Question

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength of $480nm$ in the visible region. Estimate the surface temperature of the sun. (Given Wien's constant $b=2.88\times {10}^{-3}$mK).

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

Answer 1

Answer: (B)

$6000K$

The Wein's displacement law states that,
${\lambda }_{max}T=b$
where b is the Wein's constant

It can be rearranged to obtain the temperature as follows:

$\therefore T=\frac{b}{{\lambda }_{max}}$

substituting the given values, we get
$T=\frac{2.88\times {10}^{-3}mk}{480\times {10}^{-9}m}=6000K$