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Question: Experimental investigations show that the intensity of solar radiation is maximum for a wavelength 4...

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 Wein’s constant b=2.88×10−3mKb = 2.88 \times 10^{- 3}mK).

A

4000 K

B

6000 K

C

8000 K

D

106K10^{6}K

Answer

6000 K

Explanation

Solution

According to Wein’s displacement law.

λmax⁡\lambda_{\max}

Where b is the Wein’s constant ∴T=bλmax⁡\therefore T = \frac{b}{\lambda_{\max}}

Substituting the given values, we get

T=2.88×10−3mK480×10−9m=6000KT = \frac{2.88 \times 10^{- 3}mK}{480 \times 10^{- 9}m} = 6000K