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Waves

This document provides comprehensive homework answers related to waves, light, and sound for Mr. Rockensies’ Regents Physics class. Key topics include the law of reflection, wave interactions (constructive and destructive interference), and the principle of superposition. Students will learn about the formation of standing waves, nodes, and antinodes, alongside the concept of sympathetic vibration. Each section includes relevant equations and definitions to assist with understanding the behavior of waves in different mediums.

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Waves

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  1. Waves Light & Sound Regents Physics Mr. Rockensies

  2. Homework Answers 29) 432 m 30) 45 m 31) 8 s 32) 22 m 33) DE 34) 1 m/s 35) CD 36) AB (accelerating); EF, GH (decelerating) 22) 32 m 23) 0.4286 s 24) 3.03 s 25) 0 m 26) 2 m/s 27) 2 m/s2 28) 7.35 m

  3. Law of Reflection θi = angle of incidence θr = angle of reflection (both measured from the normal) θi normal θr θi = θr Rigid Boundary

  4. crest trough Rigid Boundary Orientation is inverted when reflecting off a rigid boundary

  5. Wave Interactions Interference – two waves occupy the same medium at the same time. It can either be constructive or destructive. Principle of Superposition – when waves overlap, add their amplitudes

  6. Before A1 A2 During A1 + A2 constructive interference After A2 A1

  7. Before +A -A During destructive interference After +A -A

  8. General

  9. Resonance Every medium has “natural frequencies” at which it likes to vibrate, due to length, tension, density, etc. When vibrating at these frequencies, constructive and destructive interference keep occurring at the same place. A “standing wave” is formed with Nodes (points of destructive interference) and Anti-Nodes (points of maximum constructive interference)

  10. Wave Diagram AN AN N N N N AN Sympathetic Vibration – When one object resonates, a second nearby object begins to vibrate at the same frequency

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