In a certain planetary system, it is observed that one of the celestial bodies having a surface temperature of $200 \;K$, emits radiation of maximum intensity near the wavelength $12\; \mu m$. The surface temperature (in $K$) of a nearby star which emits light of maximum intensity at a wavelength $\lambda= 4800\;\mathring A$ is
NEET 2017, Medium
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Wien's displacement law
$\lambda T=b$
$\Rightarrow \lambda_1 t_1=\lambda_2 T_2$
$12 \times 10^{-6} \times 200=4800 \times 10^{-10} \times T_2$
$T_2=5000 K$
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