TIFR 2014 Problem 8 Solution has been written for TIFR entrance preparation series. A problem on function from real analysis.
TIFR 2014 Problem 8 Solution has been written for TIFR entrance preparation series. A problem on function from real analysis.
Let's discuss a problem and know how to find the power consumption of electric heater. Try the problem and read the solution here. The Problem: An electric heater coonsists of a nichrome coil and under (220V) consuming (1KW) power. Part of its coil burned out and it was reconnected after cutting off the burnt portion. […]
TIFR 2014 Problem 7 Solution has been written for TIFR entrance preparation series. A problem on point wise limit from real analysis.
TIFR 2014 Problem 6 Solution has been written for TIFR entrance preparation series. A problem on Cauchy-Schwartz inequality for an inner product space.
Let's discuss a problem based on Removed Charge from Kishore Vaigyanik Protsahan Yojana, KVPY, 2010. First, try the problem yourself, then read the solution here. The Problem: (12) positive charges of magnitude (q) are placed on a circle of radius (R) in a manner that they are equally spaced. A charge (Q) is placed at […]
Let's discuss a problem based on the maximum height of water in a tank with a hole. Try the problem yourself first and then read the solution. The Problem: Maximum Height of Water A large tank is filled with water of (70 cm^3/s). A hole of cross-section (0.25cm^2) is punched at the bottom of the […]
Let's discuss a problem based on efflux velocity of fluid through a small orifice in a tube. Try it yourself first, then read the solution.
Let's discuss a problem and find out the work done by a force acting on the piston. First, try the problem and then read the solution. The Problem: A cylinder filled with water of volume (V) is fitted with a piston and placed horizontally. There is a hole of cross-sectional area (s) at the other […]
The central theme of the thousand flowers program is: connected ideas and connected problems. We will illustrate the idea using some examples. But before we do so, let's point out the theoretical motivation behind such a program. It is greatly borrowed from the pedagogical experiments of Rabindranath Thakur. (Reference: https://bn.m.wikisource.org/wiki/বিশ্বভারতী). One of his major criticisms of […]