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Question

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength $$480$$ nm in the visible region. Estimate the surface temperature of sun. (Given Wien's constant $$b=2.88\times10^{-3}\,mK.$$)


A
4000K
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B
6000K
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C
8000K
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D
106K
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Solution

The correct option is B $$6000\;K$$
The Wien's radiation law is given by
$$\lambda_mT=b$$
For the given problem, $$b=2.88\times10^{-3}mK$$
Hence, $$\lambda_mT=2.88\times10^{-3}$$
$$\Rightarrow\,T=\dfrac{2.88\times10^{-3}}{\lambda_m}=\dfrac{2.88\times10^{-3}}{480\times10^{-9}}$$
$$=6000\,K$$

Physics

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