(a) Show that for a perfect blackbody the total power emitted per unit area can be…

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

(a) Show that for a perfect blackbody the total power emitted per unit area

E

can be written in the form

E=\frac{K}{\lambda_{\max}^{4}},

where

K

is a constant. (b) Using

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

and

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

, calculate the numerical value of

K

correct to three significant figures and state its SI units.