The peak in the emission spectrum of a star occurs at 300 nm, what is the estimated surface temperature in Kelvin? Note: required precision is 2%

Respuesta :

Explanation:

It is given that peak (maximum) emission of star is 300 nm.

And, it is known that according to Wein's displacement relation between wavelength and temperature is as follows.

                    [tex]\lambda_{max} \times T[/tex] = 2898 micrometer.K

Hence, putting the given values into the above formula as follows.

               [tex]\lambda_{max} \times T[/tex] = 2898 micrometer.K

               [tex]300 \times 10^{-9} m \times T[/tex] = 2898 \times 10^{-6} meter.K

                 T = [tex]\frac{2898000}{300}[/tex] K

                     = 9660 K

Thus, we can conclude that the estimated surface temperature of star is 9660 K.