Question

The maximum radiant power of the sun is at wavelength 500 nm. The Wein displacement law constant is 2.898*10^-3 mK. Estimate the temperature of the surface of the Sun to be a blackbody radiator.
(a) 5796K (b) 6795K (c) 7796K (d) 4796K​

Answer 1

Answer:

(a) 5796 is the right answer

Answer 2

Given,

           Wavelength = 500 nm

           wien displacement law constant = $2.898$×$10^{-3}$

To Find: the temperature of the surfaces of the sun?

Explanation:

                            λpeak = 500nm

after changing nm into m,

                            λpeak = $5$×$10^{7}$

According to wien's displacement law,

                             λpeak = $\frac{b}{T}$

(where b is constant and equal to $2.898$×$10^{3} mK$)

Therefore,

                               $T$ = $b$/λpeak

                                   = ($2.898$×$10^{-3}$)/($5$×$10^{-7}$)

                                   = $5.796$×$103 K$

                                   = $5796K$

Hence the temperature of the surface of the sun is 5796K.