A spherical blackbody of radius radiates of power

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A spherical blackbody of radius

6.0\times10^{6}\,\text{m}

radiates

4.5\times10^{26}\,\text{W}

of power. Calculate its peak-emission wavelength. (Use

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

and

b = 2.90\times10^{-3}\,\text{m\,K}