A body at `300^(@)C` radiates `10^(5)` watt/`m^(2)`. If the sun radiates `10^(9)` watt/`m^(2)`, then its temperature will be (if both bodies are considered as black)

Options

A. 5730 K
B. `5457^(@)C`
C. `3000^(@)C`
D. both 'a' and 'b'

Answer

D

Explanation

`(R_(2))/(R_(1))=(T_(2)^(4))/(T_(1)^(4))=((573)/(T))^(4)`
`therefore T^(4)=(R_(1))/(R_(2))(573)^(4)`
`therefore T^(4)=(R_(1))/(R_(2))(573)^(4)`
`T=5730K` or `5457^(@)C`.