A small lamp filament can be treated as a blackbody of surface area

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

2.0 \times 10^{-4}\,\text{m}^{2}

. It radiates

500\,\text{W}

of power when steady. Using

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

, estimate its steady temperature. (a)

3.1 \times 10^{3}\,\text{K}

(b)

2.6 \times 10^{3}\,\text{K}

(c)

1.6 \times 10^{3}\,\text{K}

(d)

2.0 \times 10^{3}\,\text{K}