The energy of radiation emitted from a black body is not same for all wavelength hence option $(c)$ is wrong.
Plank’s law relates the wavelength ($\lambda$) and temperature $(T)$ according to the relation
${E_\lambda }{d_\lambda } = \frac{{8\pi \,hc}}{{{\lambda ^5}}}\frac{1}{{[{e^{hc/kT}} - 1]}}{d_\lambda }$. Hence option $(d)$ is correct.
Where $r_{0}$ is the radius of the earth and $\sigma$ is Stefan's constant.
