A black metal plate of area is initially at and emits radiation accordingly

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A black metal plate of area

0.50\,\text{m}^2

is initially at

500\,\text{K}

and emits radiation accordingly. It is uniformly heated so that its radiant power output increases by

32\,\text{kW}

. Calculate the new steady temperature of the plate. (Use

\sigma = 5.67\times10^{-8}\,\text{W m}^{-2}\,\text{K}^{-4}