Standardized symbols, defining mathematical equations, SI & CGS units, dimensional analysis, and board exam revision aids across Physics, Chemistry, Biology, Mathematics, and ICT.
Any measurable property of a physical body or system that can be quantified by measurement.
The shortest straight-line vector directed from an object's initial position to its final position.
The time rate of change of position of an object in a specified direction.
The rate at which the velocity of an object changes with respect to time.
An external agency or interaction that changes or tends to change the state of rest or uniform motion of a body.
The product of the mass and velocity of a moving object.
A resistive force that opposes the relative motion or tendency of motion between two touching surfaces.
The universal attractive force mutually exerted between any two masses across spacetime.
The scalar product of the applied force vector and the displacement vector.
The energy possessed by an object due to its motion, defined as half the product of mass and the square of velocity.
The stored energy of a body resulting from its relative position in a force field or its internal elastic deformation.
The rate at which work is done or energy is transferred per unit of time.
The perpendicular compressive force applied per unit surface area of an object.
The volumetric mass density of a substance, defined as mass divided by volume.
An upward buoyant force is exerted on a body immersed in a fluid, equal to the weight of the fluid that the body displaces.
The dimensionless ratio of the speed of light in vacuum to its phase velocity in a given optical medium.
The electric potential energy per unit electric charge at a designated point in an electrostatic field.
The measure of opposition to the flow of electric current through an electrical conductor.
A fundamental physical constant relating the energy of a photon to its electromagnetic frequency.
The smallest constituent unit of an element that retains its chemical properties and directly participates in chemical reactions.
An electrically neutral group of two or more atoms held together by chemical covalent bonds that exists independently.
Variants of a particular chemical element which differ in neutron number, and consequently in nucleon number, while maintaining identical proton numbers.
The SI base unit of amount of substance, containing exactly 6.02214076 x 10^23 elementary entities.
The mass of a given chemical substance divided by the amount of substance, expressed in grams per mole (g/mol).
The concentration of a solution expressed as the number of moles of solute per liter of solution.
A measure of the combining capacity of an atom with other atoms when forming chemical compounds.
A lasting attraction between atoms, ions, or molecules that enables the formation of chemical compounds.
A chemical property that describes the tendency of an atom to attract shared electron pairs in a covalent bond.
The hypothetical charge that an atom would have if all bonds to atoms of different elements were 100% ionic.
The spontaneous net movement of particles from an area of higher concentration to an area of lower concentration.
The total heat energy absorbed or released during a chemical transformation under constant pressure conditions.
A logarithmic scale used to specify the acidity or basicity of an aqueous solution.
The basic structural, functional, and biological unit of all known organisms, often called the building block of life.
A double-stranded helical biopolymer that carries the genetic blueprint for the development, functioning, growth, and reproduction of all known organisms.
A process of equational cell division where a single parent cell divides to produce two genetically identical daughter cells.
The biochemical process by which green plants and certain organisms convert light energy into chemical energy in glucose, releasing oxygen.
The metabolic pathways that break down glucose and produce ATP through aerobic and anaerobic oxidation.
The primary energy currency of the cell, storing metabolic energy in its high-energy phosphoanhydride bonds.
A genetic cross between parents that differ in only one specific contrasting trait.
A structural and functional community where living biotic organisms interact with their non-living abiotic environment and exchange energy.
The set of all subsets of a given set, including the empty set and the set itself.
The mathematical set operation returning all ordered pairs (x, y) where x belongs to set A and y belongs to set B.
The algebraic parameter b^2 - 4ac that determines the nature and multiplicity of roots in quadratic equations.
A theorem relating the length of a median of a triangle to the lengths of its three sides.
A geometric entity possessing both magnitude and spatial direction, adhering to the vector parallelogram laws of addition.
The measure of the likelihood that an event will occur, quantified as the ratio of favorable outcomes to total sample space outcomes.
The branch of mathematics in which the values of the variables are the truth values true (1) and false (0).
An idealized or physical electronic circuit implementing a Boolean function to perform logical operations on one or more binary inputs.
A mathematical table used in logic to compute the functional values of logical expressions for every possible combination of inputs.
A database structured to recognize relations between stored items of information using tables with rows (tuples) and columns (attributes).
Essential rules for writing units, dimensions, and symbols in secondary and higher secondary scientific examinations.
Units named after scientists (e.g., newton, joule, watt) are written in lowercase when spelled out, but their symbols are capitalized (N, J, W). Standard units not derived from proper names are written with lowercase symbols (e.g., m for meter, kg for kilogram, s for second). Never pluralize symbols with an "s" (write 50 kg, not 50 kgs).
The Principle of Homogeneity states that terms added or subtracted in any physical equation must share identical dimensions. Dimensional analysis is vital for verifying formula correctness and deriving relationships between physical quantities without empirical constants.