
Where $r_{0}$ is the radius of the earth and $\sigma$ is Stefan's constant.
$(i)$ The maximum intensity of the emitted radiation will occur at frequency $v /3$
$(ii)$ The maximum intensity of the emitted radiation will occur at frequency $3v $
$(iii)$ The total energy of emitted radiation will become $81\,E$
$(iv)$ The total energy of emitted radiation will become $27\,E$
