Question
A 7.5x binocular produces an angular magnification of -7.50, acting like a telescope. (Mirrors are used to make the image upright.) If the binoculars have objective lenses with a 75.0 cm focal length, what is the focal length of the eyepiece lenses?
10.0 cm
Solution Video

OpenStax College Physics for AP® Courses Solution, Chapter 26, Problem 37 (Problems & Exercises) (0:35)

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This is College Physics Answers with Shaun Dychko. Magnification is the negative of the focal length of the objective divided by focal length of the eyepiece. So, to find focal length of the eyepiece, we multiply both sides by <i>Fe</i> divided by magnification. And so, we have the focal length of the eyepiece s negative of the objective focal length divided by magnification. So, that's negative of 75 centimeters divided by negative 7.5, which is a 10.0 centimeter focal length for the eyepiece.