Respuesta :

calculista
We need to use Wien's Law

Wavelength = 0.0028976 [m.K] / T

This establishes a relation between the wavelength and temperature of a black body (any body that absorbs radiation, such as the stars)

T = 0.0028976 [m.K]/290 E-9[m]  = 9991.724 K

The value of the surface temperature of the star which has the peak wavelength of 290 nm is 9992 kelvin,

What is Wien's Law?

Wien's Law state that the body of different temperature emits the spectrum which peak at different wavelengths.

Using this law, the maximum or peak wavelength can be given as,

[tex]\lambda_{peak}=\dfrac{0.0029Km}{T}[/tex]

Here, (T) is the temperature of the object in kelvin.

The peak wavelength of a star is 290 nm. The surface temperature of a star has to be find out.

Put the values in the above formula to find the surface temperature as,

[tex]290\times10^{-9}=\dfrac{0.0029Km}{T}\\T\approx9992\rm \; K[/tex]

Hence, the value of the surface temperature of the star which has the peak wavelength of 290 nm is 9992 kelvin,

Learn more about the Wien's Law Here;

https://brainly.com/question/26512764

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