🚀 Projectile Motion
Kinematics
What's happening? The cannonball follows a parabolic path. Range = u²sin2θ/g. Try 45° for maximum range. Notice how the velocity components vx and vy change during flight.
⚡ Newton's Laws + Friction
Dynamics
What's happening? Net force = F - μmg. If applied force is less than friction, the block stays still. Increase force or decrease μ to see acceleration. F = ma is the core of JEE dynamics.
🔄 Simple Harmonic Motion
Oscillations
What's happening? ω = √(k/m). Bigger k = faster oscillation. Bigger mass = slower. Watch KE and PE trade places — total energy stays constant.
🎯 Circular Motion
Rotational
What's happening? Velocity is always tangent to the circle. Acceleration always points toward center. F_c = mω²r. Increase ω and watch the centripetal force grow.
⚛️ Coulomb's Law
Electrostatics
What's happening? F = kq₁q₂/r². Same signs repel, opposite signs attract. Notice how halving the distance quadruples the force — that's the inverse square law.
💡 Ohm's Law Circuit
Current Electricity
What's happening? I = V/R. More voltage = more current = brighter bulb. More resistance = less current = dimmer bulb. Watch the green particles flow faster with higher current.
🌊 Wave Superposition
Waves
What's happening? When waves are in phase (0°), they add constructively. At 180°, they cancel. This is interference — the foundation of Young's double-slit experiment.
🪐 Orbital Motion
Gravitation
What's happening? For a stable orbit, gravity must equal centripetal force. Too slow = falls inward. Too fast = escapes. This is how satellites stay in orbit.
🔥 PV Diagrams (Thermodynamics)
Thermodynamics
What's happening? Work done = area under the P-V curve. Isothermal curves are steeper than adiabatic. Constant volume does zero work. This is the heart of JEE thermodynamics.
🔍 Ray Optics (Lens)
Optics
What's happening? 1/f = 1/v + 1/u. Object beyond 2f gives real inverted image. Object between f and 2f gives magnified image. Object inside f gives virtual upright image.
🔌 RLC Circuit Resonance
AC Circuits
What's happening? At resonance ω₀ = 1/√(LC), inductive reactance equals capacitive reactance. Impedance Z is minimum, current is maximum. Quality factor Q = ω₀L/R determines sharpness.
⚡ Kirchhoff's Laws
Current Electricity
What's happening? KCL: sum of currents at junction = 0. KVL: sum of voltage drops around loop = 0. Watch how changing one resistor affects all currents in the circuit.
🧲 Biot-Savart Law
Magnetism
What's happening? Biot-Savart law: B = (μ₀/4π) × (I dl × r̂)/r² for current. Magnetic field circles around the wire. Halving distance quadruples field strength.