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I am trying to find Wien's law from Planck's equation but instead of $\lambda$ I am finding frequency.

I found it:

$$\nu_{max} = \frac{(2.82)k_bT}{h}.$$

The following question asks: Why $\nu_{max}\neq {c}/\lambda_{max}$?

I cannot use $\nu = \frac{c}{\lambda}$ to turn Wien's law into frequency: $$\lambda_{max}=\frac{b}{T},$$ where $b$ is Wien's displacement constant.

EDIT

questions The question I am wondering about is b)

Qmechanic
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Tsangares
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  • Does this help? – NickD Apr 12 '17 at 04:11
  • Yes that does, what do you think my teacher is saying then? I will add the question to the above question. – Tsangares Apr 12 '17 at 04:16
  • Planck's function is per (unit) wavelength (or frequency, depending on its form). You have to think a $d \nu$ or $d \lambda$ after it. Derived formulas such as Wien's law need to incorporate this when switching between frequency and wavelength, even if the frequency or wavelength is fixed (at $\nu_{max}$ / $\lambda_{max}$). – 9769953 Apr 12 '17 at 04:24

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