Question
Use the numerical value of the Stefan-Boltzmann constant to find the numerical value of Planck's constant from Eq. $3.42 .$
Step 1
The equation is given as: \[H = \left(\frac{2\pi^5k^4}{15\sigma c^2}\right)^{1/3}\] Show more…
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Use the numerical value of the Stefan-Boltzmann constant to find the numerical value of Planck's constant from $\mathrm{Fa} .3 .40$
Integrate Eq. 3.39 to obtain Eq. 3.24. Use the definite integral $\int_{0}^{\infty} x^{3} d x /\left(e^{x}-1\right)=\pi^{4} / 15$ to obtain Eq. 3.40 relating the Stefan-Boltzmann constant to Planck's constant.
Integrate Eq. 3.41 to obtain Eq. $3.26 .$ Use the definite integral $\int_{0}^{\infty} x^{3} d x /\left(e^{x}-1\right)=\pi^{4} / 15$ to obtain Eq. 3.42 relating the Stefan-Boltzmann constant to Planck's constant.
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