A black body is at a temperature of $5760\,\text{K}$. The energy of radiation emitted by the body at wavelength $250\,\text{nm}$ is $U_1$, at wavelength $500\,\text{nm}$ is $U_2$ and that at $1000\,\text{nm}$ is $U_3$. Wien's constant, $b = 2.88 \times 10^6\,\text{nm K}$. Which of the following is correct?