Closed Interval: Let a and b be two given real numbers such that a < b. Then the set of all real numbers x such that a ≤ x ≤ b is called a closed interval and is denoted by [a, b] i.e., [a, b] = {x ϵ R| a ≤ x ≤ b} Open Read more about Intervals[…]
1. Atomic Radius: It is defined as the distance from the centre of the nucleus to the outermost shell of electrons. For practical purposes, atomic radius can be defined in many ways. a) Covalent Radius: Half of the inter-nuclear distance between two identical or almost identical atoms bonded by a single covalent bond. For a diatomic molecule, Read more about Trends in Physical Properties of Periodic Elements[…]
Conservative Force: A force is said to be conservative if the work done by the force (or against the force) in moving a body depends only upon the initial and final positions of the body and is independent of the path followed between the initial and final positions. The gravitational force is a conservative force. Read more about Conservative and Non Conservative Forces[…]
Periodic Functions: A function f(x) is said to be a periodic function if there exists a positive real number T such that f (x+ T) = f (x) for all x ϵ R. We know that Sin (x + 2x) = sin (x + 4x) = … = sin x And, cos (x + 2x) Read more about Periodic Functions[…]
S-block: The s-block elements are metals. Metals are usually solids at room temperature. Metals usually have high melting and boiling points. They are good conductors of heat and electricity. They are malleable (can be flattened into thin sheets by hammering) and ductile. P-block: The p-block contains metals, metalloids (or semi-metals) and non-metals. Non-metals are usually Read more about Types of elements in s, p, d and f blocks[…]
If no external torque is acting upon a body rotating about an axis, then the angular momentum of the body remains constant, that is, J = I ω = constant This is called the ‘law of conservation of angular momentum’. If I decreases, ω increases and vice versa. Proof: We have read above that when Read more about Conservation of Angular Momentum[…]
Definition: Let f: A → B and g: B → C be two functions. Then a function gof: A → C defined by (gof)(x) = g(f(x)), for all x ϵ A is called the composition of f and g.Note 1: It is evident from the definition that gof is defined only if for each x Read more about Composition of Functions[…]
Radial nodes: Radial nodes are nodes inside the orbital lobes Angular nodes: angular nodes are not internal countours of electron probability, but rather are planes that go through the orbital Total number of nodes = n – 1 Total number of Angular nodes = 1 Total number of Radial nodes = (n – 1 – 1) n is Read more about Nodes[…]
An instance of one moving object or person striking violently against another.Elastic collision: An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies after the encounter is equal to their total kinetic energy before the encounter. Elastic collisions occur only if there is no net conversion of kinetic energy into Read more about Collisions[…]
CONSTANT FUNCTION: Let k be a fixed real number. Then a function f (x) given by f (x) = k for all x ϵ R is called a constant function. Sometimes we also call it the constant function k.IDENTITY FUNCTION: The function defined by I (x) = x for all x ϵ R is called the identity function on R.RECIPROCAL FUNCTION: The function that associates each non-zero real number x to its reciprocal 1/x Read more about Graphs of simple functions[…]