If `lambda_(m)` denotes the wavelength at which the radiative emission from a black body at a temperature `T K` is maximum, then

Options

A. `lambda_(m) prop T^(4)`
B. `lambda_(m)` is independent of `T`
C. `lambda_(m) prop T`
D. `lambda_(m) prop T^(-1)`

Answer

D

Explanation

According to Wien's displacement law, the wavelength `(lambda_m)` of maximum intensity of emission of black body radiation is inversely proportional to absolute tmeprature (T) of the black body. Therefore, Wien's law is
`lambda_(m)T =` constant
or `lambda_(m) = ("constant")/(T)`
or `lambda_(m) prop 1/T`
or `lambda_(m)prop T^(-1)`.