Bodies A and B have emissivities e₁=0.01 and e₂=0.81 and equal surface areas. They radiate energy at the same rate. Let λ₁ and λ₂ be their wavelengths of maximum spectral radiance. If λ₂-λ₁=1.00 μm and T₁=5802 K for body A, which statements are correct?
Select all that apply

Question

Bodies A and B have emissivities e₁=0.01 and e₂=0.81 and equal surface areas. They radiate energy at the same rate. Let λ₁ and λ₂ be their wavelengths of maximum spectral radiance. If λ₂-λ₁=1.00 μm and T₁=5802 K for body A, which statements are correct?

Select all that apply

G1 Physics · Accepted Answer

Equal radiated powers give e₁T₁⁴=e₂T₂⁴, so T₂=1934 K. By Wien's law λT=constant, λ₁=0.5 μm and λ₂=1.5 μm. Therefore A and B are correct.

Bodies A and B have emissivities e₁=0.01 and e₂=0.81 and equal surface areas. They radiate energy at the same rate. Let λ₁ and λ₂ be their wavelengths of maximum spectral radiance. If λ₂−λ₁=1.00 μm and T₁=5802 K for body A, which statements are correct?