Physics 513 Waves Simulation Name Date Waves Websites Answer all of the questions right in this packet. Rather than typing in all of the URLs, all of the links are posted on my Teacher page on Schoolwires. For all of these applets, they have you manipulating the wavelength. We know that this is really done by manipulating the source (frequency) or the medium (speed) of the wave but these demos blur that distinction. Part 1 – Reflection from a Concave Barrier http://www.youtube.com/watch?v=2CJMT3Qgpr8 This link will take you to a YouTube video of an old black and white film strip. I grant that the quality is not great. From 0:00 to 0:45, the video shows the reflection of a circular wave made by a point source off of a concave, parabolic boundary. What is the most important lesson from this section of the video? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ From 0:45 to 1:33, the video shows the reflection of a circular wave made by a point source off of a concave, CIRCULAR boundary. How are these reflections similar to AND different from those off of a parabolic boundary? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Also during this section, they superimpose a parabola over the semicircle. What point is the video trying to make? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Part 2: The Superposition of two sinusoidal waves http://www.mhhe.com/physsci/physical/jones/student/olc/graphics/jones3physics_i /ch15/other/15-11/index.html Set the two waves so that they have an equal wavelength and equal amplitude and a phase of 0. Describe the “sum” wave” compared to the component waves ______________________________________________________________________________ ______________________________________________________________________________ Change the phase of wave 2 to 180o. Describe what happens and why it happens (look at the two component waves in relation to each other to explain) ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Change the phase of wave 2 back to 0o. Change the wavelength of wave 2 to 20. Draw a quick sketch of the pattern, describe what you see in words and write a brief description of WHY this is the resulting pattern. ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Sketch: Change the wavelength of wave 1 so it is 17 and wave 2 so it is 15. Describe what you see. Draw a sketch and describe what you see. (By the way, this pattern is known as a beat frequency which we will discuss later) ______________________________________________________________________________ ______________________________________________________________________________ Sketch: Part 3 – Standing waves. http://ngsir.netfirms.com/englishhtm/StatWave.htm Turn the ruler on and move the amplitude slider all the way to the right. Initially, how far is the source from the boundary? ____________ When the source frequency is 25 Hz, you should see an n= 1 standing wave occurring. How many nodes are there? ___________ How many antinodes? ______________ What is the wavelength of this wave? _________________________ Calculate what the speed of the wave on this string must be Increase the source frequency until you find the n = 2 standing wave pattern. At what frequency does this occur? ________________ How many nodes are there? ___________ How many antinodes? ______________ What is the wavelength of this wave? _________________________ Increase the source frequency until you find the n = 3 standing wave pattern. At what frequency does this occur? ________________ How many nodes are there? ___________ How many antinodes? ______________ What is the wavelength of this wave? _________________________ Name two other frequencies for which you would expect standing wave patterns to form ______________________________________________________________________________ Pick ANY frequency that you did not look at above. Record here _______________ Click and hold on the ring stand and slide it to the left to find a location that gives a standing wave. At what length does the pattern occur? ________ This is a n = ______ standing wave. What is the wavelength? __________________ Sketch the pattern below: Part 4 – Diffraction http://ngsir.netfirms.com/englishhtm/Diffraction.htm In this demo, you will be looking for the DEGREE OF CURVATURE of the diffracted waves. A high degree of curvature means the central grouping of waves looks closer to a semi-circle than a straight line and a low degree of curvature means it looks closer to a straight line than a semicircle. Look at the demo for several different wavelengths. As you increase the wavelength, what is occurring to the curvature of the diffracted waves? ______________________________________________________________________________ Set the wavelength back to a middling value. Test different slit widths. What occurs to the degree of curvature of the diffracted waves as the width of the slit is decreased. ______________________________________________________________________________ Part 5 – Interference of water waves/2-D interference http://ngsir.netfirms.com/englishhtm/Interference.htm Click on the “Same applet, larger version” link In this demo, where you see the blurry, grayish lines, waves are being canceled out. The lines along where destructive interference occurs are called NODAL LINES. Where you see clear crests (white lines) and troughs (dark lines), that’s where waves are constructively interfering. These lines are called ANTI-NODAL LINES. Antinodal lines Nodal lines How would you describe the pattern in words? ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Increase the wavelength. As you increase the wavelength, what happens to the distance between each adjacent nodal line? ____________________________ The width of each antinodal line? ________________________________ Return the wavelength to the original value. Decrease the source separation. What happens to the distance between each adjacent nodal line? ____________________________ The width of each antinodal line? ________________________________ If you click on any point in the simulation, it will show waves leaving each of the two sources and meeting at that point. It shows what each wave is doing at that point by looking at the vibration of the two blue dots at that point. Click at several locations on different anti-nodal lines. Try to click in the middle of these lines. Are the waves in phase or out of phase when they meet? How do you know? ______________________________________________________________________________ ______________________________________________________________________________ Why does this make sense based on what you know is happening at an anti-nodal line? ______________________________________________________________________________ ______________________________________________________________________________ Click at several locations on different nodal lines. Try to click in the middle of these lines. Are the waves in phase or out of phase when they meet? How do you know? ______________________________________________________________________________ ______________________________________________________________________________ Part 6 – Refraction http://www.physics.uoguelph.ca/applets/Intro_physics/refraction/LightRefract.html When the simulation starts, you will see a series of wavefronts in the “white” material moving into the “gray” material. What’s relevant to know is that the wave moves SLOWER in the gray material. Also, there is no normal line drawn so you will have to imagine it. Based on our discussion, what about the picture lets you know the waves were slowing down as they entered the gray medium? ______________________________________________________________________________ ______________________________________________________________________________ On the simulation on the right, you will see the angle of incidence listed (initially it is 30o). A few boxes below this, you will see the angle of refraction. With an angle of incidence of 30o, what is the angle of refraction? _________ Increase the angle of incidence by 5o a few times. As you do this, each time the angle of refraction (circle the correct answer) Increases but by more than 5o each time Decreases but by more than 5o each time Increases by 5o each time Decreases by 5o each time Increases but by less than 5o each time Decreases but by less than 5o each time