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Bhupal Nobles' University, Udaipur Convocation | भूपाल नोबल्स विश्वविद्यालय, उदयपुर दीक्षांत समारोह

भूपाल नोबल्स विश्वविद्यालय दीक्षांत समारोह महाराणा प्रताप स्टेशन रोड, सेवाश्रम सर्कल, उदयपुर। भूपाल नोबल्स विश्वविद्यालय उदयपुर द्वारा वर्ष 2018 से 2024 तक की स्नातक एवं स्नातकोत्तर परीक्षा में उत्तीर्ण एवं विद्यावाचस्पति (Ph.D.) उपाधिधारियों के लिए दीक्षान्त समारोह 27 मार्च 2025 गुरूवार को प्रातः 10:30 बजे आयोजित करने का निश्चित हुआ है। दीक्षान्त समारोह में 2020 से 2025 तक की विद्यावाचस्पति की उपाधियों तथा स्नातक एवं स्नातकोत्तर परीक्षाओं में वर्ष 2024 तक प्रथम स्थान प्राप्त करने वाले छात्रों को उपाधि एवं स्वर्ण पदक प्रदान किए जायेंगे। अतः जो उपाधिधारी उक्त समारोह में उपाधि प्राप्त करने के इच्छुक हों, वे समारोह में उपस्थित होने की लिखित सूचना के साथ स्नातक एवं स्नातकोत्तर प्रथम वरीयता प्राप्त छात्रों हेतु, पंजीकरण शुल्क ₹500 व उपाधि शुल्क ₹5000 (कुल ₹5500) एवं विद्यावाचस्पति (Ph.D.), शोधार्थी पंजीकरण शुल्क ₹500 व उपाधि शुल्क ₹5000 (कुल ₹5500) नकद अथवा डिमाण्ड ड्राफ्ट भूपाल नोबल्स विश्वविद्यालय, उदयपुर के नाम बनाकर कुलसचिव, भूपाल नोबल्स विश्वविद्यालय, उदयपुर को दिनांक 17.03.2025 तक ...
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Compton Effect | Quantum mechanics | Physical basis of quantum mechanics

Compton Effect (Quantum nature of light)

  • Compton effect was discovered by A.H. Compton.
  • When a beam of monochromatic X-rays of wavelength λ is scattered by a light element (carbon), then the scattered X-rays have maximum intensities at two wavelengths, one of them at the same wavelength λ and the other at slightly longer wavelength λ՛. This effect is known as Compton effect.
  • The difference in wavelength (λ - λ՛) is known as Compton shift.

Theory 


  • The energy of incident photon, E1 = hν
  • Momentum of incident photon, p1 = hν/c
  • This photon strikes with an electron at rest.

Before collision

  • Momentum of electron, p2 = 0
  • Energy of electron (rest mass energy), E2 = m0c2

After collision

  • The photon scattered from its original path by giving some of its kinetic energy to the electron and the electron recoils.
  • Energy of scattered photon, E1՛ = hν՛
  • Momentum of scattered photon, p1՛ = hν՛/c
  • The scattered photon move in a direction making an angle θ with the X-axis.
  • The energy of electron, E2՛ = mc2
  • Momentum of electron, p2՛ = mv
  • This electron moves in a direction making an angle ϕ with the X-axis.

From the law of conservation of energy

            E1 + E2 = E1՛ + E2՛

            hν + m0c2 = hν՛ + mc2

            mc2 = h (ν - ν՛) + m0c2

From the law of conservation of momentum 

  • Momentum along X-axis

  • Momentum along Y-axis
  • From relativistic formula
  • This is the change in wavelength of X-rays and is known as Compton shift in the wavelength of X-rays.
  • Here λc is Compton wavelength and its value is given by
  • λc = h / m0c = 0.0242Å

Conclusion

  • Compton shift is independent of the wavelength of the incident radiation and nature of the scattering substance.
  • It depends only on the scattering angle θ.

Special cases


  • It is the maximum value of Compton shift.

Experimental setup


Experimental setup of Compton effect

Relative intensities versus wavelength curve of Compton effect at different angles
  • The excellent agreement between the Compton shift obtained from Compton theory and the experimental results confirms that the elastic collision between a photon and an electron is just like an elastic collision between two particles.
  • The Compton effect proves the quantum theory (particle nature) of radiation.
  • To know more about Compton effect, please click on the link https://youtu.be/hwQaqo6Gwz4 and for bilingual lecture (Hindi/English) https://youtu.be/KNiPYOq274U
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