36B

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1. [-/1 Points] DETAILS WAUNIPHYSAV1 36.P.030. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A monochromatic beam of x-rays has a grazing angle of 8.28 with a family of Bragg planes in a potassium iodide (KI) crystal. Potassium iodide has a crystalline structure similar to that of sodium iodide; however, the atomic planes are separated by 0.353 nm. Determine the wavelength of the x-ray beam for first order diffraction. nm 2. [-/1 Points] DETAILS WAUNIPHYSAV1 36.P.031. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A monochromatic beam of x-rays with a wavelength of 0.154 nm is incident on a sodium chloride crystal. If the spacing between Bragg planes for a sodium chloride crystal is 0.353 nm, at what angle (with respect to the Bragg planes) should the incident beam be directed in order for a second-order maximum to be observed? 3. [-/1 Points] DETAILS WAUNIPHYSAV1 36.P.034. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine the interplanar spacing of the reflecting Bragg planes in a crystal that has a second order reflection at a Bragg angle of 30.0 when x-rays with a wavelength of 0.175 nm are used. Inm 4. [-/1 Points] DETAILS WAUNIPHYSAV1 36.P.035. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a sample crystal, the Bragg planes have a spacing of 0.300 nm. Determine the smallest Bragg angle for x-rays with a wavelength of 24.8 pm.5. [-/1 Points] DETAILS WAUNIPHYSAV1 36.P.037. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The figure below shows a beam of x-rays incident on the surface of a crystal. Although we often examine x-ray diffraction from planes containing atoms parallel to the surface of the material, it also occurs for any family of geometric planes that contain a large number of atoms. Consider x-rays reflecting off the Bragg planes shown in the figure. When x-rays with a wavelength of 0.190 nm are incident on the crystal at an angle of a = 65.2 with respect to the surface, second order diffraction occurs for x-rays reflected off this family of Bragg planes. Determine the unit cell size ao. nm X-ray beam crystal surface unit cel atoms in crystal K Bragg planes 6. [-/1 Points] DETAILS WAUNIPHYSAV1 36.P.038.TUTORIAL. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The width of a telescope aperture is important because it determines what you will be able to resolve. (a) You are out stargazing with your 10.2-cm telescope. You point your telescope at an interesting formation in the sky, which you think is a binary star system. A binary star system consists of two stars in orbit around each other. You guess that the average wavelength coming from the stars is 566 nm. What is the minimum angular separation between the two stars required for your telescope to resolve the two stars of the binary system? rad (b) Having graduated with a degree in astronomy, you seek a job at the Arecibo radio telescope. You use a large radio telescope (300-m diameter) to observe the same binary system that you observed in part (a). You estimate that the average radio emissions from the system have a wavelength of 5.44 cm. What is the minimum angular separation required for the Arecibo telescope to resolve the two stars of the binary system? rad (12 TutorialASK YOUR TEACHER PRACTICE ANOTHER A refracting telescope is mounted in a satellite that orbits the Earth at an altitude of 3.95 x 105 m. If the diameter of the objective lens of the telescope is 0.560 m and we assume an average wavelength of 5.50 x 10'7 m, determine the minimum distance 7. [-I1 Points] WAUNIPHYSAV1 363.040. between two objects on the surface of the Earth for which their images can be resolved. :lm ASK YOUR TEACHER PRACTICE ANOTHER 8. [-l1 Points] WAUNIPHYSAV1 36.P.043. The diameter of the objective lens of a laboratory microscope is 7.65 mm. (a) What is the limiting angle of resolution when red light with a wavelength of 520 nm is used to view an object with this microscope? radians (b) What is the limiting angle of resolution when violet light with a wavelength of 420 nm is used to view an object with this microscope? (c) What is the limiting angle of resolution when red light is used and the space between the objective lens of the microscope and the object being viewed is lled with water? (The index of refraction of water is 1.33.) E radians WAUNIPHYSAV1 36.P.M4. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The beam of light from a helium-neon laser with a wavelength of 532.8 nm passes through a circular aperture 0.500 cm in diameter and passes onto the sheer side of a mountain 18.0 miles away. Determine the diameter of the beam on the side of the 9. [-l1 Points] mountain l:lm 10. [-I1 Points] WAUNIPHYSAV1 36.P.046. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER TWo motorcyclists are riding sidebyside at night and the distance between their center-mounted headlights is 1.30 m. (a) If the diameter of the pupil of your eye is 0.480 cm and the wavelength of the light is 560 nm, at what angular separation will the eye resolve the two headlights? rad (b) What is your distance from the motorcycles when this occurs? Em