Question

The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm. Assuming the surface of the Sun as a blackbody, the temperature of the Sun is [Wien’s constant b = 2.898 × 10^-3 m.K] 

(A) 5800 K 

(B) 6050 K 

(C) 6166 K 

(D) 6500 K.

Answer 1

Correct Option is (C) 6166 K

Given, \(\lambda m = 470 \ nm\)

T = ?

\(\lambda m T = b\)

\(T = \frac{b}{\lambda m}\)

\(T = \frac{2.898 \times 10^{-3}}{470 \ nm}\)

\(T = \frac{2.898 \times 10^{-3}}{470 \times 10^{-9}}\)

\(T = 0.0061659 \times 10^6\)

T = 6165 K

Answer 2

Correct option is (C) 6166 K