Authors:

IGA Widagda, Ni Luh Putu Trisnawati, I Wayan Gede Suharta

Abstract:

“The Calculation of the maximum wavelength (?m) of radiation emitted by a black body can be determined from the Wien displacement law, which states the ratio between the Wien constant and the absolute temperature (T). Wien’s displacement law can be derived analytically from the Energy Density equation (U?) in Plank’s law. The solution for U? is obtained by calculating the first derivative of the function with respect to ? or dU?/d?, and then proceeding with finding a solution to the equation for the derivative. The solution of dU?/d? is the value of ? that makes dU?/d? equal to zero. The resulting wavelength is the maximum wavelength ?m, which is the wavelength value that makes the value in the equation U? the maximum value. The final result of this calculation is the Wien’s displacement law, namely the multiplication of ?m with T equals the Wien constant. So basically, the derivation of Wien’s displacement law is to find the maximum value of the function f(x). The maximum value of the function f(x) can be done numerically. Solving numerically can be done with the Modified Newton-Rapshon method. The modified Newton-Rapshon method is usually implemented in the form of computer program code. In this research, the results of the calculation of the maximum wavelength ?m analytically are very close to the results of numerical calculations (modified NR). This can be seen from the results of linear regression with gradient values (m), regression constants (c) and coefficient of determination (R2) close to the ideal values of 1, 0 and 1, respectively.”

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References

  • [1] Beiser, Arthur, 2003, Concept of Modern Physics, sixth edition, McGraw-Hill company, New York, USA.
  • [2] Weinberg, Steven, 2021, Foundations of Modern Physics, Cambridge University press, New York, USA.
  • [3] Gupta, Shashikant,2003, Blackbody Radiation, Indian Institute of Science, Bangalore India
  • [4] Dharmawan, Komang, Ida harini, Luh Putu, Perbandingan Keefisienan Metode Newton-Rapshon, Metode Secant, dan Metode Bisection dalam Mengestimasi Implied Volatilitas Saham, E-Journal Matematika, vol.5, no.1, 2016
  • [5] Utami, Nanda Ningtyas Ramadhani, Widana, I Nyoman, Asih, Ni Made, Perbandingan Solusi Sistem Persamaan Nonlinear menggunakan Metode Newton-Rapshon dan Metode Jacobian, E-Journal Matematika, vol.2, no.2, 2013
  • [6] Munir, Rinaldi, 2005, Metode Numerik, Teknik Informatika, ITB, Bandung
  • [7] Krane, Kenneth S., 2020, Modern Physics, fourth edition, John Willey and Sons, Inc., New Jersey, USA.
  • [8] Esa Bose, Wien’s displacement law from Planck’s law of radiation, Available from: https://www.youtube.com/watch?v=AxGzVA3syDQ, diakses 2 Mei 2023
  • [9] Amlan Das, Derivation of Wien’s Displacement Law from Planck’s Radiation Law, Available from: https://www.youtube.com/watch?v=h92gy1oKnAE, diakses 18 Mei 2023
  • [10] Soegeng R., 1993, Komputasi Numerik dengan Turbo Pascal, Penerbit Andi, Jogyakarta
  • [11] Pine, David J., 2019, Introduction to Python for Science and Engineering, CRC press, New York, USA.
  • [12] Montgomery, Douglas C., Peck, Elizabeth A., Vining, G. Geoffrey, 2021, Introduction to Linear Regression Analysis, sixth edition, John Wiley & Sons, Inc., New Jersey, USA.

PDF:

https://jurnal.harianregional.com/buletinfisika/full-102206

Published

2023-08-05

How To Cite

WIDAGDA, IGA; TRISNAWATI, Ni Luh Putu; SUHARTA, I Wayan Gede. Application Design of Newton-Rapshon method in Proving Maximum Wavelength on Wien’s Displacement Law.BULETIN FISIKA, [S.l.], v. 24, n. 2, p. 154 – 161, aug. 2023. ISSN 2580-9733. Available at: https://jurnal.harianregional.com/buletinfisika/id-102206. Date accessed: 28 Aug. 2025. doi:https://doi.org/10.24843/BF.2023.V24.i02.p13.

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Vol 24 No 2 (2023): BULETIN FISIKA August Edition

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Articles

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