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
B
6000K
C
8000K
D
106K

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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