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 at 1000 nm is `U_(3)`, Wien's constant, `b=2.88xx10^(6)` nm K, 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

`T_(1)=55760 K, lambda_(m) T=b=2.88xx10^(6)nm K`
`lambda_(m)=(2.88xx10^(6) nm K)/(5760 K) = 500 nm`
Here, `lambdas_(m)` is the wavelength corresponding to maximum energy. Thus `U_(2)gtU_(1)`.