The Planck radiation formula is defined as follows: 8th レ3 и(v) c3 ehv/kgT – 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
The Planck radiation formula is defined as follows: 8th レ3 и(v) c3 ehv/kgT – 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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