A point object is kept between a plane mirror and a concave mirror facing each other. The distance between the mirrors is 22.5cm

Physics

Optical Instruments Solutions

re found Class set one and ---hing Activity At At Graphing and Analyzing Scientific Data turn in of the als: Cor Graphing is an important procedure used by scientist to display the data that is collected during a controlled experiment. There are three main types of graphs: Pie/circle graphs: Used to show parts of a whole. lures w Bar graphs: Used to compare amounts. Mark Start Start Plac Line graphs: Use to show the change of one piece of information as it relates to another change. Both bar and line graphs have an "X" axis (horizontal) and a "Y" axis (vertical). ATA Posi (1 Parts of a Graph: Title: Summarizes information being represented in ANY graph. Independent Variable: The variable that is controlled by the experimenter, such as, time, dates, depth, and temperature. This is placed on the X axis. Dependent Variable: The variable that is directly affected by the I.V. It is the result of what happens as time, dates, depth and temperature are changed. This is placed on the Y axis. Scales for each Variable: In constructing a graph, one needs to know where to plot the points representing the data. In order to do this a scale must be employed to include all the data points. A. Graph the following information in a LINE graph. Label and number the x and y-axis appropriately. La Time (Sec). 0 1 2 3 4 5 6 7 Distance (m) 0 2 $ų 95 14 8 2b 11 27 12 36 14 4 Distance cm) S32 12 18 10 9 2 6 4 3 2 1 02.345 6 1 Time (Secl 1. What is the independent variable? 2. What is the dependent variable? 3. What is an appropriate title? Soced 4. Calculate the slope. 5. What is the equation for your line of best fit? Remember y = mx +b.

Physics

Optical Instruments Solutions

3. [5 points total] Three balls (one black, one grey, and one white) are placed near a flat mirror, as shown in the (top view) diagram below. a) [1 point] Indicate the location of the images of the three balls in the mirror. Briefly explain how you determined their locations. b) [1.5 points] Determine the region where an observer would see the image of the black ball between the images of the white and grey balls (assume the actual balls do not block the observers' view of the images). Explain your reasoning. c) [1 point] Pick an observation location in the range that you determined above and draw the path that light travels from each of the three objects to this observer. It is sufficient to draw a single ray from each object but use a straight edge to make your diagram accurate. Use solid lines to show "real" light and dashed lines to show "fake" light. d) [1.5 points] Is there a location where an observer would see the image of the white ball between the grey and black balls? If so, indicate the region; if not, explain why not.

Physics

Optical Instruments Solutions

5. Index of refraction n 750 450 550 650 Wavelength (nm) [4 points total] While the index of refraction of a material is a constant, it varies slightly based on the 1.50 wavelength (color) of light. This phenomenon is known as dispersion and is the reason a glass prism is able to separate white light into a spectrum of 1.45 350 colors. The plot at right shows how the index of refraction of a typical glass (ng 1.5) varies for the visible wavelengths. a) [1.5 points) On the figure at right, white light is incident on a triangular glass prism, which separates the white light into a spectrum. The three rays shown represent blue, red, and green light. Indicate which of these three rays is which color. Explain your reasoning using the plot above. b) [1 point] When it is in glass, does red light travel faster or slower than blue light? Explain. c) [1.5 points) How far would light need to travel in a glass cable for the faster color to arrive at the end one microsecond ahead of the slower color? Show your work and explain.