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 that at $1000\; nm$ is $U_3$. Wien's constant, $b = 2.88 \times 10^6 \;nmK$. <br> Which of the following is correct ?
