TIFR 2014 Problem 5 Solution has been written for TIFR entrance preparation series. A problem on maps for bounded sequence from Real analysis.
TIFR 2014 Problem 5 Solution has been written for TIFR entrance preparation series. A problem on maps for bounded sequence from Real analysis.
Let's solve the Regional Mathematics Olympiad Problem, RMO 2017 from Goa and Maharashtra. Try the problems and check your solutions here. (\ 1).((\ 16) marks)Consider a chessboard of size (\ 8) units(\ \times8) units (i.e., each small square on the board has a side length of (\ 1) unit).Let (\ S) be the set of […]
Here are the questions asked in Regional Math Olympiad 2017 and their solutions. Try to solve it first and then see the solutions. Looking for just the problems? Download the PDF here. RMO 2017, Problem 1: Let AOB be a given angle less than \( 180^o \) and let P be an interior point of […]
TIFR 2014 Problem 4 Solution has been written for TIFR entrance preparation series. A problem on uniform continuity from mathematical analysis.
Let's solve the problem based on Magnetic Field at Focus of Parabola and learn how to solve it. First, try it yourself, then check your solution. The Problem: An infinite wire carrying current (I) is bent in the form of a parabola. Find the magnetic field at the focus of the parabola. Take the distance […]
Let's discuss a problem where we will find the change in the orbit of the planet. Give it a try first, then read the solution.
TIFR 2014 Problem 3 Solution has been written for TIFR entrance preparation series. A problem on bounded function from mathematical analysis.
TIFR 2014 Problem 2 Solution has been written for TIFR entrance preparation series. A problem on continuous bounded function from Real analysis.
TIFR 2014 Problem 1 Solution is a part of TIFR entrance preparation series. The Tata Institute of Fundamental Research is India's premier institution for advanced research in Mathematics. The Institute runs a graduate programme leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degree in certain subjects. The image is a front […]
An ice skater spins at (4\pi )rad/s with her arms extended. If her moment of inertia with arms folded is (80\%) of that with her arms extended, what is her angular velocity when she folded her arms? Discussion: Conservation of angular momentum gives $$ I_1\omega_1=I_2 \omega_2$$ $$ (I_1) (4\pi)=0.8 I_1 \omega_2 $$ Hence, (\omega_2=5\pi)