Topic 11 - Wave phenomena Flashcards
What is the nature of standing (stationary) waves?
- An oscillating wave pattern that does not change its position
- At nodes, the displacement is always zero
- At antinodes, the amplitude is at its maximum
- Between the nodes the oscillations are all in phase
- Energy is not transferred by a standing wave
How are standing waves formed?
- Caused by interference
- The overall displacement is the sum of the two individual displacements at that moment
- Nodes occur where the two waves are always out of phase
- Antinodes occur where the two waves are perfectly in phase
What is the fundamental mode of vibration (first harmonic)?
Vibration where the wavelength is 2L (L = the length of the string)
What is the fundamental frequency, f0, of a string?
What are the wavelengths and corresponding frequencies of the harmonics?
Describe the modes of vibration on a stretched string
What is the fundamental wavelength of a pipe with open ends, closed ends, and one open and one closed end?
Both ends open = 2L
Both ends closed = 2L
One open one closed = 4L
Compare standing waves and travelling waves
What is meant by the Doppler effect?
The change of frequency that is detected when there is relative motion between a source and a receiver of waves.
What kind of waves can show Doppler effect?
Any kind
Describe the shape of wavefronts during Doppler effect
What is the equation for Doppler effect for sound for a moving source?
f’ = frequency received
us = speed of the source
v = the speed of the wave
+ if moving away from the observer
- if moving towards the observer
What is the equation for Doppler effect for sound for a moving observer?
f’ = frequency received
u0 = speed of the observer
v = the speed of the wave
+ if moving towards from the observer
- if moving away the observer
What is the equation for Doppler effect for electromagnetic waves?
v = speed between the source and the observer
Can be used if v << c
How can Doppler effect be used to measure speed?
- Radars and microwaves