A small, perfectly black spherical satellite of radius drifts in deep space, far from…

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

Problem

A small, perfectly black spherical satellite of radius

0.50\,\text{m}

drifts in deep space, far from any external radiation. The electronics inside dissipate

200\,\text{W}

as heat. If the satellite is in steady thermal equilibrium, what is its surface temperature? (Stefan–Boltzmann constant

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

) (a)

260\,\text{K}

(b)

150\,\text{K}

(c)

180\,\text{K}

(d)

220\,\text{K}