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exam2soln - Physics 262 exam#2 1(25pts Answer the following...

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Physics 262 - exam#2 3/9 1. (25pts) Answer the following questions. Justify your answers. (Use the space provided below and the next page) a). (9pts) An object (an arrow) is placed as shown in front of each of the following optical instruments. Describe the image produced in each of the following three cases according to the following three sets of identifiers: real/virtual, upright/inverted, and larger/smaller? b). (6pts) The graph on the right is the intensity distribution from a Young’s double-slit experiment. Every 4 th interference peaks are observed to be missing from the pattern. If the width for both slits is known, a = 20.0 m, what is the separation between the two slits d . c). (6pts) i. With a real object, can a convex mirror produce a real image? ii.With a real object, can a diverging lens produce an inverted image? d). (9pts) A real object is placed in front of a convex mirror. If one wants to have a bigger image, should one move the object closer to or farther away from the mirror? Answers: a) i) virtual, upright, and smaller ii) real, inverted, and larger iii) virtual, upright, and larger b) The interference maxs are given by sin d m and the diffraction mins (envelope) are given by sin ' a m . We are told that every 4 th interference maxs are missing from the pattern and this means that every 4 th interference maxs are located at the same angular location as the diffraction mins. This implies that / ' 4 m m . Putting this condition into the two equations, we can see that 4 4 4 20 80 ' d m d a m m a m c) i. No. For a real object, all images from a convex mirror are virtual.
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