Interactive Virtual Physics Laboratory
Directly integrated with PhyLab Studio. Explore mechanics, geometric optics, electromagnetism, and modern physics through accurate computational models.
Physics Learning & Reference Guide for School and University Students
PhyLab Studio combines accurate computational models with visual interaction so learners can build physical intuition, test laws, and retrieve formulas.
Secondary Students (Grades 10–12)
Visualize harmonic motion, pendulums, standing waves, refraction, RLC circuits, and the photoelectric effect for national, AP Physics, and IB preparation.
- Change m, l, g, k, resistance R, capacitance C, and inductance L in real time.
- Follow dynamic x–v–a plots and Fresnel phasor diagrams.
- Measure periods and frequencies, then test energy conservation with analyzable error.
University & Engineering Students
Test general and modern physics through Newton's rings, the Hall effect, Compton scattering, the Carnot cycle, and Schrödinger potential wells.
- Analyze wavefunctions ψₙ(x) and probability densities |ψₙ(x)|² in a quantum well.
- Study Carnot cycles on P–V and T–S diagrams and calculate efficiency η.
- Explore Lorentz length contraction and time dilation in special relativity.
Quick Physics Reference
Retrieve the international physical constants c, h, e, ε₀, μ₀, kB and standard formulas for problems, experiments, and exams.
- Formula sets for mechanics, thermodynamics, electromagnetism, waves, optics, and quantum physics.
- An integrated data notebook and experiment stopwatch.
- English–Vietnamese terminology aligned with international physics nomenclature.
Key Physics Modules in PhyLab Studio
1. Harmonic Oscillations & Physical Pendulum
Physical Pendulum Period: $T = 2\pi\sqrt{\frac{I}{mgd}}$
Steiner-Huygens Theorem: $I = I_{\text{cm}} + md^2$
Simulate rigid body rotation, parallel axis theorem, Kater's reversible gravity pendulum, and rolling without slipping.
2. Wave Optics & Newton's Rings
Dark Rings Radius: $r_k = \sqrt{\frac{k \lambda R}{n}}$
Air Wedge Spacing: $i = \frac{\lambda}{2\alpha}$
Trace thin-film interference fringes with $\pi$ phase shift at optical reflection boundaries and nanometer precision flatness testing.
3. Doppler Effect & Mach Shockwaves
Doppler Shift: $f' = f_0 \left(\frac{v \pm v_O}{v \mp v_S}\right)$
Mach Cone Angle: $\sin\mu = \frac{v}{v_S} = \frac{1}{M}$
Interactive real-time sound source motion with Web Audio API synthesis and supersonic Sonic Boom shockwave cone visualization.
4. Quantum Compton Scattering
Compton Wavelength Shift: $\Delta\lambda = \lambda_C (1 - \cos\theta)$
Compton Wavelength: $\lambda_C = \frac{h}{m_e c} \approx 2.426\text{ pm}$
Quantum elastic collision between high-energy X-ray photon and free electron proving light particle momentum $p = h/\lambda$.
5. Carnot Heat Engine & 2nd Law Entropy
Carnot Max Efficiency: $\eta = 1 - \frac{T_C}{T_H} = \frac{W}{Q_H}$
Reversible Entropy Loop: $\Delta S_{\text{cycle}} = \oint \frac{\delta Q}{T} = 0$
Four-stroke isothermal and adiabatic reversible processes with real-time $P-V$ and $T-S$ indicator diagrams.
6. Hall Effect & Semiconductor Carrier Density
Hall Voltage: $V_H = \frac{I B}{n q d} = R_H \frac{I B}{d}$
Hall Coefficient: $R_H = \frac{1}{nq}$
Lorentz force charge deflection in metals and N/P-type semiconductor slabs to determine majority carrier concentration $n$.
7. Fluid Dynamics: Bernoulli's Law & Venturi Tube
Bernoulli Conservation: $P_1 + \frac{1}{2}\rho v_1^2 = P_2 + \frac{1}{2}\rho v_2^2$
Continuity Equation: $A_1 v_1 = A_2 v_2 = Q$ | Airfoil Lift: $F_L = C_L \frac{1}{2}\rho v^2 S$
Explore static/dynamic pressure drops in constricted pipes and aerodynamic lift generated across aircraft wings.
8. Kinetic Theory & Maxwell-Boltzmann Distribution
Maxwell Density: $f(v) = 4\pi \left(\frac{M}{2\pi R T}\right)^{3/2} v^2 e^{-\frac{M v^2}{2 R T}}$
Characteristic Speeds: $v_p = \sqrt{\frac{2RT}{M}} < \overline{v} < v_{\text{rms}} = \sqrt{\frac{3RT}{M}}$
Live 2D molecular chaos collisions and dynamic Maxwell-Boltzmann speed distribution curve broadening with temperature.
9. Light Polarization, Malus's Law & Brewster's Angle
Malus's Law: $I_2 = I_1 \cos^2\theta$
Brewster Polarization Angle: $\tan i_B = \frac{n_2}{n_1} \implies i_B + r = 90^\circ$
Dual rotatable Polaroids testing transverse wave extinction and 100% linear polarization via dielectric interface reflection.
10. Solenoid Magnetic Field & Biot-Savart Law
Uniform Solenoid Field: $B = \mu_0 \mu_r n I = \mu_0 \mu_r \left(\frac{N}{L}\right) I$
Magnetic Energy Density: $u_m = \frac{B^2}{2 \mu_0 \mu_r}$
Trace closed helical magnetic field lines, soft iron core permeability amplification ($\mu_r = 800$), and axial Gaussmeter probing.
11. Einstein's Special Relativity & Lorentz Contraction
Lorentz Factor: $\gamma = \frac{1}{\sqrt{1 - v^2/c^2}}$
Length Contraction: $L = \frac{L_0}{\gamma}$ | Time Dilation: $\Delta t = \gamma \Delta t_0$
Relativistic starship velocity approaching speed of light $c$, spaceship spatial contraction, and zigzag bouncing light clock time dilation.
12. Quantum Mechanics: 1D Potential Box & Schrödinger
Energy Eigenvalues: $E_n = \frac{n^2 h^2}{8 m L^2}$ | De Broglie: $\lambda_n = \frac{2L}{n}$
Stationary Wavefunction: $\psi_n(x) = \sqrt{\frac{2}{L}} \sin\left(\frac{n\pi x}{L}\right)$
Visualize electron standing probability densities $|\psi_n(x)|^2$, wave nodes, and quantum photon emission upon state de-excitation.
