• P C Deshmukh

      Articles written in Resonance – Journal of Science Education

    • GTR Component of Planetary Precession

      P C Deshmukh Kaushal Jaikumar Pillay Thokala Solomon Raju Sudipta Dutta Tanima Banerjee

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      Even as the theory of relativity is more than a hundred yearsold, it is not within easy reach of undergraduate students.These students have an insatiable urge to learn more aboutit even if the full machinery of the tools required to studythe same is not within their comfortable reach. The recentdetection of gravitational waves has only augmented their enthusiasmabout the General Theory of Relativity (GTR), developedjust over a hundred years now, encapsulated in Einstein’sField Equations. The GTR provided a consistent formulationof the theory of gravity, removed the anomalies inthe Newtonian model, and predicted spectacular natural phenomenawhich eventual experiments have testified to. Thispedagogical article retraces some of the major milestones thatled to the GTR and presents a simple numerical simulation ofthe GTR advance of the perihelion of planetary motion aboutthe sun.

    • The Brachistochrone

      P C Deshmukh Parth Rajauria Abiya Rajans B R Vyshakh Sudipta Dutta

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      The brachistochrone problem posed by Bernoulli and its solutionhighlights one of the most famous experiments in physicswhich illustrates the variational principle. This pedagogicalstudy is designed to ignite a classroom discussion on the variationalproblem. We overview the Euler–Lagrange formalismof the variational principle and obtain the solution to thebrachistochrone problem. We demonstrate the success of thevariationalmethod using brachistochronemodels which werefabricated specially for this purpose.

    • General Article

      Abiya Rajans Neelima Gupte P C Deshmukh

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      In this article, we discuss the Belousov–Zhabotinsky (BZ) reactionand its relation with the Oregonator model of chemicalreactions. The Oregonator model has a limit cycle, andthe BZ reaction shows chemical oscillations. We comparethe time series obtained from the Oregonator model, with thetime series obtained from an experimental study of the BZ reactionand show that the qualitative behaviour is similar. Wealso construct the limit cycle from the experimental data usingthe Takens’ embedding theorem and compare it with thelimit cycle from the Oregonator model. We conclude with ademonstration of the spatio-temporal patterns which can beseen in the two-dimensional version of this system.

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