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  4. The maximum in the energy distribution spectrum of the sun is at wavelength 4753 AA and its temperature is 6050 K. What will be the temperature of the star (in K) whose energy distribution shows a maximum at wavelength 9506 AA ?

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Q. The maximum in the energy distribution spectrum of the sun is at wavelength $4753 \AA$ and its temperature is $6050\, K$. What will be the temperature of the star (in $K$) whose energy distribution shows a maximum at wavelength $9506 \AA$ ?

Thermal Properties of Matter

Solution:

By Wein's displacement law, we use $\lambda_{m} T=$ constant
$\Rightarrow \lambda_{m_{1}} T_{1}=\lambda_{m_{2}} T_{2} $
$\Rightarrow 4753 \times 6050=9506 \times T_{2} $
$\Rightarrow T_{2}=3025\, K$