A metal sphere behaves like an ideal blackbody

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A metal sphere behaves like an ideal blackbody. Its surface area is

0.50\,\text{m}^{2}

and its temperature is

800\,\text{K}

. Take

\sigma = 5.67 \times 10^{-8}\,\text{W}\,\text{m}^{-2}\,\text{K}^{-4}

. Calculate the total power radiated by the sphere. (a)

5.8 \times 10^{3}\,\text{W}

(b)

4.6 \times 10^{4}\,\text{W}

(c)

1.2 \times 10^{4}\,\text{W}

(d)

2.3 \times 10^{4}\,\text{W}