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…exist only while crossing the boundary. **Sign convention (Physics).** $Q>0$ heat **into** the system. $W>0$ work done **by** the system. Chemistry uses $\Delta U = Q + W$ with $W$ done *on* the system. Write your conv…

…elengths, for every sample of hydrogen anywhere. Classical physics cannot produce this. An orbiting electron radiating continuously would sweep through all frequencies as it spiralled inward, giving a continuous band an…

…text> </svg> ``` That is the whole method of this chapter. JEE Main kinematics asks you to substitute into $v = u + at$. **JEE Advanced asks you to choose the frame in which the problem becomes easy**, and to handle acc…

…e the atom lies a strange and fascinating world.' — Quantum Physics ## 1. Chapter Overview This chapter takes you INSIDE the atom — beyond Dalton's indivisible sphere to the world of PROTONS, NEUTRONS, ELECTRONS, and t…

…, and of engineering having to satisfy both. ## Beyond the JEE Main Syllabus The JEE Main syllabus for this unit names the first and second laws and the Gibbs energy criterion. The **third law**, fixing the entropy of…

# Integral Calculus Look at a question JEE Main has set more than once, in one form or another: $$I=\int_{0}^{1}\frac{8\log(1+x)}{1+x^{2}}\,dx$$ There is **no elementary antiderivative** for this i…

…">F = q squared / 16 pi eps0 d squared</text> </svg> ``` **Main gives you three symmetric charge distributions and asks you to substitute.** Advanced gives you a distribution that is not symmetric, a boundary that is no…

# Differential Equations Here is a JEE question that stops most candidates: $$\left(1+y^{2}\right)dx-\left(\tan^{-1}y-x\right)dy=0$$ Try to separate the variables and you fail. Try it as a homo…

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