Domain and Range of a Real Function Domain: Generally, real functions in calculus are described by some formula and their domain are not explicitly stated. Find the domain of the function f(say) we find all real numbers x for which f(x) is a real valued. In other word, determining the domain of a function means Read more about Domain and Range of a Real Function[…]
Electric Field Due to an Isolated Point Charge Electric Field is a force produce by a charge near its surroundings. This force is exerted on other charges when brought in the vicinity of this field. The SI unit of Electric field is N/C. Electric field due to a charge at a point is the force Read more about Electric Field Due to an Isolated Point Charge[…]
Relation between Field and Potential Electric Field is a force produce by a charge near its surroundings. This force is exerted on other charges when brought in the vicinity of this field. The SI unit of Electric field is N/C. Electric field due to a charge at a point is the force that a unit Read more about Relation between Field and Potential[…]
Cartesian Product Let A and B be two non-empty sets. The cartesian product of A and B is denoted by A x B and is defined as the set of all ordered pairs (a, b). where a ϵ A and b ϵ B. Symbolically, A x B = {(a, b): a ϵ A and b Read more about Cartesian Product[…]
Van de Graaff Generator American Physicist, Robert J. Van de Graaff was the person behind this invention. A Van de Graaff generator is an electrostatic generator and it is used to generate high voltages of a few millions of volts. What is Van de Graaff generator? Van de Graaff generator is a device which is Read more about Van de Graaff Generator[…]
Domain and Range of Relations Domain and Range of Relations: Let R be a relation from A to B. The domain of R is the set of all those elements a ϵ A such that (a, b) ϵ R for some b ϵ R for some b ϵ B. Domain of R = {a ϵ Read more about Domain and Range of Relations[…]
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IISER Aptitude Test (IAT) 2019 Notification Released The Government of India has established Indian Institutes of Science Education and Research (IISER) at Berhampur, Bhopal, Kolkata, Mohali, Pune, Thiruvananthapuram and Tirupati to integrate and promote interdisciplinary science education and research. Over the years IISERs have been successfully attracting talented young minds. An overarching goal of the Read more about IISER Aptitude Test (IAT) 2019 Notification Released[…]
Power Set Let A be a non-empty set, then collection of all possible subsets of a set A is known as Power Set. It is denoted by P(A). Example: Suppose A = {1, 2, 3} P(A) = {Ф, {1}, {2}, {3}, {1, 2}, {2, 3}, {3, 1}, {1, 2, 3}} Ï P(A) [A] ϵ P(A) Read more about Power Set[…]
Torricelli’s Law Torricelli’s law, also known as Torricelli’s theorem, statement in fluid dynamics that the speed (v), of fluid flowing out of an orificeunder the force of gravity in a tank is proportional to the square root of the vertical distance between the liquid surface and the centre of the orifice and to the square root of twice Read more about Torricelli’s Law[…]