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4/07/06 Radiasi Benda Hitam (Blackbody Radiation)

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Presentasi berjudul: "4/07/06 Radiasi Benda Hitam (Blackbody Radiation)"— Transcript presentasi:

1 4/07/06 Radiasi Benda Hitam (Blackbody Radiation)
Fisika Klasik Radiasi Benda Hitam (Blackbody Radiation)

2 Equipartisi Energi klasik

3 Equipartisi Energi klasik

4 Equipartisi Energi klasik

5 Energi Gel. di dalam Rongga
Rayleigh dan Jeans : Menghitung kerapatan gelombang berdiri didalam rongga benda hitam pada rentang frekuensi w and w + dw. Rongga radiasi benda hitam berbentuk kotak. Persyaratan mengharuskan gelombang pada ketiga dinding kotak adalah nol. .

6 Dapat dibuktikan bahwa (PR)

7 Energi foton di dalam volume berdasarkan teorema ekuipartisi energi
Rapat energi foton

8 Osillator Harmonik Kuantum
Menurut Planck energi fotonE=nhν Jumlah foton dalam tiap keadaan ditentukan menggunakan statistik Bose-Einstein. Energi EM radiasi benda hitam dapat diperoleh dari dua informasi tersebut.

9

10 Energi Foton

11 Energi Foton

12

13 Densitas Energi Total

14 Fluks Energi

15 Human Eye and the Sun It is often stated in textbooks that the peak sensitivity of the human eye is at the wavelength at which the energy radiated by the sun is maximum.

16 Human Eye Peak at 555 nm

17 A Problem? The graph of the energy density as a function of frequency, for a blackbody at a temperature of 5800 K, has a maximum at 1.41 eV. Photons of that energy have a wavelength of 879 nm, which is out of the visible spectrum, in the infrared. What is wrong?

18 Solution The energy density is plotted as a function of energy, while the eye’s sensitivity is plotted as a function of wavelength. If we plot the energy density as a function of wavelength, its peak does not occur at 879 nm. How can this be?

19 Change to Wavelength

20 Wavelength Spectrum

21 Graph

22 Agreement The maximum of the graph for 5800 K, the temperature of the sun’s surface has a maximum at 500 nm, in reasonable agreement with the peak sensitivity of the human eye.

23 Wien Displacement Law

24 Photon Gas

25 Helmholtz Function

26 Pressure


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