The light from the Sun is found to have a maximum intensity near the w

1.	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» 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 Correct option is (C) 6166 K

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»

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

Correct option is (C) 6166 K