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Question

Which Indian physicist introduced a new statistical method in 1924 to derive the blackbody radiation law with respect to a gas of light quanta (photons)?

This question was previously asked in
SSC Stenographer 2022 Previous Year Paper (17-Nov-2022) (Shift 2)
The correct answer is

Satyendra Nath Bose

Understanding the Pioneer of Quantum Statistics

The question asks about an eminent Indian physicist who made a groundbreaking contribution in 1924 by introducing a novel statistical approach to derive the blackbody radiation law. This work specifically involved considering light quanta, now known as photons, as a gas.

Let's examine the key details:

  • Timeframe: The contribution was made in 1924.
  • Subject: Derivation of the blackbody radiation law.
  • Method: A new statistical method was introduced.
  • Basis: The method treated light quanta (photons) as a gas.

Analyzing the Contributions of Indian Physicists

We need to identify which of the given Indian physicists fits this description:

1. Meghnad Saha: Known for his Saha ionization equation, which describes the ionization state of elements in stellar atmospheres. While a brilliant astrophysicist, his primary contribution wasn't a new statistical method for blackbody radiation in 1924.

2. CV Raman: Famous for the Raman Effect, discovered in 1928, which describes the inelastic scattering of light. His work was primarily in optics and spectroscopy, not statistical mechanics applied to blackbody radiation in 1924.

3. Homi J Bhabha: Often called the "father of India's nuclear programme." His work was mainly in cosmic ray physics, nuclear physics, and establishing research institutions. His major contributions in theoretical physics came later than 1924 and weren't focused on the statistical derivation of blackbody radiation.

4. Satyendra Nath Bose: In 1924, Satyendra Nath Bose published a paper titled "Planck's Law and the Hypothesis of Light Quanta." In this paper, he developed a new statistical method to count the number of ways photons could occupy different energy states. Critically, this method did not rely on classical physics assumptions (like the distinctness of particles), and when applied to photons as a gas, it correctly derived Planck's blackbody radiation law. His innovative approach led Einstein to generalize it to atoms, resulting in what is now known as Bose-Einstein statistics.

Conclusion on the Physicist

Based on the analysis, it is clear that Satyendra Nath Bose is the physicist who, in 1924, introduced a new statistical method for deriving the blackbody radiation law using the concept of light quanta (photons).

Revision Table: Key Indian Physicists

Physicist Key Contribution Area Famous Work/Discovery Time Period of Major Work
Meghnad Saha Astrophysics, Thermodynamics Saha Ionization Equation Early 20th Century
CV Raman Optics, Light Scattering Raman Effect Early to Mid-20th Century
Homi J Bhabha Nuclear Physics, Cosmic Rays Cascade theory of electron showers Mid-20th Century
Satyendra Nath Bose Quantum Statistics, Mathematical Physics Bose-Einstein Statistics, Derivation of Planck's Law Early to Mid-20th Century

Additional Information on Bose-Einstein Statistics

Satyendra Nath Bose's 1924 paper introduced a way of counting quantum states that was different from classical statistical mechanics (Maxwell-Boltzmann statistics). He treated photons as indistinguishable particles, which was a radical idea at the time. When Albert Einstein received Bose's paper, he recognized its significance and extended the statistics to particles with integer spin (bosons), leading to the formulation of Bose-Einstein statistics. This statistical framework is crucial for understanding the behavior of systems like superfluids, Bose-Einstein condensates, and the thermal properties of photons (blackbody radiation).

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