Solved: A telescope is limited in its usefulness by the

Chapter 0, Problem 48

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A telescope is limited in its usefulness by the brightness of the star that it is aimed at and by the diameter of its lens. One measure of a stars brightness is its magnitude; the dimmer the star, the larger its magnitude. A formula for the limiting magnitude L of a Chapter Review 349 350 CHAPTER 5 Exponential and Logarithmic Functions telescope, that is, the magnitude of the dimmest star that it can be used to view, is given by L = 9 + 5.1 log d where d is the diameter (in inches) of the lens. (a) What is the limiting magnitude of a 3.5-inch telescope? (b) What diameter is required to view a star of magnitude 14?

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