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Proving the Total Energy Density of Planck-Body Law: λ to f Domain Conversion
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[QUOTE="Simon Bridge, post: 4647844, member: 367532"] dλ = -c/f[sup]2[/sup] ... there should be a df in there somewhere. [tex]\renewcommand{\d}{\;\text{d}}[/tex] [tex]I_\lambda \d\lambda = \frac{2\pi c^2 h}{\lambda^5}\frac{\d \lambda}{e^{hc/\lambda kT}-1}[/tex] ... can you see [i]why[/i] it may be easier to change to frequency domain? Note: when a hint says to "think about" something, you usually get extra marks for showing that you actually thought about it instead of just taking the hint blindly. Sometimes a teacher will hive you a false "think about" in the hint and you are supposed to dismiss it with reasoning. Therefore: check that the hint makes sense. [/QUOTE]
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Proving the Total Energy Density of Planck-Body Law: λ to f Domain Conversion
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