Explore Science
Like Never Before
100 interactive simulations and visualizations for Physics, Biology, Chemistry, Mathematics, English, and Hindi. Designed for curious minds ages 12–18.
Choose Your Subject
Physics
Projectile motion, wave interference, and pendulum simulations with real-time calculations.
→Biology
Cell explorer, DNA-to-protein synthesis, and ecosystem food web interactions.
→Chemistry
Periodic table, molecular structures, and pH scale — all interactive.
→Mathematics
Graphing calculator, equation solvers, trigonometry, geometry, and statistics — all interactive.
→English
Grammar, vocabulary, literary devices, punctuation, and writing skills — all interactive.
→Hindi
Varnamala, sandhi, samas, alankar, muhavare, and grammar — all interactive.
→Physics Lab
Explore motion, waves, and energy through real-time simulations.
Projectile Motion
Projectile motion describes the curved path (parabola) of an object launched into the air, subject only to gravity. The horizontal and vertical motions are independent — the object moves at constant speed horizontally while accelerating downward due to gravity.
Adjust the launch angle, initial velocity, and gravity to see how they affect range, maximum height, and flight time. Use “Compare” to overlay multiple trajectories.
Used in sports (basketball arcs, football throws), engineering (missile trajectories), and forensics (bullet path analysis).
Controls
Formulas
x = v₀ cos(θ) · t
y = v₀ sin(θ) · t − ½gt²
Range = v₀² sin(2θ) / g
Wave Interference & Superposition
When two waves meet, they combine according to the principle of superposition — their amplitudes add together at every point. This can create constructive interference (waves reinforce) or destructive interference (waves cancel).
Adjust frequency, amplitude, and phase of two waves and observe the resulting superposition (green wave). Match frequencies and phases for constructive interference, or set them opposite for destructive.
Noise-cancelling headphones use destructive interference; radio antennas use constructive interference to boost signals.
Wave 1
Wave 2
Simple Pendulum & Energy Conservation
A pendulum converts between potential energy (at the highest points) and kinetic energy (at the lowest point), demonstrating conservation of energy. The period depends on length and gravity, but NOT on mass or amplitude (for small angles).
Set the pendulum length, initial angle, and damping factor. Watch the energy bar to see KE and PE exchange in real time.
Pendulums were used in early clocks (grandfather clocks); seismometers use pendulum principles to detect earthquakes.
Controls
Gravity & Free Fall Comparison
In a vacuum, ALL objects fall at exactly the same rate regardless of mass — this was famously demonstrated by Galileo and later confirmed on the Moon by Apollo 15 astronauts (hammer and feather). In air, lighter objects experience more drag relative to their weight, making them fall slower.
Select different objects and environments to compare. In vacuum mode, watch all objects hit the ground simultaneously. In air mode, observe how air resistance affects lighter objects more.
Skydivers experience terminal velocity; spacecraft re-entry vehicles are designed considering drag forces.
Gravity Fall Comparison
Compare how objects of different masses fall in vacuum vs. air. In vacuum all objects fall at the same rate!
Objects
Formulas
Vacuum: y = ½gt²
Air: ma = mg − ½ρv²CdA
Terminal v = √(2mg / ρCdA)
Ohm's Law & Electric Circuits
Ohm's Law (V = IR) is the fundamental relationship between voltage, current, and resistance in electrical circuits. Increasing voltage pushes more current through; increasing resistance reduces current flow. Resistors in series add up, while parallel resistors share current.
Adjust voltage and resistance to see current change. Watch the electron flow animation — faster electrons mean more current. Toggle series or parallel resistors to explore combined resistance.
Every electronic device from smartphones to power grids relies on Ohm's Law for circuit design.
Ohm's Law Circuit
V = I × R
Lens Optics & Ray Diagrams
Lenses bend (refract) light to form images. Convex lenses converge light and can form real or virtual images depending on object position. Concave lenses always diverge light and form virtual, upright, reduced images. The thin lens equation (1/f = 1/do + 1/di) relates focal length, object distance, and image distance.
Switch between convex and concave lenses. Move the object position and focal length to see how the image changes in size, orientation, and type (real vs virtual).
Used in eyeglasses, cameras, telescopes, microscopes, and projectors.
Lens Optics
1/f = 1/v − 1/u
Inclined Plane & Forces
An inclined plane decomposes gravitational force into two components: one parallel to the surface (causing sliding) and one perpendicular (the normal force). Friction opposes motion along the surface. The steeper the angle, the greater the component pulling the object downhill.
Adjust the incline angle, mass, and friction coefficient. Release the block to see it accelerate down the ramp. Watch the force vectors update in real time.
Ramps, wedges, and screws are all inclined planes; road engineers design highway grades using these principles.
Inclined Plane
Forces
Spring Motion & Hooke's Law
Hooke's Law (F = -kx) states that the restoring force of a spring is proportional to its displacement. A mass on a spring oscillates in simple harmonic motion, continuously converting between kinetic and elastic potential energy. Adding damping simulates real-world friction that gradually reduces oscillation amplitude.
Set the spring constant, mass, and damping. Start the simulation to see oscillation. Watch the energy bars show KE and PE exchange.
Car suspension systems, trampolines, and mechanical watches all use spring principles.
Spring & Hooke's Law
F = −kx | T = 2π√(m/k)
Doppler Effect
The Doppler Effect is the change in frequency (or pitch) of a wave as the source moves relative to an observer. As a source approaches, wavefronts compress and frequency increases (higher pitch). As it recedes, wavefronts stretch and frequency decreases (lower pitch).
Adjust the source speed and wave frequency. Watch the wavefronts compress ahead of the moving source and spread behind it.
Ambulance sirens change pitch as they pass; Doppler radar measures storm movement; astronomers use redshift to measure how fast galaxies move away.
Doppler Effect
f' = f × (v / (v ± vₛ))
Coulomb's Law
Coulomb's Law describes the electrostatic force between two charged particles. The force is proportional to the product of the charges and inversely proportional to the square of the distance between them.
Coulomb's Law
F = k·q₁·q₂ / r²
Circular Motion
Uniform circular motion occurs when an object moves in a circle at constant speed. A centripetal force directed toward the center keeps the object on its circular path.
Circular Motion
F = mv²/r
Momentum & Collisions
Momentum is the product of mass and velocity. In collisions, total momentum is conserved. Elastic collisions also conserve kinetic energy; inelastic collisions do not.
Momentum & Collisions
p = mv | p₁ + p₂ = p₁' + p₂'
Heat Transfer
Heat flows from hot objects to cold objects until thermal equilibrium is reached. The amount of heat transferred depends on mass, specific heat capacity, and temperature difference.
Heat Transfer
Q = mcΔT
EM Spectrum Explorer
The electromagnetic spectrum spans from low-frequency radio waves to high-frequency gamma rays. All EM waves travel at the speed of light, with wavelength and frequency inversely related.
EM Spectrum
c = λf | E = hf
Magnetic Fields
Magnetic fields are invisible regions of force around magnets and current-carrying wires. Field lines show the direction a north pole would move.
Magnetic Fields
B = μ₀m / (4πr³)
Buoyancy & Archimedes' Principle
An object in fluid experiences an upward buoyant force equal to the weight of displaced fluid. Objects float when buoyant force exceeds weight.
Buoyancy
F_b = ρ_fluid × V × g
Simple Machines (Lever)
A lever is a rigid bar that rotates around a fulcrum. Mechanical advantage lets you lift heavy loads with less effort by adjusting arm lengths.
Lever
MA = effort arm / load arm
Standing Waves & Resonance
Standing waves form when two waves of equal frequency travel in opposite directions. The result has fixed nodes (no movement) and antinodes (maximum movement).
Standing Waves
λ = 2L/n | f = nv/2L
Nuclear Decay Simulator
Radioactive nuclei decay randomly over time. The half-life is the time for half the atoms to decay. This process follows an exponential curve.
Nuclear Decay
104 isotopes — search by name, symbol, or decay type
N(t) = N₀ × (½)^(t/t½)
Biology Lab
Discover cells, DNA, and ecosystems through interactive explorations.
Interactive Cell Explorer
Cells are the basic building blocks of all living organisms. Animal cells and plant cells share many organelles but have key differences — plant cells have a cell wall, chloroplasts, and a large central vacuole that animal cells lack. Each organelle performs a specialized function essential for the cell's survival.
Click on any organelle in the diagram to learn about its structure and function. Switch between animal and plant cells to compare their differences. Use zoom to examine details.
Understanding cell biology is fundamental to medicine (cancer research targets cell division), agriculture (plant cell engineering), and biotechnology.
Cell Explorer
Click on any organelle to learn about it. Use the buttons above to switch between animal and plant cells.
DNA to Protein Synthesis
The central dogma of molecular biology describes how genetic information flows from DNA to RNA to protein. In transcription, DNA is copied into mRNA. In translation, ribosomes read mRNA codons (3-base sequences) and assemble amino acids into proteins. Each codon codes for a specific amino acid.
Enter a DNA template strand (using A, T, G, C). Click Start to watch transcription convert DNA to mRNA, then translation read codons and build a protein chain. Use Step for base-by-base control.
Understanding protein synthesis is key to genetic engineering, mRNA vaccines (like COVID-19 vaccines), and treating genetic disorders.
DNA → Protein Synthesis
Steps: Transcription (DNA → mRNA) → Translation (mRNA → Amino Acids → Protein)
Ecosystem Food Web Simulator
An ecosystem is a community of organisms interacting with each other and their environment. Food webs show the flow of energy from producers (plants) to primary consumers (herbivores) to secondary and tertiary consumers (predators). Population sizes are interconnected — if one species declines, it affects the entire web.
Select species from the palette and place them on the canvas. Click two species to draw predator-prey connections (arrows show "eats" direction). Hit Simulate to run population dynamics based on simplified Lotka-Volterra equations.
Ecologists use food web models to predict effects of species extinction, invasive species, and climate change on ecosystems.
Food Web Builder
Drag species from the palette onto the canvas. Draw connections by clicking two species.
Photosynthesis
Photosynthesis is the process by which plants, algae, and some bacteria convert light energy, water (H2O), and carbon dioxide (CO2) into glucose (C6H12O6) and oxygen (O2). It occurs in chloroplasts and is the foundation of nearly all food chains on Earth. The rate depends on light intensity, CO2 concentration, and temperature.
Adjust light intensity, CO2 level, and temperature to see how they affect the rate of photosynthesis. Watch O2 bubbles produced and glucose molecules formed.
Photosynthesis produces the oxygen we breathe and the food we eat; understanding it helps improve crop yields and develop artificial photosynthesis for clean energy.
Photosynthesis
6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂
Mitosis — Cell Division
Mitosis is the process of cell division that produces two genetically identical daughter cells from one parent cell. It occurs in 5 main stages: Prophase (chromosomes condense), Metaphase (chromosomes align at center), Anaphase (chromosomes separate), Telophase (nuclear envelopes reform), and Cytokinesis (cell physically splits).
Click Play to watch the animation progress through each stage, or use Step to advance one stage at a time. Each stage shows the key events happening to chromosomes and cell structures.
Mitosis is essential for growth, repair, and maintenance of all multicellular organisms. Errors in mitosis can lead to cancer.
Mitosis — Cell Division
Watch a cell divide through the stages of mitosis.
Interphase
The cell is preparing to divide. DNA is replicated.
Punnett Square Genetics Calculator
A Punnett Square is a tool for predicting the probability of offspring inheriting particular genotypes and phenotypes. Each parent contributes one allele per gene. Dominant alleles (uppercase) mask recessive alleles (lowercase). The square shows all possible allele combinations and their expected ratios.
Select a trait and set each parent's genotype (homozygous dominant, heterozygous, or homozygous recessive). Click Cross to generate the Punnett Square and see the offspring ratios for genotype and phenotype.
Genetics counselors use Punnett Squares to predict the likelihood of inherited conditions; breeders use them to plan animal and plant crosses.
Punnett Square
Heart & Circulatory System
The human heart is a four-chambered muscular pump that circulates blood throughout the body. The right side pumps deoxygenated blood to the lungs (pulmonary circulation), while the left side pumps oxygenated blood to the body (systemic circulation). The heart beats about 100,000 times per day, adjusting its rate based on the body's needs.
Click Start to see the heart beat and blood particles flow through the four chambers. Adjust BPM (beats per minute) to change heart rate. Click on any chamber to learn about its role.
Understanding heart function is essential in cardiology; heart disease is the leading cause of death worldwide.
Heart & Circulation
Click on any chamber or vessel to learn about it.
Enzyme Kinetics
Enzymes are biological catalysts that speed up reactions. The Michaelis-Menten model describes how reaction velocity depends on substrate concentration, with Vmax and Km as key parameters.
Enzyme Kinetics
v = Vmax·[S] / (Km + [S])
Neuron Action Potential
Neurons transmit electrical signals called action potentials. When a stimulus exceeds the threshold, voltage-gated ion channels open, causing depolarization followed by repolarization.
Neuron Action Potential
Action Potential Phases
Cellular Respiration
Cellular respiration converts glucose and oxygen into ATP energy through glycolysis, the Krebs cycle, and the electron transport chain, producing CO₂ and H₂O as byproducts.
Cellular Respiration
C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O + ATP
Natural Selection
Natural selection drives evolution by favoring traits that improve survival. Over generations, populations adapt to environmental pressures through variation, selection, and reproduction.
Natural Selection
Population Genetics
Blood Type Compatibility
Blood types (A, B, AB, O) are determined by antigens on red blood cells. Compatibility depends on matching antigens and antibodies — mismatched transfusions cause agglutination.
Blood Type Compatibility
Blood Type Compatibility
Osmosis & Diffusion
Osmosis is the movement of water across a semipermeable membrane from low to high solute concentration. Diffusion moves particles from high to low concentration.
Osmosis & Diffusion
Osmotic Pressure: π = iMRT
Population Growth
Populations grow exponentially when unlimited, but logistically when resources are limited. The carrying capacity (K) is the maximum population an environment can sustain.
Population Growth
dN/dt = rN(K−N)/K
Reflex Arc
A reflex arc is a rapid, involuntary response pathway: receptor → sensory neuron → relay neuron → motor neuron → effector. It bypasses the brain for speed.
Reflex Arc
Signal Pathway
Nitrogen Cycle
The nitrogen cycle converts atmospheric N₂ into forms usable by living organisms through fixation, nitrification, assimilation, and denitrification.
Nitrogen Cycle
N₂ ↔ NH₃ ↔ NO₂⁻ ↔ NO₃⁻
Taxonomy Classification
Taxonomy classifies organisms into hierarchical groups: Kingdom → Phylum → Class → Order → Family → Genus → Species, based on shared characteristics.
Taxonomy
Classification
Chemistry Lab
Explore elements, molecules, and reactions with interactive tools.
Interactive Periodic Table
The Periodic Table organizes all 118 known chemical elements by atomic number, electron configuration, and chemical properties. Elements in the same column (group) share similar chemical behavior. The table reveals patterns — atomic radius decreases across a period, electronegativity generally increases left to right, and metallic character decreases across periods.
Click any element to see its properties including atomic mass, electron configuration, category, and discovery info. Use the search bar to find elements by name or symbol. Filter by category to highlight element groups.
The Periodic Table guides drug design, materials science, semiconductor manufacturing, and understanding chemical reactions in everyday life.
3D Molecule Viewer
Molecules are groups of atoms bonded together. Their 3D shape determines their properties and how they interact with other molecules. Covalent bonds share electrons between atoms, and the arrangement of these bonds creates specific geometries (linear, tetrahedral, planar, etc.).
Select a molecule from the dropdown to view its 3D structure. Drag to rotate the model and scroll to zoom. Each atom is colored by element and bonds are shown as connecting lines.
Drug design relies on understanding molecular shapes to create medicines that fit into receptor sites like a key in a lock.
Molecule Viewer
Click and drag to rotate. Scroll to zoom.
pH Scale & Acids/Bases
The pH scale (0-14) measures how acidic or basic a solution is. pH 7 is neutral (pure water). Values below 7 are acidic (more H+ ions) and above 7 are basic/alkaline (more OH- ions). Each pH unit represents a 10x change in H+ concentration, so pH 3 is 10,000 times more acidic than pH 7.
Move the slider to explore different pH values. See common substances at each pH level and watch the solution color change based on indicator colors.
pH is critical in swimming pool maintenance, cooking (baking soda vs vinegar), soil health for farming, blood pH regulation in medicine, and industrial water treatment.
Neutral (Water)
A pH of 7 is neutral — neither acidic nor basic.
Chemical Equation Balancer
A balanced chemical equation has equal numbers of each type of atom on both sides, following the Law of Conservation of Mass — matter cannot be created or destroyed. Balancing equations is a fundamental chemistry skill that ensures stoichiometric correctness. Coefficients (numbers in front of formulas) are adjusted to achieve balance.
Select an equation and adjust the coefficients for each compound. Click Check to verify if the equation is balanced. The atom count display shows you how many of each element are on each side.
Balanced equations are essential for calculating yields in pharmaceutical manufacturing, determining fuel ratios in rocket science, and managing industrial chemical processes.
Balance Equations
Gas Laws & Ideal Gas Simulator
Gas behavior is described by several interrelated laws. Boyle's Law (P inversely proportional to V at constant T), Charles's Law (V proportional to T at constant P), and Gay-Lussac's Law (P proportional to T at constant V) combine into the Ideal Gas Law: PV = nRT. Gas particles move randomly, colliding with container walls to create pressure.
Select a gas law and adjust pressure, volume, or temperature sliders. Watch the particles in the piston-cylinder respond — higher temperature means faster particles, lower volume means more frequent wall collisions.
Gas laws explain how car engines work, why balloons expand in heat, how scuba diving regulators function, and how weather systems form.
Ideal Gas Law
PV = nRT
Electron Orbitals — Bohr Model
The Bohr model shows electrons orbiting the nucleus in specific energy levels (shells). Each shell holds a maximum number of electrons (2, 8, 18, 32...). Electrons in the outermost shell (valence electrons) determine an element's chemical reactivity and bonding behavior. Elements in the same group have the same number of valence electrons.
Select an element to see its Bohr model with electrons arranged in shells. The animation shows electron orbits. The info panel displays electron configuration and valence electrons.
Understanding electron configuration explains why elements bond the way they do, why metals conduct electricity, and how LEDs and lasers emit light.
Electron Orbitals
Reaction Rates & Collision Theory
Chemical reactions occur when particles collide with sufficient energy (activation energy) and correct orientation. Reaction rate — how fast reactants become products — depends on temperature (faster particles = more energetic collisions), concentration (more particles = more collisions), and catalysts (lower the activation energy needed).
Adjust temperature, concentration, and surface area. Start the simulation to watch particles collide. Successful reactive collisions flash and produce product particles. The graph tracks reaction rate over time.
Catalytic converters in cars speed up reactions to reduce emissions; refrigeration slows food spoilage by reducing reaction rates; enzymes are biological catalysts in your body.
Reaction Rates
Adjust factors and observe how they affect collision frequency and reaction speed.
Acid-Base Titration
Titration determines the concentration of an acid or base by neutralizing it with a known solution. The equivalence point is where moles of acid equal moles of base.
Acid-Base Titration
n(acid) = n(base) at equivalence
Electrochemistry
Galvanic cells convert chemical energy into electrical energy through redox reactions. The cell potential depends on the electrodes used and is calculated from standard reduction potentials.
Electrochemistry
E°cell = E°cathode - E°anode
Crystal Structures
Crystals are ordered arrangements of atoms in repeating 3D patterns. Common structures include simple cubic, body-centered cubic (BCC), and face-centered cubic (FCC).
Crystal Structures
Crystal Properties
Thermochemistry
Thermochemistry studies energy changes in chemical reactions. Exothermic reactions release heat (negative ΔH), while endothermic reactions absorb heat (positive ΔH).
Thermochemistry
ΔH = H(products) - H(reactants)
Solubility Curves
Solubility describes how much solute dissolves in a solvent at a given temperature. Most solid solutes become more soluble at higher temperatures, but gases become less soluble.
Solubility Curves
Solubility (g/100mL)
Mole Calculator
The mole is the SI unit for amount of substance. One mole contains 6.022×10²³ particles (Avogadro's number). Molar mass links mass to moles.
Mole Calculator
n = mass / molar mass
VSEPR Molecular Geometry
VSEPR theory predicts molecular shapes by minimizing electron pair repulsion. The geometry depends on the number of bonding and lone pairs around the central atom.
VSEPR Geometry
Molecular Shape
Radioactive Decay
Radioactive isotopes decay at a characteristic rate measured by half-life — the time for half the atoms to decay. This follows an exponential decay curve.
Radioactive Decay
N(t) = N₀ × e^(−λt)
Lewis Dot Structures
Lewis structures show how valence electrons are arranged in molecules. Bonding pairs form covalent bonds; lone pairs remain on individual atoms.
Lewis Structures
Electron Configuration
Molar Mass Calculator
Molar mass is the mass of one mole of a substance in g/mol. It's calculated by summing the atomic masses of all atoms in the molecular formula.
Molar Mass Calculator
M = Σ (n × atomic mass)
Mathematics Lab
Interactive solvers, visualizations, and calculators for core math concepts.
Graphing Calculator
A function grapher lets you visualize mathematical relationships by plotting y = f(x). Enter any expression using standard math notation and see the curve instantly on a coordinate plane.
Supports: +, -, *, /, ^ (power), sin, cos, tan, log, ln, sqrt, abs, pi, e. Zoom with scroll wheel, pan by dragging.
Engineers use graphing to model stress curves, economists plot supply/demand, and physicists visualize waveforms.
Function
Info
Quadratic Equation Solver
A quadratic equation has the form ax² + bx + c = 0. Its graph is a parabola. The discriminant (b² − 4ac) determines whether the equation has two real roots, one repeated root, or two complex roots.
Enter coefficients a, b, and c to see the parabola, its roots (x-intercepts), vertex, and axis of symmetry.
Quadratics model projectile paths, profit optimization in business, and the shape of satellite dishes.
Coefficients
Results
Unit Circle & Trigonometry
The unit circle (radius = 1) is the foundation of trigonometry. Any angle θ measured from the positive x-axis defines a point (cos θ, sin θ) on the circle. The tangent equals sin θ / cos θ.
Drag on the circle or use the slider to explore how sine, cosine, and tangent change with the angle. Special angles show exact values.
GPS navigation, sound synthesis, animation curves, and AC electrical circuits all rely on trigonometric functions.
Controls
Trig Values
Geometry Calculator
Geometry is the study of shapes, sizes, and spatial relationships. This calculator lets you explore six fundamental shapes, adjusting their dimensions and seeing how area and perimeter change in real time.
Select a shape, adjust the sliders, and watch the shape redraw with labeled dimensions. Formulas update live.
Architects calculate floor areas, engineers design load-bearing shapes, and artists use geometry for perspective drawing.
Shape
Results
Statistics Visualizer
Statistics is the science of collecting, analyzing, and interpreting data. Key measures include the mean (average), median (middle value), mode (most frequent), and standard deviation (spread).
Enter your own dataset or load sample data. The histogram shows data distribution, with mean and median marked as reference lines.
Weather forecasting, medical trials, sports analytics, and opinion polls all depend on statistical analysis.
Data Entry
Results
Linear System Solver
A system of two linear equations in two unknowns can have one unique solution (lines intersect), no solution (parallel lines), or infinitely many solutions (same line). Cramer’s rule uses determinants to find the solution.
Enter the coefficients for two equations of the form ax + by = c. The graph shows both lines and their intersection.
Used in economics for supply-demand equilibrium, in engineering for force analysis, and in computer graphics for line intersections.
Equation 1
Equation 2
Solution
Number Base Converter
Computers store everything as binary (base 2), but humans prefer decimal (base 10). Hexadecimal (base 16) and octal (base 8) are compact ways to represent binary data. This tool converts between all four bases and shows the binary bit pattern.
Enter a number in any base, and see its representation in all others. The bit visualization shows which bits are on/off, grouped into nibbles (4 bits).
Every pixel color on screen is a hex code, IP addresses use binary, and file permissions in Unix use octal.
Input
Conversions
Matrix Calculator
Matrices are rectangular arrays of numbers used in linear algebra. Operations include addition, multiplication, determinant, and inverse calculations.
Matrix Calculator (2×2)
Probability Simulator
Probability measures the likelihood of events occurring. Experiment with dice rolls, coin flips, and card draws to see how experimental probability approaches theoretical probability.
Probability Simulator
P(event) = favorable / total
Sequences & Series
A sequence is an ordered list of numbers following a pattern. Arithmetic sequences have a common difference; geometric sequences have a common ratio. Series are sums of sequence terms.
Sequences & Series
aₙ = a₁ + (n-1)d | Sₙ = n(a₁+aₙ)/2
Pythagorean Theorem
In a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides: a² + b² = c². Drag the sliders to explore the relationship visually.
Pythagorean Theorem
a² + b² = c²
Derivatives Explorer
The derivative measures the instantaneous rate of change of a function. Visually, it represents the slope of the tangent line at any point on the curve.
Derivatives Explorer
f'(x) = lim[h→0] (f(x+h) - f(x))/h
Vectors Explorer
Vectors have both magnitude and direction. They can be added, subtracted, and multiplied (dot and cross products) to solve physics and engineering problems.
Vectors
Logarithms Explorer
A logarithm answers: "to what power must the base be raised to get this number?" Logarithms are the inverse of exponential functions.
Logarithms
log_b(x) = ln(x) / ln(b)
Integration Visualizer
Integration calculates the area under a curve. Riemann sums approximate this area using rectangles, converging to the exact value as the number of rectangles increases.
Integration
∫ₐᵇ f(x) dx
Trigonometric Graphs
Trig functions can be transformed by changing amplitude, frequency, phase, and vertical shift. The general form is y = A·f(Bx + C) + D.
Trig Graphs
y = A·f(Bx + C) + D
Complex Numbers
Complex numbers have a real and imaginary part (a + bi). They can be plotted on the Argand diagram and expressed in polar form as r(cos θ + i sin θ).
Complex Numbers
English Language Lab
Interactive tools for grammar, vocabulary, literary analysis, and writing skills.
Parts of Speech Explorer
Every word in English belongs to one of eight parts of speech: noun, pronoun, verb, adjective, adverb, preposition, conjunction, and interjection. Understanding parts of speech is the foundation of grammar—it helps you construct correct sentences, identify errors, and improve your writing style.
Type or paste a sentence below and the tool will highlight each word according to its part of speech, helping you see how words function within a sentence.
Parts of Speech Explorer
Enter a sentence to identify and colour-code each word by its part of speech.
Tenses & Verb Forms
English has twelve tenses formed by combining three time frames (past, present, future) with four aspects (simple, continuous, perfect, perfect continuous). Mastering tenses is essential for clear communication—they tell the reader exactly when an action happened and whether it is complete or ongoing.
Select a tense to see its structure, formula, signal words, and example sentences. Practice by converting sentences between different tenses.
Tenses & Verb Forms
Pick a tense to explore its structure, or enter a verb to see all twelve conjugations.
Active & Passive Voice
In active voice the subject performs the action (e.g., “The cat chased the mouse”), while in passive voice the subject receives the action (e.g., “The mouse was chased by the cat”). Knowing when to use each voice is a key writing skill tested in CBSE board exams.
Enter a sentence to convert it between active and passive voice. The tool shows the transformation steps so you understand the underlying rules.
Active & Passive Voice
Type a sentence in active or passive voice to see its conversion and the rules applied.
Direct & Indirect Speech
Direct speech quotes the exact words spoken (e.g., He said, “I am going”), while indirect (reported) speech rephrases them (e.g., He said that he was going). Converting between the two requires changes to tense, pronouns, and time expressions—a topic frequently tested in CBSE grammar sections.
Enter a sentence in direct or indirect speech and the tool will show the converted form along with all the changes applied.
Direct & Indirect Speech
Enter a sentence in direct or indirect speech to see the conversion rules in action.
Literary Devices
Literary devices are techniques writers use to create special effects and deeper meaning in their work. From similes and metaphors to alliteration and personification, these tools make literature vivid and memorable. Recognising them helps you score well in unseen passage and poetry questions in CBSE exams.
Browse the catalogue of literary devices, see definitions with examples from well-known texts, and test your ability to identify devices in sample passages.
Literary Devices
Select a device to learn its definition, or analyse a passage to spot devices used.
Word Roots & Etymology
Most English words are built from Latin and Greek roots, prefixes, and suffixes. Learning these building blocks is the fastest way to expand your vocabulary—knowing a single root can help you decode dozens of unfamiliar words. For example, the root “bene” (good) appears in benefit, benevolent, and benediction.
Search for a root, prefix, or suffix to see its meaning, origin, and a list of common words that use it. You can also enter an unfamiliar word to break it into its component parts.
Word Roots & Etymology
Enter a word or root to explore its origin and related vocabulary.
Punctuation Guide
Punctuation marks are the traffic signals of writing—they tell the reader when to pause, stop, or change direction. Correct punctuation prevents ambiguity (consider “Let’s eat, Grandma” versus “Let’s eat Grandma”) and is crucial for scoring well in CBSE editing and omission questions.
Browse each punctuation mark to learn its rules and common mistakes, or paste a paragraph to check for punctuation errors.
Punctuation Guide
Select a punctuation mark to learn its rules, or paste text to check for errors.
Clauses & Phrases
A clause contains a subject and a verb and can be independent (a complete thought) or dependent (needs another clause to make sense). A phrase is a group of words without a subject-verb pair that acts as a single part of speech. Understanding these building blocks helps you write complex, well-structured sentences.
Enter a sentence to see it broken down into its constituent clauses and phrases, each labelled by type (noun phrase, adverbial clause, etc.).
Clauses & Phrases
Enter a sentence to identify and label its clauses and phrases.
Subject-Verb Agreement
A singular subject takes a singular verb and a plural subject takes a plural verb—this is the core rule of subject-verb agreement. However, tricky cases like collective nouns, indefinite pronouns, and sentences with intervening phrases make this topic a common source of errors in both writing and CBSE grammar exercises.
Review the rules with interactive examples, then test yourself by choosing the correct verb form in practice sentences.
Subject-Verb Agreement
Choose the correct verb form or enter a sentence to check agreement.
Synonyms & Antonyms
Synonyms are words with similar meanings (e.g., happy/joyful) while antonyms have opposite meanings (e.g., happy/sad). A rich vocabulary of synonyms lets you avoid repetition and choose the precise shade of meaning, while knowing antonyms strengthens your comprehension and is essential for CBSE vocabulary questions.
Enter a word to discover its synonyms, antonyms, and related words. See how subtle differences in meaning affect which synonym fits best in a given context.
Synonyms & Antonyms
Enter a word to explore its synonyms, antonyms, and usage in context.
Sentence Types
English sentences are classified by purpose (declarative, interrogative, imperative, exclamatory) and by structure (simple, compound, complex, compound-complex). Understanding sentence types helps you vary your writing style for better flow and clarity—a skill directly tested in CBSE writing and grammar sections.
Enter a sentence to identify its type by both purpose and structure, or explore examples of each type and practise transforming one type into another.
Sentence Types
Enter a sentence to classify it, or browse examples of each sentence type.
Articles & Determiners
Articles (a, an, the) and determiners (this, that, some, many, etc.) come before nouns to clarify which noun is being referred to and how much of it. Using the wrong article is one of the most common mistakes in English. The rules depend on countability, specificity, and whether a word begins with a vowel sound.
Learn the rules for definite and indefinite articles, then fill in blanks in practice sentences to test your understanding.
Articles & Determiners
Learn the rules for a, an, and the, then practise with fill-in-the-blank exercises.
Prepositions
Prepositions are small but essential words (in, on, at, by, with, from, etc.) that show relationships of time, place, direction, or manner between other words. Choosing the correct preposition can be tricky because usage often depends on convention rather than strict logic. This module covers the most important preposition rules for CBSE students.
Explore prepositions grouped by category (time, place, movement), see usage rules with examples, and practise choosing the correct preposition in context.
Prepositions
Browse preposition categories or fill in blanks to practise correct usage.
Idioms & Phrases
An idiom is a phrase whose meaning cannot be understood from the literal meaning of its individual words—for example, “break the ice” means to make people feel comfortable, not to physically break ice. Idioms enrich your language and frequently appear in CBSE reading comprehension and vocabulary sections.
Browse a curated collection of common English idioms and phrases, learn their meanings and origins, and test yourself with matching exercises.
Idioms & Phrases
Browse idioms by category or search for an idiom to learn its meaning and usage.
Paragraph Structure
A well-written paragraph has a clear topic sentence, supporting details, and a concluding sentence. Understanding paragraph structure is fundamental to essay writing, letter writing, and all forms of composition tested in CBSE exams. Good paragraphs use transition words to guide the reader smoothly from one idea to the next.
Learn the components of an effective paragraph, see annotated examples, and practise organising jumbled sentences into coherent paragraphs.
Paragraph Structure
Explore paragraph components or reorder jumbled sentences into a coherent paragraph.
हिन्दी भाषा प्रयोगशाला
व्याकरण, साहित्य, और भाषा कौशल के लिए इंटरैक्टिव उपकरण।
Varnamala Explorer
Hindi alphabet (Swar & Vyanjan) explorer. Click any letter to hear pronunciation, see stroke order, and learn example words.
Select any letter from the Varnamala chart to explore its pronunciation, writing pattern, and usage in common Hindi words.
Varnamala Explorer
Click any letter to hear its pronunciation and see example words.
Matra & Vowel Signs
Learn how vowel signs (matras) combine with consonants to form syllables. Practice building words by selecting consonants and applying different matras.
Select a consonant and then choose a matra to see how they combine. Practice forming complete words using the word-building tool.
Matra & Vowel Signs
Select a consonant and apply matras to build syllables and words.
Sandhi Viched
Sandhi is the joining of two words where sounds merge or change. Explore Swar Sandhi, Vyanjan Sandhi, and Visarg Sandhi with interactive split/join exercises.
Choose a sandhi type and practice splitting compound words or joining two words to observe how sounds transform at the junction.
Sandhi Viched
Practice splitting and joining words to master sandhi rules.
Samas
Samas (compound words) combine two or more words into one. Explore six types: Tatpurush, Dvandva, Karmadharaya, Dvigu, Avyayibhav, and Bahuvrihi with examples.
Select a samas type to see its definition, rules, and examples. Try the classification exercise to test your understanding.
Samas
Explore compound word types and practice classification exercises.
Muhavare & Lokoktiyan
Hindi idioms (muhavare) and proverbs (lokoktiyan) add color and depth to language. Browse collections, learn meanings, and test yourself with flashcard mode.
Browse idioms and proverbs by category, read their meanings and usage examples, then switch to flashcard mode to test your recall.
Muhavare & Lokoktiyan
Browse idioms and proverbs, then test yourself with flashcards.
Ling & Vachan
Grammatical gender (ling) and number (vachan) affect word forms throughout Hindi. Practice identifying pulling (masculine) and stree (feminine) forms, and singular/plural transformations.
Select words to identify their gender and number, then practice converting between masculine/feminine and singular/plural forms.
Ling & Vachan
Practice identifying gender and number forms of Hindi words.
Kriya Bhed
Verbs (kriya) are the backbone of Hindi sentences. Explore six types: Sakarmak, Akarmak, Dvikarmak, Samyukt, Poorvakalik, and Prerna—each with conjugation examples.
Select a verb type to learn its definition, see conjugation patterns, and practice identifying verb types in sample sentences.
Kriya Bhed
Explore verb types and practice conjugation patterns.
Visheshan & Kriya-Visheshan
Adjectives (visheshan) describe nouns while adverbs (kriya-visheshan) modify verbs. Explore four types of each with interactive examples and classification exercises.
Browse adjective and adverb categories, study examples, and test your understanding with the classification exercise.
Visheshan & Kriya-Visheshan
Explore adjective and adverb types with classification exercises.
Sarvanam
Pronouns (sarvanam) replace nouns to avoid repetition. Study six types: Purushvachak, Nishchay, Anishchay, Sambandh, Prashna, and Nij—with example sentences.
Select a pronoun type to see its definition and examples, then practice identifying pronouns in sample sentences.
Sarvanam
Study pronoun types and practice identifying them in sentences.
Karak
Hindi has eight karaks (cases) that define a noun’s role in a sentence. Each karak uses specific vibhakti (postposition) markers. Explore all eight with interactive sentence analysis.
Select a karak to learn its vibhakti marker and role, then practice identifying karaks in sample sentences.
Karak
Explore all eight karaks and practice sentence analysis.
Alankar
Alankar (figures of speech) make Hindi poetry and prose beautiful. Explore Shabdalankar (sound-based) and Arthalankar (meaning-based) with examples from classic Hindi literature.
Select an alankar type to see its definition, rules, and literary examples. Try identifying alankars in sample passages.
Alankar
Explore figures of speech with examples from Hindi literature.
Paryayvachi & Vilom Shabd
Synonyms (paryayvachi) and antonyms (vilom) expand vocabulary and are essential for CBSE Hindi exams. Browse word groups and test yourself with interactive quizzes.
Browse synonym and antonym collections by category, then switch to quiz mode to test your vocabulary knowledge.
Paryayvachi & Vilom Shabd
Browse synonyms and antonyms, then test yourself with quizzes.
Upsarg & Pratyay
Prefixes (upsarg) attach before and suffixes (pratyay) attach after root words to create new meanings. Explore Sanskrit, Hindi, and Urdu-origin affixes with word-building exercises.
Select an affix category to browse prefixes or suffixes, then practice building new words by combining roots with affixes.
Upsarg & Pratyay
Explore prefixes and suffixes with word-building exercises.
Patra Lekhan
Letter writing (patra lekhan) is a key skill tested in Hindi board exams. Study formal (aupcharik) and informal (anaupcharik) letter formats with templates and practice exercises.
Choose a letter type to view its format template, then practice writing your own letters with guided structure prompts.
Patra Lekhan
Study letter formats and practice writing with guided templates.
Ras
Ras (aesthetic sentiment) is a foundational concept in Hindi literature. Explore all nine Nav Ras: Shringar, Hasya, Karuna, Raudra, Veer, Bhayanak, Bibhatsa, Adbhut, and Shant.
Select a ras to learn its sthayi bhav, vibhav, anubhav, and sanchari bhav with examples from Hindi poetry and drama.
Ras
Explore the nine Nav Ras with literary examples and analysis.
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