The proper functioning of certain optical devices

Chapter 33, Problem 33.106

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The proper functioning of certain optical devices (e.g.,optical fibers and spectrometers) requires that the inputlight be a collection of diverging rays within a cone of halfangle6 (Fig. 33-50). I f the light initia lly exists as a collimatedbeam (i.e., parallel rays), show that a single lens offocal length / and diameter D can be used to create therequired input light if D / f = 2 tan 0. I f 0 = 3.5 for acertain spectrometer, what focal length lens should be usedif the lens diameter is 5.0 cm?

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