# Problem: Our sun's 5800 K surface temperature gives a peak wavelength in the middle of the visible spectrum.What is the minimum surface temperature for a star whose emission peaks at some wavelength less than400 nm− that is, in the ultraviolet?

###### FREE Expert Solution

Wien's displacement law:

$\overline{){{\mathbf{\lambda }}}_{\mathbf{m}\mathbf{a}\mathbf{x}}{\mathbf{=}}\frac{\mathbf{b}}{\mathbf{T}}}$

b = 0.2898 cm•K (1m/100cm) = 2.898 × 10-3 m•K

λmax = 400 nm (10-9m/1nm) = 4 × 10-7 m

###### Problem Details

Our sun's 5800 K surface temperature gives a peak wavelength in the middle of the visible spectrum.

What is the minimum surface temperature for a star whose emission peaks at some wavelength less than

400 nm− that is, in the ultraviolet?