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pattern The dots produced by the first grating are spread out more than those produced by the second Which grating has more lines per millimeter
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29 Rayleigh Criterion The brightest star in the winter sky in the northern hemisphere is Sirius In reality, Sirius is a system of two stars that orbit each other If the Hubble Space Telescope (diameter 24 m) is pointed at the Sirius system, which is 844 light-years from Earth, what is the minimum separation there would need to be between the stars in order for the telescope to be able to resolve them Assume that the average light coming from the stars has a wavelength of 550 nm 30 Critical Thinking You are shown a spectrometer, but do not know whether it produces its spectrum with a prism or a grating By looking at a whitelight spectrum, how could you tell
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Double-Slit Interference of Light
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Light sometimes behaves as a wave As coherent light strikes a pair of slits that are close together, the light passing through the slits will create a pattern of constructive and destructive interference on a screen In this investigation you will develop a procedure and measure the wavelength of a monochromatic light source using two slits
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How can a double-slit interference pattern of light be used to measure the light s wavelength
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Observe a double-slit interference pattern of
1 Determine which equation applies to doubleslit interference 2 Use a double slit of known slit-separation distance, d, or develop a method to determine d 3 Sketch how light passes through a double slit to help you determine how x and L can be measured 4 Using your sketch from step 3 and the list of possible materials provided in this lab, design the lab setup and write a procedure for performing the experiment 5 Determine the values of m that would be invalid for the equation 6 CAUTION: Looking directly into laser light could damage your eyes 7 Be sure to check with your teacher and have approval before you implement your design 8 Perform your experiment Write your data in a data table similar to the one on the next page
monochromatic light Calculate the wavelength of light using a double-slit interference pattern
Use laser protective eyewear approved
Never look directly into the light of a laser
laser pointer or laser to be tested double-slit plate laser pointer or laser of known wavelength clothes pin to hold a laser pointer clay ball to hold the double-slit plate meterstick
Source Color Accepted (m) d (m) m 1 2 3 4 5 x (m) L (m)
1 Adjust the distance of your slits from the screen Is there a distance that allows you to collect the most data with the best precision 2 Calculate the wavelength, , of your light source using m and measurements of x, d, and L 3 Error Analysis Compare your calculated wavelength to the accepted value by determining the percentage of error
1 Use a Scientific Explanation Describe why the double-slit interference pattern dims, brightens, and dims again as distance from the center of the pattern increases 2 Error Analysis Describe several things you could do in the future to reduce systematic error in your experiment 3 Evaluate Examine the measuring equipment you used and determine which equipment limited you the most on the precision of your calculations and which equipment gave you more precision than you needed, if any 4 Lab Techniques What might be done to an experimental setup to use white light from a normal lightbulb to produce a double-slit interference pattern
Conclude and Apply
1 Conclude Did your procedure enable you to use a double-slit interference pattern to measure the wavelength of light Explain 2 Estimate what results you would get if you used a plate with a smaller slit separation distance, d, and performed the experiment exactly the same 3 Infer How would your observations change if you used green light, but used the same double-slit plate and screen distance What would you observe