important units:
-degree (º)
-hertz (Hz)
-metre (m)
-metre/second (m/s)
-second (s)
waves:
-gaves transfer energy and information without transferring matter; the particles oscillate about a fixed point
-transverse waves
-longitudinal waves
transverse waves:
-have peaks and troughs
-vibrations are at right angles (perpendicular) to the direction of travel
-e.g. light
longitudinal waves:
-consist of compressions (particles pushed together) and rarefractions (particles moved apart)
-vibrations are in the same direction (parallel) as the direction of travel
-e.g. sound
important definitions: amplitude, wavefront, frequency, wavelength and time period
-amplitude: the distance from the equilibrium position to the maximum displacement
-wavefront: a line joining point on a wave at the same point in their wave cycle at a given time
-frequency: the number of waves that pass a single point per second
-wavelength: the distance between a point on one wave and the same point on the next wave
-time period: the time taken for one complete wave to pass a fixed point
formula linking speed of a wave, frequency and wavelength:
-the speed of a wave is equal to the product of the frequency and wavelength:
speed = frequency x wavelength
v = f λ
formula linking frequency and time period:
-the frequency of a wave is equal to the recirprocal of the time period, measure in Hertz (Hz):
frequency = 1/time period
f = 1/T
the Doppler Effect:
-if a wave source is moving relative to an observer, there will be a change in the observed frequency and wavelength due to the Doppler Effect
-this is because the wavefronts either get bunched together or space apart
-an example of this is when the siren of an ambulance is high-pitched as it approaches you, and low-pitched as it goes away
reflection:
-all waves can be reflected when they travel from a medium of low optical density (such as air) to one of much higher optical density (such as glass)
-the law of reflection states that:
angle of incidence = angle of reflection
-frequency, wavelength and speed are all unchanged
refraction:
-all waves can be refracted, which is when the speed of a wave changes when it enters a denser new medium
-if the wave enters a denser medium, its speed decreases and it bends towards the normal
-if the wave enters a less dense medium, its speed increases and it bends away from the normal
-in all cases, the frequency stays the same but the wavelength changes and as a result, the velocity (speed) must change
electromagnetic spectrum:
order: radio waves, microwaves, infrared radiation, visible light, ultraviolet, x-ray and gamma ray
-colours: roygbiv
-they increase in frequency
-they decrease in wavelength
-all em waves travel with the same high speed in vacuum and approximately the same speed in air
3 x 10^8 m/s
electromagnetic waves: uses
-radio waves: (red) broadcasting and communications
-microwaves: (orange) cooking and satellite transmissions
-infrared: (yellow) heaters and night vision equipment
-visible light: (green) optical fibres and photography
-ultraviolet: (blue) fluorescent lamps
-x-rays: (indigo) observing the internal structures of objects and materials, including for medical applications
-gamma rays: (violet) sterilising food and medical equipment
electromagnetic waves: dangers + protective measures
-there are detrimental effects of excessive exposure of the human body to em waves:
-microwaves: internal heating of body tissue (shielding to prevent them from reaching the user)
-infrared: skin burns (using insulating materials to reduce the amount of IR radiation reaching your skin)
-ultraviolet: damage to surface cells and blindness (sun cream and sun glasses prevent over-exposure)
-gamma rays: cancer, cell mutation (using protective shielding made of very dense materials such as lead)
light:
-ligh waves are transverse waves and can be reflected and refracted
-reflection of light can be shown when light reflects at a plane mirror and forms an image -> this can be represented by a ray diagram
-refraction of light can be shown when light is passed through a glass slab at an angle to its normal
-when light enters a more optically dense medium, the angle of incidence (the angle between the incident ray and the normal) is greater than the angle of refraction (the angle between the refracted ray and the normal) -> can also be represented by a ray diafram
-the opposite is true when light enters a less optically dense medium
practical: investigate the refraction of light, using rectangular blocks, semi-circular blocks and triangular prisms
Snell’s Law:
-relates the angle of incidence and the angle of refraction to the refractive index of a medium by n1sin(i) = n2sin(r) where n is the optical density and i is the angle of incidence and r is the angle of refraction
formula linking refractive index, angle of incidence and angle of refraction:
n = sin(i)/sin(r)
practical: investigate the refractive index of glass, using a glass block
total internal reflection:
-at a certain angle of incidence called the critical angle, the light will travel along the boundary between the two media
-total internal reflection occurs when the angle of incidence is greater than the critical angle and the light reflects back into the medium
-for total internal reflection to occur, the light must also be travelling from a more optically dense medium into a less optically dense medium (most common examples is glass to air)
-the critical angle c can be related to the refractive index by:
n = 1/sin sin(c) or sin c = 1/n
optical fibres:
-an optical fibre is a long thin rod of glass surrounded by cladding which uses total internal reflection to transfer information by light, even when bent
-they are used extensively in medicine (endoscopes, inside-body flexible cameras) and communications (high speed data transfer)
-sound waves are longitudinal waves and can be reflected and refracted