The surface temperature of the star is 6000 K.At what wavelength is its light output a maximum? The constant in Wien's law is 0.00290 m ∙ K.
A)850 nm
B)907 nm
C)311 nm
D)483 nm
E)502 nm

Question

Quizplus · Accepted Answer

According to Wien's law, the wavelength of maximum radiation (λ max) emitted by a blackbody is given by the expression:

λ max = b/T

where b is Wien's displacement constant (2.90 x 10^-3 m.K) and T is the temperature of the blackbody in Kelvin.

Substituting the values given, we get:

λ max = (2.90 x 10^-3 m.K) / (6000 K)

λ max = 4.83 x 10^-7 m

Converting this to nanometers, we get:

λ max = 483 nm

Therefore, the wavelength at which the star's light output is a maximum is 483 nm, which corresponds to option D).

The Surface Temperature of the Star Is 6000 K