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The Planck radiation formula is defined as follows: 8th u(v) = v3 c3 ehv/kBT – 1 (a) Using the Taylor series, prove that at small values of hv/kb(T), the above equation becomes the Rayleigh-Jeans equation. (b) Estimate the value of the Planck radiation error if experimentally the frequency and temperature values are known as follows: v = 2 + 0.0125 x 10^14 Hz T = 1500 ± 55 K %3D
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Transcribed Image Text:The Planck radiation formula is defined as follows: 8th u(v) = v3 c3 ehv/kBT – 1 (a) Using the Taylor series, prove that at small values of hv/kb(T), the above equation becomes the Rayleigh-Jeans equation. (b) Estimate the value of the Planck radiation error if experimentally the frequency and temperature values are known as follows: v = 2 + 0.0125 x 10^14 Hz T = 1500 ± 55 K %3D
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