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 \(\text{U}_1\),at wavelength \(500\, \text{nm}\) is \(\text{U}_2\) and that at \(1000\, \text{nm}\) is \(\text{U}_3\) Wien's constant, \(\text{b}\, =\, 2.88 \times 10^6\, \text{nmK}\). Which of the following is correct?