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)
18. Waves & Sound
Wave Interference
18. Waves & Sound
Wave Interference: Study with Video Lessons, Practice Problems & Examples
28PRACTICE PROBLEM
Two identical tuning forks P and Q, placed at the same position, are playing sounds of frequency 650 Hz. A person is 6.50 m away to the right from this initial position. The tuning fork P is gradually moved away to the left while Q is kept still, as shown in the figure. For a certain position of the tuning fork P, the person first hears a destructive interference. Determine the distance between P and Q for which the next destructive interference will be heard. Assume that the speed of sound in air is 343 m/s.
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Two identical tuning forks P and Q, placed at the same position, are playing sounds of frequency 650 Hz. A person is 6.50 m away to the right from this initial position. The tuning fork P is gradually moved away to the left while Q is kept still, as shown in the figure. For a certain position of the tuning fork P, the person first hears a destructive interference. Determine the distance between P and Q for which the next destructive interference will be heard. Assume that the speed of sound in air is 343 m/s.