First slide

Radiation

Question

For a black body at temperature 727°C, its radiating power is 60W and temperature of surrounding is 227° C. If temperature of black body is changed to 1227°C, then its
radiating power will be :

Difficult

A

304 W
B

320 W
C

240 W
D

120 W

Solution

$∵ P \infty (T^{4} - T_{0}^{4}) ∴ \frac{P_{2}}{P_{1}} = \frac{1500^{4} - 500^{4}}{1000^{4} - 500^{4}} = \frac{500^{4} (3^{4} - 1)}{500^{4} (2^{4} - 1)} = \frac{80}{15} .$

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