Practice question
Question
A simple microscope with a focal length of \( 8 \, \text{cm} \) forms an image at infinity. What is the
magnification?
Explanation
**Microscope principle** objective of short focal length forms real image between F_e and 2F_e of eyepiece, eyepiece magnifies to virtual image at D, total magnification product, for f_o=2 cm, f_e=5 cm, L=20 cm, m_o≈10, M_e≈6, M≈60, illustrating high magnification from two stages. Magnification at infinity: m = (D/f) . D = 25 cm , f = 8 cm . m = (25/8) = 3.125 . Substituting values gives 3.1, which matches expected image position and magnification from mirror/lens formula 1/f = 1/v - 1/u (lens) or 1/f = 1/v + 1/u (mirror), confirming sign conventions and refraction principles.
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