Class 12 Physics: Chapter-Wise Formula Cheat Sheet for NEET & JEE
Mastering the Class 12 Physics syllabus requires an absolute command over mathematical expressions, vector relationships, and numerical constants. Crucial for high ranks in NEET and JEE Main, this comprehensive formula sheet covers all aspects of Electrodynamics, Optics, and Modern Physics. The high-resolution secure image stack above contains all formula pages elegantly condensed. Review the key structural equations below, packed with high-frequency test targets.
1. Electrostatics & Current Electricity
- Coulomb's Law & Electric Field: Force is $F = \frac{1}{4\pi\varepsilon_0}\frac{q_1q_2}{r^2}$. Electric field due to an axial dipole is $E_{axis} = \frac{1}{4\pi\varepsilon_0}\frac{2p}{r^3}$.
- Gauss's Law Applications: Electric field due to an infinite thin straight wire is $E = \frac{\lambda}{2\pi\varepsilon_0 r}$.
- Capacitance: Energy stored in a capacitor is $U = \frac{1}{2}CV^2 = \frac{Q^2}{2C}$.
- Drift Velocity & Mobility: Relation between current and drift speed is $I = nAev_d$, where mobility is $\mu = \frac{v_d}{E}$.
2. Magnetic Effects, EMI & AC
- Biot-Savart & Ampere's Law: Magnetic field at the center of a circular loop is $B = \frac{\mu_0 I}{2R}$.
- Cyclotron Frequency: Time period of a revolving charge in a magnetic field is $T = \frac{2\pi m}{qB}$.
- Faraday's & Lenz's Law: Induced electromotive force (EMF) is given by $e = -\frac{d\phi}{dt}$. Motional EMF is $e = Blv$.
- Alternating Current (LCR Circuit): Impedance is $Z = \sqrt{R^2 + (X_L - X_C)^2}$ and Resonant frequency is $\omega_r = \frac{1}{\sqrt{LC}}$.
3. Ray Optics & Wave Optics
- Lens Maker's Formula: Crucial for JEE and NEET: $\frac{1}{f} = (\mu - 1)\left(\frac{1}{R_1} - \frac{1}{R_2}\right)$.
- Prism Formula: Refractive index $\mu = \frac{\sin\left(\frac{A + \delta_m}{2}\right)}{\sin\left(\frac{A}{2}\right)}$.
- Young's Double Slit Experiment (YDSE): Fringe width equation is $\beta = \frac{\lambda D}{d}$. Position of $n^{th}$ bright fringe is $y = \frac{n\lambda D}{d}$.
- Brewster's Law (Polarization): Refractive index linked to polarizing angle: $\mu = \tan i_p$.
4. Modern Physics & Semiconductor Devices
- Einstein's Photoelectric Equation: Maximum kinetic energy is $K_{max} = h\nu - \phi_0 = eV_0$ (where $V_0$ is stopping potential).
- De Broglie Wavelength: $\lambda = \frac{h}{p} = \frac{h}{\sqrt{2mK}} = \frac{12.27}{\sqrt{V}}\,\text{Å}$ (for electrons).
- Bohr's Atomic Model: Radius of $n^{th}$ orbit is $r_n \propto \frac{n^2}{Z}$ and Energy is $E_n = -13.6\frac{Z^2}{n^2}\,\text{eV}$.
- Radioactive Decay Law: Remaining nuclei formula is $N = N_0 e^{-\lambda t}$, and Half-life is $T_{1/2} = \frac{0.693}{\lambda}$.
Consistently revising these core formulas is essential to mastering Class 12 Physics. This quick reference targets the highest-scoring chapters in electrodynamics, wave physics, optics, and quantum metrics seen in national-level evaluation exams.