The temperature of the sun is 6000 K and is treated as a black body. The solar heat energy radiated by the sun is `10^(9)W//m^(2)`. What is the temperature of a black body if it radiated heat energy of `10^(5)W//m^(2)` ?

Options

A. `227^(@)C`
B. `27^(@)C`
C. `327^(@)C`
D. `400^(@)C`

Answer

C

Explanation

`R_(1)/R_(2)=(T_(1)/T_(2))^(4)`
`therefore10^(9)/10^(5)=10^(4)=(T_(1)/T_(2))^(4)" "therefore10=T_(1)/T_(2)=6000/T_(2)`
`thereforeT_(2)=600K=327^(@)C`