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Q20. Does the relationship you observed between d and 0, in Q17, agree with Equation 4? Explain. Q21. Does the relationship you observed between 2 and 0, in Q18, agree with Equation 4? Explain.

Q20. Does the relationship you observed between d and 0, in Q17, agree with Equation 4? Explain. Q21. Does the relationship you observed between 2 and 0, in Q18, agree with Equation 4? Explain.

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Q20. Does the relationship you observed between d and 0, in Q17, agree with Equation 4? Explain. Q21. Does the relationship you observed between 2 and 0, in Q18, agree with Equation 4? Explain.
Transcribed Image Text:Q20. Does the relationship you observed between d and 0, in Q17, agree with Equation 4? Explain. Q21. Does the relationship you observed between 2 and 0, in Q18, agree with Equation 4? Explain.
The patterns of bright green and dark lines are known as fringe patterns. The bright fringe in the middle is caused by light from the two slits traveling the same distance as the screen and this is known as the zero-order fringe. The dark fringes on either side of the zero-order fringe are caused by light from one slit traveling half a wavelength further than light from the other slit. These are followed by the first order fringes (one on each side of the zero-order fringe), caused by light from one slit traveling a wavelength further than light from the other slit, and so on. Notice the two similar right triangles, colored blue and red in Figure 15 that both contain the angle e'. The separation between the slits is d. In order for the light from each slit to arrive in phase, the path length difference between the light exiting the top and bottom slits is r2 -r =1, thus 2 = d sin e. Generalizing, bright fringes will be found for locations that satisfy r- = integer multiple of a wavelength. Mathematically, the m bright fringe for a double slit is given by: d sin e = m2. Equation 4 Q15. What kind of interference do the light bands indicate? Constructive Interference Q17. Slide the slit separation control from 3200 nm to 1600 nm. Fully describe the effect of decreasing the slit separation, d, on the interference pattem seen on the screen? Q16. What kind of interference do the dark bands indicate? Destructive Interference Bands get wider So as the split separation increased to 3200nm the fringe width decreased meaning there was less interference and vice versa when the split separation decreased to 1600nm. When the formation of the fringes in both the cases when the separation increased the whole interference was squeezed together. The bright bands or fringes are ordered as shown in Figure 14. (m = 2 m = 1 Q18. Return the slit separation to 3200 nm. Now change the wavelength of light to red, then change it to purple. Has the wavelength increased or decreased? (Highlight one) Fully describe what is the effect on the interference pattern when you changed the wavelength? Interference is affected depending on the wavelength used on the color scale. The pattem is same but the patter became more spread out for larger wavelength in red. The wavelength decrease from red to purple the fringe width started getting narrower. ravs m = 0 m =1 double slit m=2 parallel waves screen Figure 14: Schematic of two-slit interference, including labeling of the bright fringes. The geometry of the m = 1 fringe is displayed in Figure 15. Consider the m=1 order. Refer to Figure 15 which shows the laser's plane wave incident on the twvo slits with slit separation, d. Notice that the light from each slit arrives in phase at the m = 1 location in order to yield a bright fringe. Q19. Pick your favorite color. (If your favorite color is black or white pick your next favorite color etc.) Adjust the frequency slider until the light generator produces waves of your chosen color. Let the interference pattem develop then take a screen shot of your experiment and insert here. |s00 rm 1 s- 10 Frequency d sine Amplitude e- yı O Graph Screen O Intensity m = 1 Two Sits Sin Wih 200 S Separation 400 3200 Figure 15: Geometrical analysis of double-slit interference. The double slits are separated by a distance d. The screen is located a distance L from the slits. Shown is the m = 1 order bright fringe, which located a 'radius' y from the central point on the screen. Two similar triangles are identified. O Normal O Slow ' If we knew more information from the animation, such as the exact wavelength and distance to the screen, we could predict the locations on the screen for the bright fringes, i.e. Yı, V2, etc.
Transcribed Image Text:The patterns of bright green and dark lines are known as fringe patterns. The bright fringe in the middle is caused by light from the two slits traveling the same distance as the screen and this is known as the zero-order fringe. The dark fringes on either side of the zero-order fringe are caused by light from one slit traveling half a wavelength further than light from the other slit. These are followed by the first order fringes (one on each side of the zero-order fringe), caused by light from one slit traveling a wavelength further than light from the other slit, and so on. Notice the two similar right triangles, colored blue and red in Figure 15 that both contain the angle e'. The separation between the slits is d. In order for the light from each slit to arrive in phase, the path length difference between the light exiting the top and bottom slits is r2 -r =1, thus 2 = d sin e. Generalizing, bright fringes will be found for locations that satisfy r- = integer multiple of a wavelength. Mathematically, the m bright fringe for a double slit is given by: d sin e = m2. Equation 4 Q15. What kind of interference do the light bands indicate? Constructive Interference Q17. Slide the slit separation control from 3200 nm to 1600 nm. Fully describe the effect of decreasing the slit separation, d, on the interference pattem seen on the screen? Q16. What kind of interference do the dark bands indicate? Destructive Interference Bands get wider So as the split separation increased to 3200nm the fringe width decreased meaning there was less interference and vice versa when the split separation decreased to 1600nm. When the formation of the fringes in both the cases when the separation increased the whole interference was squeezed together. The bright bands or fringes are ordered as shown in Figure 14. (m = 2 m = 1 Q18. Return the slit separation to 3200 nm. Now change the wavelength of light to red, then change it to purple. Has the wavelength increased or decreased? (Highlight one) Fully describe what is the effect on the interference pattern when you changed the wavelength? Interference is affected depending on the wavelength used on the color scale. The pattem is same but the patter became more spread out for larger wavelength in red. The wavelength decrease from red to purple the fringe width started getting narrower. ravs m = 0 m =1 double slit m=2 parallel waves screen Figure 14: Schematic of two-slit interference, including labeling of the bright fringes. The geometry of the m = 1 fringe is displayed in Figure 15. Consider the m=1 order. Refer to Figure 15 which shows the laser's plane wave incident on the twvo slits with slit separation, d. Notice that the light from each slit arrives in phase at the m = 1 location in order to yield a bright fringe. Q19. Pick your favorite color. (If your favorite color is black or white pick your next favorite color etc.) Adjust the frequency slider until the light generator produces waves of your chosen color. Let the interference pattem develop then take a screen shot of your experiment and insert here. |s00 rm 1 s- 10 Frequency d sine Amplitude e- yı O Graph Screen O Intensity m = 1 Two Sits Sin Wih 200 S Separation 400 3200 Figure 15: Geometrical analysis of double-slit interference. The double slits are separated by a distance d. The screen is located a distance L from the slits. Shown is the m = 1 order bright fringe, which located a 'radius' y from the central point on the screen. Two similar triangles are identified. O Normal O Slow ' If we knew more information from the animation, such as the exact wavelength and distance to the screen, we could predict the locations on the screen for the bright fringes, i.e. Yı, V2, etc.
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