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 $b=2.88\times {10}^{-3}mK.$)

• A. $4000K$
• B. $6000K$
• C. $8000K$
• D. ${10}^{6}K$

Answer 1

The correct option is B $6000K$

The Wien's radiation law is given by
${\lambda }_{m}T=b$
For the given problem, $b=2.88\times {10}^{-3}mK$
Hence, ${\lambda }_{m}T=2.88\times {10}^{-3}$
$\Rightarrow T=\frac{2.88\times {10}^{-3}}{{\lambda }_m}=\frac{2.88\times {10}^{-3}}{480\times {10}^{-9}}$
$=6000K$