Question

The sun emits a light with maximum wavelength $510nm$ while another star emits a light with maximum wavelength of $350nm$. The ratio of surface temperature of sun and the star will be:

• A. $0.68$
• B. $2.1$
• C. $1.45$
• D. $0.46$

Answer 1

The correct option is A $0.68$

Applying Wein's displacement law,
${\lambda }_{m}T=$constant
$\frac{{\lambda }_m^1}{{\lambda }_m^n}=\frac{T_2}{T_1}\Rightarrow \frac{510}{350}=\frac{T_2}{T_1}$
$\frac{T_2}{T_1}=\frac{51}{35}\Rightarrow \frac{T_1}{T_2}=\frac{35}{51}=0.68$