# WAVES

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- Created by: Norman Abadiano
- Created on: 04-04-13 23:17

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- WAVES
- Progressive
- Carries energy from 1 point to the other
- Doesn't Transfer any material
- Transfers energy away from source
- Doesnt need a medium to travel in

- Components
- Amplitude
- Wavelength
- Velocity= Wavlength / Time period

- Trough and Crests
- Frequency
- Inverse of the Time period
- Frequency = 1oscillation / Time period

- Velocity = Frequency x Wavelength
- Velocity= Wavlength / Time period

- Inverse of the Time period

- Longituidinal
- Oscillations are parallel to the direction of travel
- Sound waves

- Transverse
- Oscillations are at rightangles to the direction of travel
- Electromagnetic waves

- Reflection
- Wave Bounces back when it hits a bounday
- Standing/ Stationary Waves
- Waves Reflected
- Nodes
- Points on the wave where there is no displacement /Amplitude

- Anti-Nodes
- Points on the wave where there is maximum displacement / amplitude

- Doesn't Transfer energy
- Fundamental Frequency (f0)
- The lowest resonant frequency
- f0 in stringsis l = wavelength / 2
- f0 in closed pipes is l= Wavelength / 4
- f0 in open pipes is l= Wavelength / 2

- Progressive
- Carries energy from 1 point to the other
- Doesn't Transfer any material
- Transfers energy away from source
- Doesnt need a medium to travel in

- Waves Reflected

- Standing/ Stationary Waves

- Wave Bounces back when it hits a bounday
- Refraction
- Waves change speed and direction when they enter a new medium
- Refractive Index
- How much a material slows down light
- The more optically dense a medium, the more light slows down in it
- Light slows down due to interaction with the particles

- The more optically dense a medium, the more light slows down in it
- Absolute Refractive index is the ratio of the speed of light in vacum and it's speed in the medium
- u = c / v

- Relative refractive index is the ration of speed of light in mediumto medium 2
- 1u2 = v1 / v2
- 1u2 = sin1 / sin2

- 1u2 = v1 / v2
- Snells Law
- Using angles to calculate the refractive index
- u1 sin i = u2 sin r
- Internal Reflection
- i > c (total internal reflection)
- i = c (light is refracted 90 degrees from normal)
- i < c (light passes through the glass and refracts)
- At c (critical angle)
- Snells law states ( u glass sin i = u air sin r)
- u air sin 90 = 1
- u glass sin i = 1
- u glass = 1 / sin i
- THEREFORE ( u1 = 1 / sin c)
- Sin i = Sin C (which is the critical angle

- Sin i = Sin C (which is the critical angle

- THEREFORE ( u1 = 1 / sin c)

- u glass = 1 / sin i

- u glass sin i = 1
- u glass sin i = 1
- u glass = 1 / sin i
- THEREFORE ( u1 = 1 / sin c)

- THEREFORE ( u1 = 1 / sin c)

- u glass = 1 / sin i

- u air sin 90 = 1

- Snells law states ( u glass sin i = u air sin r)
- u air sin 90 = 1

- i = c (light is refracted 90 degrees from normal)
- At c (critical angle)
- Snells law states ( u glass sin i = u air sin r)

- Snells law states ( u glass sin i = u air sin r)

- i > c (total internal reflection)

- How much a material slows down light

- Refractive Index

- Waves change speed and direction when they enter a new medium

- Progressive

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