A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U_1, at wavelength 500 nm is U_2 and…

A black body is at a temperature of $\displaystyle 5760$ K. The energy of radiation emitted by the body at wavelength $\displaystyle 250$ nm is $\displaystyle \mathrm{U}_1$, at wavelength $\displaystyle 500$ nm is $\displaystyle \mathrm{U}_2$ and that at $\displaystyle 1000$ nm is $\displaystyle \mathrm{U}_3$. Wien's constant, $\displaystyle \mathrm{b}=2.88 \times 10^6 \mathrm{nmK}$. Which of the following is correct ?