Question

The light from the sun is found to have a maximum intensity near the wavelength of $470\text{nm}$. Assuming that the surface of the sun emits as a blackbody, calculate the temperature of the surface of the sun. Given: $b\left(\text{Wein's constant}\right)=0.288\text{cm}K$

• A. $5110K$
• B. $4588K$
• C. $6130K$
• D. $7123K$

Answer 1

The correct option is C $6130K$

According to Wien's law, for a blackbody,

${\lambda }_{m}T=b$

$\Rightarrow T=\frac{b}{{\lambda }_m}=\frac{0.288\times {10}^{-2}}{470\times {10}^{-9}}$

$\approx 6130K$

Hence, $\left(C\right)$ is the correct answer.