What is the surface temperature in kelvins of a star that has a peak wavelength of 290 nm?

Answer 1

To determine the surface temperature of a star, we can use Wien's displacement law.

According to Wien's displacement law, the peak wavelength (λ) of the electromagnetic radiation emitted by a black body is inversely proportional to its temperature (T):

λ * T = constant

The constant is known as Wien's displacement constant and has a value of approximately 2.898 x 10^6 nm K.

Now we can rearrange the equation to solve for the temperature:

T = constant / λ

Substituting the given peak wavelength of 290 nm:

T = (2.898 x 10^6 nm K) / (290 nm)
T = 10,003 K

Therefore, the surface temperature of the star is approximately 10,003 Kelvin.