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

Answer 1

Answer: (B)

6000 K

Answer 2

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