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Blackbody Radiation Question 1: Limit of Planck's Law is 0 as Wavelength Approaches 0 or ∞ https://youtu.be/8gcdHAhVVG0 In this video I show by using l'Hospital's Rule for indeterminate limits, that Planck's Law for blackbody radiation approaches zero as…
Blackbody Radiation Question 2: Planck's Law Approximates Rayleigh-Jeans Law at Large Wavelengths https://youtu.be/p2a4QGnzlm0

In this video I show that using just the first term for the Taylor series expansion of the exponential function in Planck's Law, it becomes Rayleigh-Jeans Law. This results in a good approximation for Rayleigh-Jeans Law at large wavelengths since the extra terms of the Taylor series become very small.

#math #physics #QuantumMechanics #science #education
MES Links
Blackbody Radiation Question 2: Planck's Law Approximates Rayleigh-Jeans Law at Large Wavelengths https://youtu.be/p2a4QGnzlm0 In this video I show that using just the first term for the Taylor series expansion of the exponential function in Planck's Law…
Blackbody Radiation Questions 3,4: Comparing Planck's Law to Rayleigh-Jeans Law for the Sun https://youtu.be/SL3z_KJ7yPw

In this video I graph out the blackbody radiation energy density for the Sun using both Planck's Law and the classical Rayleigh-Jeans Law. At large wavelengths, both models are similar but at short wavelengths the classical theory diverges wildly to infinity. This was the cause of the Ultraviolet Catastrophe.

#math #science #physics #QuantumMechanics #education
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Historical Review of Planck's Law for Blackbody Radiation https://youtu.be/ItKjlvF9gic In this video, I provide a quick review of the history behind Planck's Law, the formula derived by Max Planck in 1900 to resolve the Ultraviolet Catastrophe for blackbody…
Planck's Constant as Quantum of Energy via FractalWoman's Modified Unit Analysis https://youtu.be/UFg4wzaQGT8

In this video I compare the conventional view of the Planck's constant as being merely a proportionality constant to solve the blackbody radiation problem vs FractalWoman's unique insight that Planck's constant may actually represent the minimum energy unit of ALL electromagnetic frequencies.

#science #STEM #physics #QuantumPhysics #education
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🔬#MESExperiments 37: Interesting Experiments with Magnets and Unmagnetized Steel https://youtu.be/cmpRq-C_UzU In this experiment I demonstrate some very interesting observations of permanent magnets and unmagnetized steel when placed on a large magnet. …
🔬#MESExperiments 38: Replicating Viktor Schauberger's Rising Egg Experiment https://youtu.be/GgUkVpnEQY0

In this experiment I show that stirring a column of water causes an egg to rise 33% faster and fall 25% slower than a ping pong ball, thus confirming Viktor Schauberger's rising egg experiment.

#science #education #physics #water
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Vectors and the Geometry of Space: Cylinders and Quadric Surfaces https://youtu.be/k4EyLr4uOUA In this video I explore the wonderful world of cylinders and quadric surfaces. Cylinders are defined as a 3D surface that consists of all lines (called rulings)…
Vectors and the Geometry of Space: Review of Chapter https://youtu.be/VMKb69uDVt0

In this video I go over the end of chapter review questions covering the Vectors and the Geometry of Space chapter. There are 19 questions in total and serve as a good review on vectors, dot products, cross products, as well as the equations of lines, planes, and their applications.

#math #science #geometry #calculus #education