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Celestial Objects

Star A emits ...

Question

Star A emits radiation of maximum intensity at a wavelength of $5000 ˚ A$ and it has temperature $1227^{o} C$ . If star B has temperature $2727^{o} C$ , then the maximum intensity would be observed at

A

4000 ˚ A

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B

2250 ˚ A

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C

3000 ˚ A

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D

2500 ˚ A

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Solution

The correct option is D $2500 ˚ A$
$\begin{matrix} \frac{λ m^{1}}{λ m} = \frac{T}{T^{1}} \frac{λ m^{1}}{5000 A} = \frac{1227 + 273 k}{2727 + 273 k} λ m^{1} = 2500 A \end{matrix}$

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