A black body is at a temperature of 5760K. 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 xx 10^(6)` nmK. Which of the following is correct?

Options

A. `U_(1)=0`
B. `U_(3)=0`
C. `U_(1)gtU_(2)`
D. `U_(2)gtU_(1)`

Answer

D

Explanation

Wien’s displacement law is `lambda_(m)T=b` (b = Wien’s constant)
`lambda_(m)=(b)/(T)=(2.88xx10^(6)nm-K)/(2880K)`
`lambda=1000nm`
Energy distribution with wavelength will be as follows:
From the graph it is clear that
`U_(2)gtU_(1)` (in fact `U_(2)` is maximum)