A small spherical object behaves like an ideal blackbody.

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

Problem

A small spherical object behaves like an ideal blackbody. (a) It radiates

200\,\text{W}

of power when its surface temperature is

600\,\text{K}

. Calculate its radius. (Use

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

.) (b) If its temperature is raised to

800\,\text{K}

, estimate the total power it will radiate, keeping the radius the same.