Problem 8: The thermal radiations from the sun peaks in the visible part of the spectrum. Estimate the temperature of the sun.
Solution
Theory: When the temperature of a black body radiator is increased, the overall radiated energy increases as well. The product of the peak wavelength and temperature, in Kelvin, is constant.
This is called Wien’s law. Value of the constant is found to be 2.898 × 10-3 m.K. Thus the peak wavelength of the black body radiation gives a measure of the temperature of the blackbody.
Given: Peak of the radiations from the sun in the visible region. This means the λmax is 500 nm = 5 × 10-9 m.
Required: Temperature of the sun, T.
Put in the formula given above,
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