1. [-l1 Points] DETAILS OSCOLPHYSZO16 27.6.WA.040.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 11.8-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 532 nm. What is the minimum angular separation between the two stars required for your telescope to resolve the two stars of the binary system? Ema (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 4.50 cm. What is the minimum angular separation required for the Arecibo telescope to resolve the two stars of the binary system? Additional Materials El Reading '3 Tutorial 2. [/1 Points] DETAILS OSCOLPHYSZO16 27.6.WA.042. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH ER A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon. If this is done with the Mount Wilson telescope, producing a 2.56-m diameter beam of 542nm light, what is the minimum angular spread of the beam? Additional Materials L3 Reading 5. [/1 Points] DETAILS OSCOLPHYSZO16 27.7.WA.047.TUTORIAL. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Working on your car you spill oil (index of refraction = 1.55) on the ground into a puddle of water (n = 1.33). You notice a rainbow pattern appear across the oil slick. Recalling the lessons you learned in physics class, you realize you can calculate where constructive and destructive interference occurs based on the thickness of the oil slick. (Assume that the average wavelength is 598 nm.) (a) What are the first three thicknesses necessary for constructive interference? nm nm nm (b) What are the rst three thicknesses necessary for destructive interference? nm nm nm Additional Materials 6. [-l1 Points] DETAILS OSCOLPHYSZO16 27.7.WA.048. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Calculate the minimum thickness of an oil slick on water that appears blue when illuminated by white light perpendicular to its surface. Take the blue wavelength to be 456 nm and the index of refraction of oil to be 1.43. The index of refraction of water is 1.33. Em Additional Materials Lil Reading 8. [/1 Points] DETAILS OSCOLPHYSZO16 27.8.WA.054.TUTORIAL. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Polarizing windows, filters, etc. are often used to reduce the amount of light that enters the lens of a camera or into a room or a car. A library atrium has an overhead skylight that lets in too much light during the clay which heats up the interior of the library far too much. The building engineer installs new double paned polarizing sky lights to reduce the intensity. If sunlight, which is unpolarized, has an average intensity of 1288 W/m2 what angle should the polarizing axis of the second pane of the window make with the polarizing axis of the first pane of the window in order to reduce the intensity of the sunlight to 33% of the original value? |:l Additional Materials El Reading '3 Tutorial 9. [-I1 Points] DETAILS OSCOLPHYSZO16 27.8.WA.055. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Cameras often use polarizing filters to reduce glare. What angle would the axis of a polarizing filter need to make with the direction of polarized light of intensity 196 W/m2 to reduce the intensity to 19.0 W/m2? (9 should be between 0 and 90) :] Additional Materials I: Reading