A laboratory heater consists of two perfect black plates

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

A laboratory heater consists of two perfect black plates. Plate 1 has an area of

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

and is kept at

600\,\text{K}

. Plate 2 is kept at

500\,\text{K}

and has an unknown area. The combined power output of the two plates is measured to be

5.0\,\text{kW}

. Using

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

, determine the area of Plate 2. (a)

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

(b)

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

(c)

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

(d)

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