Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
34. Wave Optics
Diffraction with Huygen's Principle
34. Wave Optics
Diffraction with Huygen's Principle: Study with Video Lessons, Practice Problems & Examples
3PRACTICE PROBLEM
Consider an experimental setup where three equally spaced and equal-intensity coherent sources of green light (L1, L2, and L3) are placed in a line. Using the phasor method and phase difference 𝛿=λ2πdsinθ, determine the relative intensity I/I0 of the light at point S.
![Diagram showing three coherent green light sources L1, L2, L3 and point S with distance d and angle θ.](data:image/png;base64,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)
Consider an experimental setup where three equally spaced and equal-intensity coherent sources of green light (L1, L2, and L3) are placed in a line. Using the phasor method and phase difference 𝛿=λ2πdsinθ, determine the relative intensity I/I0 of the light at point S.