A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength 499 nm and 500 nm is U₁, between 999 nm and 1000 nm is U₂ and between 1499 nm and 1500 nm is U₃. The Wien's constant b = 2.88 x 10⁶ nm K. Then

According to Wien's displacement law, 
${\mathrm{\lambda }}_{\mathrm{m}}\mathrm{T}=\mathrm{b}\text{ or }{\mathrm{\lambda }}_{\mathrm{m}}=\mathrm{b}/\mathrm{T}$
$\therefore {\mathrm{\lambda }}_{\mathrm{m}}=\frac{2.88\times {10}^6\mathrm{nm}}{2880\mathrm{K}}=1000\mathrm{nm}.$
This shows that U₂ is maximum.
Further, black body spectrum is continuous. Hence, finite radiant energy is emitted at all wavelengths, i e ,
${\mathrm{U}}_1\ne 0\text{ and }{\mathrm{U}}_3\ne 0$
Thus,  ${\mathrm{U}}_2>{\mathrm{U}}_1$.