Question

The Wien's displacement law for a black body is
($T$ is the absolute temperature in $K$
$b$ is a constant of proportionality
$e$ is the emissivity of the black body)

• A. ${\lambda }_{max}T=b$
• B. ${\lambda }_{max}T=e$
• C. ${\lambda }_{max}b=T$
• D. None of these

Answer 1

The correct option is A ${\lambda }_{max}T=b$

According to wein's displacement law there is inverse relation between ${\lambda }_{max}$ of radiation emitted by black body and its temperature (absolute)

${\lambda }_{max}\alpha \frac{1}{T}\Rightarrow =b\frac{1}{T}\Rightarrow {\lambda }_{max}T=b$