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Diffraction and Interference Patterns in Optics and X-ray Diffraction Experiments

Explore the concepts of diffraction and interference patterns in optics experiments, including single-slit diffraction, Young's experiment, and x-ray diffraction. Learn how changing parameters such as slit width, wavelength, and number of slits affects the pattern. Also, understand the formation of bright spots in x-ray diffraction experiments. Finally, discover how to increase the resolving power in telescope imaging.

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Diffraction and Interference Patterns in Optics and X-ray Diffraction Experiments

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  1. Q36.1 Light of wavelength l passes through a single slit of width a. The diffraction pattern is observed on a screen that is very far from from the slit. Which of the following will give the greatest increase in the angular width of the central diffraction maximum? A. Double the slit width a and double the wavelength l. B. Double the slit width a and halve the wavelength l. C. Halve the slit width a and double the wavelength l. D. Halve the slit width a and halve the wavelength l.

  2. A36.1 Light of wavelength l passes through a single slit of width a. The diffraction pattern is observed on a screen that is very far from from the slit. Which of the following will give the greatest increase in the angular width of the central diffraction maximum? A. Double the slit width a and double the wavelength l. B. Double the slit width a and halve the wavelength l. C. Halve the slit width a and double the wavelength l. D. Halve the slit width a and halve the wavelength l.

  3. Q36.2 In a single-slit diffraction experiment with waves of wavelength l, there will be no intensity minima (that is, no dark fringes) if the slit width is small enough. What is the maximum slit width a for which this occurs? A. a = l/2 B. a = l C. a = 2l D. The answer depends on the distance from the slit to the screen on which the diffraction pattern is viewed.

  4. A36.2 In a single-slit diffraction experiment with waves of wavelength l, there will be no intensity minima (that is, no dark fringes) if the slit width is small enough. What is the maximum slit width a for which this occurs? A. a = l/2 B. a = l C. a = 2l D. The answer depends on the distance from the slit to the screen on which the diffraction pattern is viewed.

  5. Q36.3 In Young’s experiment, coherent light passing through two slits separated by a distance d produces a pattern of dark and bright areas on a distant screen. If instead you use 10 slits, each the same distance d from its neighbor, how does the pattern change? A. The bright areas move farther apart. B. The bright areas move closer together. C. The spacing between bright areas remains the same, but the bright areas become narrower. D. The spacing between bright areas remains the same, but the bright areas become broader.

  6. A36.3 In Young’s experiment, coherent light passing through two slits separated by a distance d produces a pattern of dark and bright areas on a distant screen. If instead you use 10 slits, each the same distance d from its neighbor, how does the pattern change? A. The bright areas move farther apart. B. The bright areas move closer together. C. The spacing between bright areas remains the same, but the bright areas become narrower. D. The spacing between bright areas remains the same, but the bright areas become broader.

  7. Q36.4 Coherent light passing through six (6) slits separated by a distance d produces a pattern of dark and bright areas on a distant screen. There will be a dark area on the screen at a position where the path difference to the screen from adjacent slits is /2. /3. C. /6. D. any of these.

  8. A36.4 Coherent light passing through six (6) slits separated by a distance d produces a pattern of dark and bright areas on a distant screen. There will be a dark area on the screen at a position where the path difference to the screen from adjacent slits is /2. /3. C. /6. D. any of these.

  9. Q36.5 In an x-ray diffraction experiment using a crystal, a pattern of bright spots is formed by A. interference of x-rays scattered by different atoms in the crystal. B. interference of x-rays emitted by different atoms in the crystal. C. interference of x-rays scattered by different parts of an individual atom in the crystal. D. interference of x-rays emitted by different parts of an individual atom in the crystal.

  10. A36.5 In an x-ray diffraction experiment using a crystal, a pattern of bright spots is formed by A. interference of x-rays scattered by different atoms in the crystal. B. interference of x-rays emitted by different atoms in the crystal. C. interference of x-rays scattered by different parts of an individual atom in the crystal. D. interference of x-rays emitted by different parts of an individual atom in the crystal.

  11. Q36.6 You use a telescope lens to form an image of two closely spaced, distant stars. Which of the following will increase the resolving power? A. Use a filter so that only the blue light from the stars enters the lens. B. Use a filter so that only the red light from the stars enters the lens. C. Use a lens of smaller diameter. D. more than one of the above

  12. A36.6 You use a telescope lens to form an image of two closely spaced, distant stars. Which of the following will increase the resolving power? A. Use a filter so that only the blue light from the stars enters the lens. B. Use a filter so that only the red light from the stars enters the lens. C. Use a lens of smaller diameter. D. more than one of the above

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