# Problem: Using Wien's Displacement Law, calculate the peak wavelength given off from the following objects. Classify the type of light that corresponds to this peak wavelength for each object (including color for visible light).a. An O-type star (T=33000 K)b. The Sun (T = 5800 K)c. Human Skin (T = 32 C)d. Stovetop on high setting (T = 375 F)e. Cold hydrogen gas in space (T = 100 K)

###### FREE Expert Solution

Wien's Displacement Law:

$\overline{){{\mathbf{\lambda }}}_{\mathbf{p}\mathbf{e}\mathbf{a}\mathbf{k}}{\mathbf{T}}{\mathbf{=}}{\mathbf{2}}{\mathbf{.}}{\mathbf{898}}{\mathbf{×}}{{\mathbf{10}}}^{\mathbf{-}\mathbf{3}}{\mathbf{m}}{\mathbf{·}}{\mathbf{K}}}$

Peak wavelength:

${{\mathbf{\lambda }}}_{{\mathbf{peak}}}{\mathbf{=}}\frac{\mathbf{2}\mathbf{.}\mathbf{898}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{m}\mathbf{·}\mathbf{K}}{\mathbf{T}}$

###### Problem Details

Using Wien's Displacement Law, calculate the peak wavelength given off from the following objects. Classify the type of light that corresponds to this peak wavelength for each object (including color for visible light).

a. An O-type star (T=33000 K)

b. The Sun (T = 5800 K)

c. Human Skin (T = 32 C)

d. Stovetop on high setting (T = 375 F)

e. Cold hydrogen gas in space (T = 100 K)