These are the Questions from Zonal Computing Olympiad 2018 Exam of International Infromatics Olympiad held in Tsukuba, Japan. Problem 1 […]
These are the Questions from Zonal Computing Olympiad 2018 Exam of International Infromatics Olympiad held in Tsukuba, Japan. Problem 1 […]
Space Camp 2018 conducted by NASA alumni Hello, If your child is between 9 and 12 years old, then he/she may be eligible for Space Camp 2018. This is a special 6 day-5 nights camp conducted by NASA alumni. For older students (12 to 14 years or more), there is the 'Space […]
TIFR 2015 Problem 7 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 […]
TIFR 2014 Problem 21 Solution has been written for TIFR entrance preparation series. A problem using the idea of Fundamental theorem of calculus.
You may want to look into the first part
TIFR 2014 Problem 20 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 […]
Let's discuss a problem from TIFR 2014 Problem 18. Question: What is the last digit of (97^{2013})? Discussion: (97 \equiv -3 (\mod 10 ) ) (97^2 \equiv (-3)^2 \equiv -1 (\mod 10 ) ) (97^3 \equiv (-1)\times (-3) \equiv 3 (\mod 10 ) ) (97^4 \equiv (3)\times (-3) \equiv 1 (\mod 10 ) ). Now, (2013=4\times […]
A ring of radius (R) carries a linear charge density ($\lambda$). It is rotating with angular speed ($\omega$). What is the magnetic field at the centre? Discussion: Linear charge density $$ \lambda=\frac{Q}{2\pi R} $$ When the ring is rotated about the axis, the motion of the electrons in a circular orbit is equivalent to a […]
A rigid triangular molecule consists of three non-collinear atoms joined by rigid rods. The constant pressure molar specific heat (C_p) of an ideal gas consisting of such molecules is (a) (6R) (b) (5R) (c) (4R) (d) (3R) Degrees of freedom are the number of independent parameters that define its configuration If (N) be the number […]