A black body A at a temperature of `527^(@)C`, emits radiant energy at the rate of 16 watt. Another black body B at temperature `127^(@)C`, emits radiant energy at the rate 8 watt in the same surrounding. Compare the surface areas of A and B.

Options

A. `1 : 4`
B. `1 : 8`
C. `2 : 1`
D. `4 : 1`

Answer

B

Explanation

`P_(1)/P_(2)=(sigmaA_(1)T_(1)^(4))/(sigmaA_(2)T_(2)^(4))`
`thereforeA_(1)/A_(2)=(P_(1)T_(2)^(4))/(P_(2)T_(1)^(4))=16/8xx(400/800)^(4)=1/8`