Derive an expression for the radius of a spherical blackbody that radiates a total…

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

Problem

Derive an expression for the radius

R

of a spherical blackbody that radiates a total power

P

and has its peak emission at wavelength

\lambda_{\max}

. Express your result only in terms of

P, \lambda_{\max}, \sigma, b,

and fundamental constants.