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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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Waveguide impedance 383 Example 19-4 A waveguide with a 45-GHz cutoff frequency is excited with a 67-GHz signal Find (a) the wavelength in free space and (b) the wavelength in the waveguide Solution: (a)

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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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

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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)

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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 Given:

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

Transverse magnetic modes also propagate in waveguides, but the base TM10 mode is excluded by the boundary conditions Thus, the TM11 mode is the lowest magnetic mode that will propagate

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

1 When white light shines through slits in a screen door, why is a pattern not visible in the shadow on a wall 2 Would things look different if all of the light that illuminated your world was coherent Explain

Holography is a form of photography that produces a threedimensional image Dennis Gabor made the first hologram in 1947, but holography was impractical until the invention of the gas laser in 1960 Holograms are used on credit cards to help prevent counterfeiting, and they may one day be used for ultra-high-density data storage How is a hologram made

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Syncfusion Essential PDF is a . NET standard PDF library used to create, read, and edit PDF files in any . NET Core applications. Key features: • Create, edit, fill,  ...

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HTML to PDF converter for .NET Framework / . NET Core (WkHtmlToPdf wrapper). Generates pretty-looking PDF by HTML template or web page URL. Supports ...












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