What is the wavelength of the most intense light emitted by a giant star of surface temperature 5000 K? The constant in Wien's law is 0.00290 m ∙ K.
A)576 nm
B)578 nm
C)580 nm
D)582 nm

Question

Quizplus · Accepted Answer

According to Wien's law, the wavelength of the most intense light emitted by a blackbody is inversely proportional to its temperature. The formula is λ_max = b/T, where b is Wien's constant, which has a value of 0.00290 m.K.

So, for a star of surface temperature 5000 K, the wavelength of the most intense light emitted would be:

λ_max = 0.00290 m.K / 5000 K = 0.00000058 m

Converting this to nanometers (nm):

λ_max = 580 nm

Therefore, the best choice is C) 580 nm, as it matches the calculated value of the wavelength of the most intense light emitted by the giant star.

What Is the Wavelength of the Most Intense Light Emitted