A circular metal plate of radius behaves like a grey body with emissivity

PHYSICS · Multi-part · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A circular metal plate of radius

10\,\text{cm}

behaves like a grey body with emissivity

0.70

. Its peak emission occurs at

\lambda_{\max}=2.0\,\mu\text{m}

. Take

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

and

b = 2.898\times10^{-3}\,\text{m\,K}

. (i) Determine the absolute temperature of the plate. (ii) Calculate the total power radiated from one face of the plate.