I. Waves & Oscillations
• Simple Harmonic Motion (SHM)
◦ SHM: energy of vibration [Derivation] (2021)
◦ SHM: velocity, acceleration, displacement time [Numerical] (2021)
◦ SHM: definition, representation, displacement velocity [Definition, Explanation, Graphical representation] (2022)
◦ SHM: oscillatory behavior, velocity & acceleration vs displacement [Explanation, Derivation] (2023)
◦ SHM: definition, diff equation, solution [Definition, Derivation] (2024)
◦ Two simultaneous SHM: resultant vibration expression [Derivation, Calculation] (2024)
• Damped and Forced Oscillations
◦ Damped vibration: applications [Explanation, Discussion] (2021)
◦ Damped LCR circuit: diff equation, critical damping discussion [Derivation, Discussion] (2021)
◦ Particle vibration: frequency for displacement resonance [Numerical] (2021)
◦ Damped LCR circuit: displacement expression, critical damping [Derivation, Discussion] (2023)
◦ Inductive circuit: condenser discharge frequency [Numerical] (2023)
◦ Quality factor: energy loss in damped oscillator derivation [Derivation] (2024)
◦ Damped oscillator: displacement expression, max displacement [Derivation, Calculation] (2024)
◦ LCR circuit: frequency, quality factor [Numerical] (2024)
• Wave Phenomena (General)
◦ Superposition principle: validity in homogeneous equation [Explanation, Condition] (2021)
◦ Phase & group velocity: definition [Definition] (2021)
◦ Standing waves: properties [Explanation, Properties] (2021)
◦ Plane progressive wave: energy density expression (symbols meaning) [Derivation, Explanation] (2021, 2023)
◦ Superposition principle, beats, ultrasonic sound: explanation [Explanation] (2022)
◦ Doppler effect (sound): apparent frequency derivation [Derivation] (2022)
◦ Apparent frequency (engine): speed calculation (sound moving away) [Numerical] (2022)
◦ Group velocity: wave propagation (dependence on medium) [Explanation] (2022)
◦ Group velocity & phase velocity: relation [Derivation] (2023)
◦ Intensity level: change with 100x intensity [Numerical] (2023)
◦ Beats: definition, production, frequency difference [Definition, Explanation] (2024)
◦ Stationary wave: energy transfer (mathematical proof) [Explanation, Proof] (2024)
◦ Sound source: frequency, amplitude, velocity, density calculation [Numerical] (2024)
• Acoustics
◦ Acoustic wave: intensity, pressure, air intensity level (100 dB) [Numerical] (2021)
◦ Sabine’s Reverberation formula: explanation [Explanation] (2022)
◦ Acoustic wave: intensity, pressure, air intensity level (80 dB) [Numerical] (2022)
◦ Auditorium: good requirements [Explanation] (2023)
◦ Sound decay in auditorium: Sabine’s reverberation formula derivation [Derivation] (2023)
◦ Room acoustics: mean free path, reflections calculation [Numerical] (2023)
• Lissajous Figures
◦ Lissajous figures: derivation from SHM, phase difference discussion [Derivation, Discussion] (2022, 2024)
II. Optics
• Interference
◦ Coherent sources: properties, phase difference (why independent sources aren’t coherent) [Explanation, Reasoning] (2021)
◦ Young’s double slit: intensity distribution, constructive interference [Derivation, Explanation] (2021)
◦ Interference: incoherent sources, Newton’s rings vs bi-prism [Explanation, Discussion] (2022)
◦ Interference: thin film (refracted light) discussion [Discussion] (2022)
◦ Newton’s rings: diameter of 3rd bright ring, wavelength calculation [Numerical] (2022)
◦ Interference: conditions [Explanation, Discussion] (2023)
◦ Newton’s rings: wavelength determination method [Explanation, Method] (2023)
◦ Bi-prism: fringe width calculation [Numerical] (2023)
◦ Huygens principle: fringe spacing derivation [Derivation, Explanation] (2024)
◦ Interference vs diffraction: differences [Distinction] (2024)
◦ Newton’s ring experiment: diameter of 15th ring, wavelength calculation [Numerical] (2024)
• Diffraction
◦ Fraunhofer single slit: intensity distribution derivation [Derivation] (2021, 2022)
◦ Double slit diffraction: definition, distinction [Definition, Distinction] (2023)
◦ Resolving power of grating: definition [Definition] (2022)
◦ Resolving power of grating: expression, applications [Derivation, Explanation] (2023)
◦ Plane transmission grating: diffraction angle, lens number calculation [Numerical] (2023)
• Polarization
◦ Malus’s Law & Brewster’s Law: definition [Definition] (2021)
◦ Ordinary vs extraordinary rays: distinction [Explanation, Distinction] (2021)
◦ Brewster’s angle of light from air to glass/medium: derivation [Derivation] (2021)
◦ Polarizer & analyzer: meaning, applications of polarization [Definition, Explanation] (2022)
◦ Polarization by reflection: reflected/refracted rays at right angle (proof) [Proof] (2022, 2023)
◦ Nicol prism: polarizer/analyzer use [Explanation] (2023)
◦ Specific rotation: definition [Definition] (2023)
◦ Crown glass: refractive index, polarizing angle calculation [Numerical] (2023)
◦ Double refraction & Brewster’s law / polarization by refraction: explanation [Explanation] (2024)
• Lenses and Aberrations
◦ Chromatic aberration: definition [Definition] (2021)
◦ Lenses in contact: ratio of dispersive powers for achromatic combination [Derivation, Proof] (2021)
◦ Two thin convex lenses: equivalent focal length [Numerical] (2021)
III. Quantum Physics & Modern Physics
• Photoelectric Effect & Quantum Theory of Light
◦ Quantum theory of light: definition [Definition] (2021)
◦ Photoelectric effect: current vs potential, intensity, frequency graphs [Diagram, Explanation] (2021)
◦ Photoelectric effect: stopping potentials for different frequencies [Explanation, Analysis] (2021)
◦ Definitions: photoelectric current, work function, threshold freq, phase/group velocity [Definition] (2022)
◦ Einstein’s photoelectric equation & laws: derivation [Derivation, Explanation] (2023)
◦ Quanta, Compton effect: symbols, meaning [Definition, Explanation] (2023)
◦ Quantum theory of light: behavior vs classical [Explanation, Comparison] (2024)
◦ Threshold wavelength: stopping potential calculation, intensity/frequency effects [Numerical, Explanation] (2024)
• Compton Effect
◦ Compton shift: independence on wavelength of incident photon [Proof, Explanation] (2021)
◦ Compton effect: basic equation [Explanation, Equation] (2022)
◦ Compton shift: theory, wavelength change expression [Explanation, Derivation] (2024)
• De-Broglie Wavelength
◦ Electron de-Broglie wavelength: KE, phase & group velocities calculation [Numerical, Calculation] (2021)
◦ Wavelength of thermal neutron: calculation [Numerical] (2022)
• Uncertainty Principle & Quantum Numbers
◦ Magnetic & total angular quantum number: discussion [Discussion] (2022)
◦ Excited atom: lifetime, energy uncertainty calculation [Numerical] (2023)
◦ Correspondence principle: definition, quantum numbers, space quantization [Definition, Discussion] (2024)
◦ Electron in nucleus: impossibility (using uncertainty principle) [Proof, Explanation, Application] (2022, 2024)
• Atomic Models
◦ Bohr model: postulates, radius/energy for H2 [Explanation, Derivation] (2024)
• Relativity
◦ Einstein mass-energy relation & classical kinetic energy: proper time derivation [Derivation] (2021)
◦ Mass-less particle: energy expression derivation [Derivation] (2021)
◦ Particle energy: KE, rest mass, speed (rest mass & speed calculation) [Numerical] (2021)
◦ Quantum vs classical physics: large quantum numbers limit [Explanation, Discussion] (2022)
IV. Nuclear Physics
• Nuclear Properties
◦ Nucleus: general properties [Discussion] (2021, 2022, 2024)
◦ Alpha & Beta particles: properties [Discussion, Properties] (2022)
◦ Nuclear fission & fusion: explanation with examples, alpha/beta properties [Explanation, Properties] (2023)
• Radioactivity & Half-life
◦ Secular equilibrium: discussion [Discussion] (2021, 2022)
◦ Half-life of U-238: remaining percentage after time [Numerical] (2021, 2022)
◦ Chain reactivity, C-N cycle, fusion energy: discussion [Discussion] (2021)
◦ Radioactive nucleus: decay constant, mean life relation [Derivation, Proof] (2024)
◦ Half-life of Radium: remaining amount after time [Numerical] (2024)
• Nuclear Fission & Fusion
◦ Nucleus: binding energy curve, fission/fusion (drawing and explanation) [Explanation, Diagram] (2024)
• Nuclear Reactors
◦ Nuclear reactor: construction, working principle (diagram) [Explanation, Diagram] (2023, 2024)
◦ Binding energy of Li nucleus: calculation (in Joules) [Numerical] (2023)
◦ Chain reaction: criticality, conditions [Explanation] (2024)
◦ Nuclear power plant: U-235 fission energy, power calculation [Numerical] (2024)