1}$ at $427^{o} C$ is closest to:

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160

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200

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400

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Solution

The correct option is B 160
Energy radiated $P = σ A T^{4}$
$\frac{P_{1}}{P_{2}} = \frac{T_{1}^{4}}{T_{2}^{4}} = {(\frac{350}{700})}^{4} = \frac{10}{P_{2}} o r P_{2} = 160$

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A black body at a temperature 77oC radiates heat at a rate of 10calcm−2s−1. The rate at which this body would radiate heat in units of cal cm−2 s−1 at 427oC is closest to:

The correct option is B 160Energy radiated P=σAT4P1P2=T41T42=(350700)4=10P2 orP2=160

A black body at a temperature $77^{o} C$ radiates heat at a rate of $10 c a l c m^{- 2} s^{- 1}$ . The rate at which this body would radiate heat in units of $c a l c m^{- 2} s^{- 1}$ at $427^{o} C$ is closest to:

The correct option is B 160
Energy radiated $P = σ A T^{4}$
$\frac{P_{1}}{P_{2}} = \frac{T_{1}^{4}}{T_{2}^{4}} = {(\frac{350}{700})}^{4} = \frac{10}{P_{2}} o r P_{2} = 160$