Chapter 7 Waves Flashcards
Wave Motion
A wave is a means of transferring energy from one point to another in a fluid without the bulk movement itself through moving oscillations or vibrations (of particles themselves) which moves in the direction of you allowing you to hear
transverse and longitudinal waves
The oscillations/vibrations can be perpendicular or parallel to the direction of wave travel: When they are perpendicular, they are transverse waves When they are parallel, they are longitudinal waves
Ripple tanks
Waves can also be demonstrated by ripple tanks. These produce a combination of transverse and longitudinal waves -Ripple tanks may be used to demonstrate the wave properties of reflection, refraction and diffraction
General Wave Properties
-Displacement (x) o -Amplitude (A) -Wavelength (λ) -These are all measured in metres (m) -Period (T) Measured in seconds (s) -Frequency (f) Measured in Hertz (Hz) or s-1 -Speed (v) Measured in metres per second (m s-1)
displacement
is the distance between points on successive oscillations of the wave that are in phase
amplitude
is the maximum displacement of a particle in the wave from its equilibrium position
wavelength
of a wave is the distance from its equilibrium position. It is a vector quantity; it can be positive or negative
period
or time period, is the time taken for one complete oscillation or cycle of the wave.
frequency
is the number of complete oscillations per unit time.
Speed (v)
is the distance travelled by the wave per unit time. Measured in metres per second (m s-1)
Phase
The phase difference tells us how much a point or a wave is in front or behind another
-This can be found from the relative positive of the crests or troughs of two different waves of the same frequency
–When the crests or troughs are aligned, the waves are in phase -When the crest of one wave aligns with the trough of another, they are in antiphase
Wave Energy
- Waves transfer energy between points, without transferring matter
- When a wave travels between two points, no matter actually travels with it:
–The points on the wave simply vibrate back and forth about fixed positions -Waves that transfer energy are known as progressive waves
-Waves that do not transfer energy are known as stationary waves
Cathode-Ray Oscilloscope
is a laboratory instrument used to display, measure and analyse waveforms of electrical circuits -The x-axis is the time and the y-axis is the voltage (or y-gain)
-An A.C. current on an oscilloscope
is represented as a transverse wave. Therefore you can determine its frequency and amplitude
Cathode-Ray Oscilloscope display showing wavelength and time-base setting. The period of the wave can be determined from the
time-base.
- This is how many seconds each division represents measured commonly in s div-1 or s cm-1
- Use as many wavelengths shown on the screen as possible to reduce uncertainties
- Dividing the total time by the number of wavelengths will give the time period T (Time taken for one complete oscillation)
- The frequency is then determined through 1/T
Using the definitions of speed, frequency and wavelength
v = f λ v= velocity (ms^-1) f=frequency(Hz or S^-1) λ=wavelength (m)
speed of a particle on a wave =
speed = distance/time
wave speed =
distance travelled by wave / time
The wave equation tells us that for a wave of constant speed
-As the wavelength increases, the frequency decreases -As the wavelength decreases, the frequency increases
Wave Intensity
-Progressive waves transfer energy -The amount of energy passing through a unit area per unit time is the intensity of the wave -Therefore, the intensity is defined as power per unit area
wave intensity =
power (w)/Area(m^2) The area the wave passes through is perpendicular to the direction of its velocity The intensity of a progressive wave is also proportional to its amplitude squared and frequency squared
Intensity is proportional
to the amplitude2 and frequency2 -This means that if the frequency or the amplitude is doubled, the intensity increases by a factor of 4 (22)