TIFR 2014 Problem 6 Solution has been written for TIFR entrance preparation series. A problem on Cauchy-Schwartz inequality for an inner product space.
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 […]
Let's discuss the problem based on losing seconds where we find the depth below the earth's surface. Try yourself and then read the solution. The Problem: Losing Seconds Taking the earth's radius as (6400 Km) and assuming that the value of (g) inside the earth is proportional to the distance from the earth's centre, at […]
Here is a video post that discusses the roots of a polynomial problem from RMO 2017 problem 3. Watch, learn and enjoy the video. Some useful links: RMO Problems RMO 2002 Problem 1 - Video
In this post, we have discussed a problem based on the time period of a rolling cylinder. Try the problem yourself first, then read the solution. The Problem: Time Period of a Rolling Cylinder A solid uniform cylinder of radius (r) rolls without sliding along the inside the surface of a hollow cylinder of radius […]