Question

Star $S_1$ emits maximum radiation of wavelength $420nm$ and the star $S_2$ emits maximum radiation of wavelength $560nm$. What is the ratio of the temperature of $S_1$ and $S_2$?

• A. $\frac{4}{3}$
• B. ${\left(\frac{4}{3}\right)}^{\frac{1}{4}}$
• C. $\frac{3}{4}$
• D. ${\left(\frac{3}{4}\right)}^{\frac{1}{2}}$

Answer 1

The correct option is A $\frac{4}{3}$

Wien's displacement law states that:
${\lambda }_{m}T=b\left(constant\right)$
i.e. ${\lambda }_1{T}_{S_1}={\lambda }_2{T}_{S_2}$

$\frac{T_{S_1}}{T_{S_2}}=\frac{{\lambda }_2}{{\lambda }_1}=\frac{560}{420}=\frac{4}{3}$