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 black body, the temperature of the Sun is _____________.

[Wien's constant b = 2 .898 x l0^{- 3}mK]

Options

• 5800 K

• 6050 K

• 6166 K

• 6500 K

Answer 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 black body, the temperature of the Sun is 6166 K.

Explanation:

Given:  λ_m​= 470nm = 4.70×10⁻⁷m  b = 2.898×10⁻³mK

From Wien's displacement law,

Tλ_m​ = b

We get, temperature of sun

T = `b/(λ_m)`

∴ T = `(2.898 xx 10^(−3​))/(4.70 xx 10^(−7))` = 6166  K