A spherical satellite of radius has an exterior surface with emissivity

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

Problem

A spherical satellite of radius

1.0\,\text{m}

has an exterior surface with emissivity

0.60

. If the satellite must radiate

2.0\,\text{kW}

of thermal power into space, what surface temperature is required? (Stefan–Boltzmann constant

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

) (a)

230\,\text{K}

(b)

370\,\text{K}

(c)

260\,\text{K}

(d)

310\,\text{K}