A thin rectangular sheet measuring by radiates from both of its large faces

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

Problem

A thin rectangular sheet measuring

0.50\,\text{m}

1.0\,\text{m}

radiates from both of its large faces. Its surface emissivity is

0.90

, and it is desired that the sheet emit a total of

3.0\,\text{kW}

of thermal power. What temperature must the sheet reach? (Stefan–Boltzmann constant

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

) (a)

410\,\text{K}

(b)

590\,\text{K}

(c)

490\,\text{K}

(d)

510\,\text{K}