Question: Use dimensional analysis to show that the wavelength scale of blackbody radiation is given by th = hc/k B T . The average radiation

Use dimensional analysis to show that the wavelength scale of blackbody radiation is given by λ_th = hc/k_BT . The average radiation energy in a cavity depends only on its volume and not on its shape when λ_th ≪ L, , where L is a typical length scale characterizing the cavity. How low must the temperature be for the shape to matter if L ≈ 1 cm?

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