What will be the ratio of temperatures of sun and moon if the wavelengths of their maximum emission radiations rates are $140 A$ $^{o}$ and $4200 A$ $^{o}$ respectively :

1 : 30

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30 : 1

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42 : 14

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14 : 42

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Solution

The correct option is C $30 : 1$
According to Wein's displacement law, the peak wavelength is inversely proportional to absolute temperature.
So, the ratio of temperatures will be inverse of ratio of wavelengths.
So, $\frac{T_{1}}{T_{2}} = \frac{λ_{2}}{λ_{1}}$ $= \frac{4200}{140}$ $= 30 : 1$

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What will be the ratio of temperatures of sun and moon if the wavelengths of their maximum emission radiations rates are 140 Ao and 4200 Ao respectively :

The correct option is C 30:1According to Wein's displacement law, the peak wavelength is inversely proportional to absolute temperature.So, the ratio of temperatures will be inverse of ratio of wavelengths.So, T1T2=λ2λ1 =4200140 =30:1

What will be the ratio of temperatures of sun and moon if the wavelengths of their maximum emission radiations rates are $140 A$ $^{o}$ and $4200 A$ $^{o}$ respectively :

The correct option is C $30 : 1$
According to Wein's displacement law, the peak wavelength is inversely proportional to absolute temperature.
So, the ratio of temperatures will be inverse of ratio of wavelengths.
So, $\frac{T_{1}}{T_{2}} = \frac{λ_{2}}{λ_{1}}$ $= \frac{4200}{140}$ $= 30 : 1$