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Physics Formulas &
Concept Explainers

A highly-structured, retrieval-optimized library designed for instant conceptual clarity. Stop memorizing symbols—understand the physics behind the equations.

Mechanics

Newton's Second Law of Motion

Definition

The rate of change of momentum of a body is directly proportional to the applied external net force, and takes place in the direction in which the force acts.

Fnet = m × a
(or F = dp/dt)
Variable Legend

Fnet = Net external force (Newtons, N)
m = Mass of the object (kg)
a = Acceleration vector (m/s²)

⚠️ Common Mistake (JEE/NEET)

Students often forget that F must be the net external force. Internal forces (like tension between two blocks moving together as a system) do not contribute to the acceleration of the center of mass of the entire system.

Translational Kinetic Energy

Definition

The energy possessed by a body by virtue of its linear motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

K = ½ m v2
(Momentum relation: K = p² / 2m)
Variable Legend

K = Kinetic Energy (Joules, J)
m = Mass (kg)
v = Velocity magnitude/speed (m/s)
p = Momentum (kg·m/s)

⚠️ Common Mistake (JEE/NEET)

Using velocity as a vector inside the square. Kinetic energy is a scalar quantity. It depends on the speed squared, not the velocity vector. Therefore, kinetic energy can never be negative.

Electrodynamics

Coulomb's Law

Definition

The magnitude of the electrostatic force of attraction or repulsion between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them.

F = k (|q1| |q2|) / r2
Variable Legend

F = Electrostatic Force (Newtons, N)
k = Coulomb's constant ≈ 9 × 109 N·m²/C²
q1, q2 = Point charges (Coulombs, C)
r = Distance between charges (m)

⚠️ Common Mistake (JEE/NEET)

Applying Coulomb's Law to extended charged bodies (like large spheres at close distances) instead of treating them purely as point charges or finding the correct effective center.

Modern Physics

Einstein's Photoelectric Equation

Definition

The maximum kinetic energy of an emitted photoelectron is equal to the energy of the incident photon minus the minimum energy required to eject the electron from the surface (work function).

Kmax = hf - Φ
(or eV0 = hc/λ - Φ)
Variable Legend

Kmax = Maximum Kinetic Energy (Joules or eV)
h = Planck's constant (6.626 × 10-34 J·s)
f = Frequency of incident light (Hz)
Φ (Phi) = Work function of the material (Joules or eV)
V0 = Stopping potential (Volts)

⚠️ Common Mistake (JEE/NEET)

Confusing the units. Work function and kinetic energy are frequently given in electron-volts (eV), but Planck's constant (h) is often used in SI units (J·s). Students forget to use the conversion 1 eV = 1.6 × 10-19 J, or use hc = 1240 eV·nm for faster calculations.

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