All formula in physics advance level

Here are more key formulas for advanced level physics, continuing from Mechanics:

7. Waves

$$v = f\lambda$$ $$I = \frac{P}{A}$$ $$n_1 \sin\theta_1 = n_2 \sin\theta_2$$ $$n = \frac{c}{v}$$ $$\lambda = \frac{ax}{D} \quad \text{(Young's double slit)}$$ $$n\lambda = d\sin\theta \quad \text{(Diffraction grating)}$$

8. Electricity and Magnetism

$$V = IR$$ $$P = VI = I^2R = \frac{V^2}{R}$$ $$R = \frac{\rho L}{A}$$ $$Q = CV$$ $$E = \frac{1}{2}CV^2 = \frac{1}{2}\frac{Q^2}{C}$$ $$\varepsilon = I(R+r)$$ $$F = qE$$ $$E = \frac{V}{d}$$ $$F = \frac{1}{4\pi\varepsilon_0}\frac{q_1 q_2}{r^2}$$ $$F = BIL\sin\theta$$ $$F = Bqv\sin\theta$$ $$\Phi = BA\cos\theta$$ $$\varepsilon = -N\frac{\Delta\Phi}{\Delta t}$$ $$\frac{N_s}{N_p} = \frac{V_s}{V_p} = \frac{I_p}{I_s} \quad \text{(Ideal transformer)}$$

9. Thermal Physics

$$Q = mc\Delta T$$ $$Q = mL$$ $$PV = nRT = NkT$$ $$E_k = \frac{3}{2}kT \quad \text{(Average kinetic energy of a gas molecule)}$$ $$\Delta U = Q - W \quad \text{(First Law of Thermodynamics)}$$

10. Modern Physics

$$E = hf = \frac{hc}{\lambda}$$ $$hf = \phi + E_{k,max} \quad \text{(Photoelectric effect)}$$ $$\lambda = \frac{h}{p} = \frac{h}{mv} \quad \text{(De Broglie wavelength)}$$ $$E = mc^2$$ $$N = N_0 e^{-\lambda t}$$ $$A = A_0 e^{-\lambda t}$$ $$T_{1/2} = \frac{\ln 2}{\lambda}$$