Let's discuss a problem based on Ceva's Theorem from Regional Mathematics Olympiad, RMO, 2002, Problem 1. Watch, learn and enjoy.
Let's discuss a problem based on Ceva's Theorem from Regional Mathematics Olympiad, RMO, 2002, Problem 1. Watch, learn and enjoy.
Let's discuss a problem where we will find the charge of the sphere with the help of the three charged spheres problem. Try before reading the solution. The Problem: Consider three concentric metallic spheres \(A\), \(B\) and \(C\) of radii of \(a\), \(b\), \(c\) respectively where a<b<c . \(A\) and \(B\) are connected whereas C […]
Let's discuss a problem and find out whether a sequence is bounded or unbounded from TIFR 2013 Problem no. 35. Try before reading the solution.
TIFR 2013 Problem 34 Solution has been written for TIFR entrance preparation series. A problem on countability of sequence from Real analysis.
Two equal masses are connected by a spring satisfying Hooke's law. The spring is elongated a little and allowed to let go.. Let the angular frequency of oscillations be \(\omega\). Now one mass stopped. What is the square of the new frequency? Discussion: $$ \mu=\frac{m}{2}$$ $$ \omega^2=k/\mu=2k/m$$ When one block is stopped $$ \omega_1^2=k/m=\omega^2/2$$ Useful […]
TIFR 2013 Problem 32 Solution has been written for TIFR entrance preparation series. A problem on limit of a sequence from real analysis.
Let's discuss a problem from TIFR 2013 Problem 31 based on inequality. Try this problem yourself, then read the solution.
Let's discuss a problem where we find the stable equilibrium point, useful for Physics Olympiad. Try it yourself before reading the solution.
TIFR 2013 Problem 30 Solution has been written for TIFR entrance series. A problem using the idea of linear independence of vectors from Linear Algebra.
TIFR 2013 Problem 29 Solution has been written for TIFR entrance preparation series. A problem on sequence criterion for continuity from Real analysis.