1. TOPIC 11 – WAVE PHENOMENA 11.1 – STANDING/ STATIONARY WAVES

2. STANDING WAVES Formation of standing waves Standing waves are formed when two identical waves meet each other travel in opposite directions. Wiki – Waves on a stringWaves on a string The result of this is a wave where the peaks simply move up and down but DO NOT PROGRESS.

3. STANDING VS PROGRESSIVE WAVES StandingProgressive AmplitudeAll points on the wave have different amplitudes. The maximum being 2A (at the antinodes) and 0 (at the nodes) All points on the wave, have the same amplitude FrequencyOscillate with the same frequency WavelengthTwice the distance for one node to the next node Shortest distance between two points that are in phase PhaseAll points between one node and the next node are in phase All points along a wavelength have different phases EnergyEnergy is not transmitted by the wave but it does have an energy associated with it. Energy is transmitted by the wave.

4. FORMATION OF STANDING WAVES

5. FORMATION OF WAVES IN CLOSED PIPES

6. FORMATION OF WAVES IN OPEN PIPES

7. 11.2 DOPPLER EFFECT The change in pitch of a sound wave due to a change in frequency of the wave is called the Doppler Effect. It is caused by the relative motion of the SOURCE and the DETECTOR

8. MOVING SOURCE

9. MOVING OBSERVER

10. DOPPLER EFFECT AND EM RADIATION The EM spectrum travels at c through a vacuum but if the velocity of the observed EM radiation in a lot smaller than c then we can use the following equation to calculate the change in frequency For v << c

11. DOPPLER EFFECT EQUATIONS

12. USING THE DOPPLER EFFECT! 11.2.6 – Outline an example in which the Doppler Effect is used to measure speed.

13. 11.3 DIFFRACTION A more in depth look at diffraction Huygens’ Principle http://www.acoustics.salford.ac.uk/feschools/waves/diffract3. php

14. DIFFRACTION FROM A SINGLE SLIT What is the diffraction pattern shown on a screen when a wave is diffracted around a single slit?

15. EXPLAINING THE DIFFRACTION PATTERN

22. 11.4 RESOLUTION If two sources sources of light are very close in angle to each other they can sometimes be seen as one light source. If we can detect that there are two light sources then we say the light sources are resolved The ability to do this depends on the RAYLEIGH CRITERION

23. RAYLEIGH CRITERION

24. If the sources are to be just resolved, then the minimum of one diffraction pattern is located on top of the maximum of the other diffraction pattern. For a SLIT – the minima was located at For a CIRCULAR APERTURE -

25. IMPORTANCE OF RESOLUTION Research the importance of resolution in the development of the following technologies CDs DVDs Electron Microscope Radio Telescopes

26. INTENSITY Def’n– Power incident on a unit area (simply put – the greater the intensity the brighter the light will be) Intensity = Power/ Area Units = ?? IMPORTANT – There is a squared relationship between intensity and amplitude of the wave Intensity is proportional to the amplitude squared

27. 11.5 POLARISATION If a wave is restricted to travel in one plane only, we say it is polarised. Here the wave is forced to travel in the vertical direction. It can pass through the first slit but cannot pass through the horizontal slit. We say it is polarised in the vertical plane. Looking at this… Can all types waves be polarised?

28. EFFECT OF POLARISERS ON INTENSITY Polarisation Sim on wiki If unpolarised light passes through a set of polarising filters what is the effect on the intensity of the transmitted wave?

29. MALUS LAW Key Words – Polariser and Analyser

30. MALUS’ LAW

31. Remember the importance of the squared proportionality relationship between Intensity and Amplitude

32. POLARISATION BY REFLECTION When light is reflected from a surface, the reflected ray becomes polarised in the plane of the surface. The amount of polarisation depends on the angle of incidence. 100% polarisation occurs when the angle of incidence is equal to the Brewster’s angle.

33. BREWSTER’S ANGLE

35. OPTICALLY ACTIVE SUBSTANCES Optically active substances rotate the plane of polarisation of the light passing through them. Examples include – sugar solutions, some plastics (when stressed) With sugar solutions the concentration of the solution changes the amount of rotation. This can be used to determine the concentration on solutions http://www.chemguide.co.uk/basicorg/isomerism/polari sed.html

36. OPTICALLY ACTIVE SUBSTANCES

37. USES OF POLARISATION Polaroid Sunglasses LCD screens Stress Analysis

38. PROBLEMS Questions 28-31 in your textbook!