i) sinnx, cosnx, secnx, cosecnx are periodic functions with period 2π and π according as n is odd or even. ii) tannx, cotnx are periodic functions with period π whether n is even or odd. iii) |sin x|, |cos x|, |tan x|, |cot x|, |sec x|, |cosec x| are periodic with period π. iv) |sin Read more about Few Important Points – Maths[…]
Introduced by Pauling The atomic orbitals combine to form new set of equivalent orbitals known as hybrid orbitals. Unlike pure orbitals, the hybrid orbitals are used in bond formation. Hybridization: The process of intermixing of the orbitals of slightly different energies so as to redistribute their energies, resulting in the formation of new set of Read more about Hybridisation[…]
Generally accey body surface is rigid (micro seopic view) If we go for a microscopic view the surfaces like. So due to this rigidness the inter locking will occur between the two bodies. When there in contact tis inter locking should be in order to move the body on the other (or surface) this opposition Read more about Friction[…]
GREATEST INTEGER FUNCTION: For any real numbers x, we denote [x], the greatest integer less than or equal to x. For example, [2.45] = 2, [-2.1] = -3, [1.75] = 1, [0.32] = 0 etc. The function f defined by f (x) = [x] for all x ϵ R, is called the greatest integer function.In Read more about Real Valued Functions[…]
Ionisation Energy: It is the amount of energy required to remove an electron from the outermost orbit of an isolated gaseous atom. (If given in terms of the amount of work done in removing an electron, the property is called ionization potential.) Units: kJ / mol (for ionization potential, units: eV/atom.) This is denoted by word I. Read more about Trends in Chemical Properties of Periodic Elements[…]
Escape velocity: It is the minimum velocity with which a body must be protected from the surface of the earth so that it escapes from the gravitational field of the earth. We can also say that a body, projected with escape velocity, will be able to go to a point which distance from the earth. Read more about ESCAPE VELOCITY AND ORBITAL VELOCITY OF SATELLITE[…]
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 Read more about Some Standard Real Functions[…]
1. Periodicity in valency or oxidation states: Thevalence (or valency) of an element is a measure of its combining power with other atoms when it forms chemical compounds or molecules. The valence of elements is usually (though not necessarily) equal to the number of electrons in the outermost orbitals and/ or equal to eight minus the number Read more about Periodic Trends in Properties of Elements[…]
A particle executing SHM possesses two types of energy if a particle executes SHM, its kinetic energy changes into potential energy and vice-versa keeping total energy constant (if friction of air is neglected). Kinetic energy: This is an account of the velocity of the particle. K = ½ mv2 = ½ mA2 ω2cos2 (ωt + Read more about Energy in Simple Harmonic Motion[…]
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[…]