You are trying to construct a compound microscope given two lenses with focal lengths f₁ = 1.0 cm and f₂ = 4.0 cm. How far apart (in cm) should you place the lenses in order to obtain an angular magnification of 60 ? (Assume normal adjustment of microscope)
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Question

You are trying to construct a compound microscope given two lenses with focal lengths f₁ = 1.0 cm and f₂ = 4.0 cm. How far apart (in cm) should you place the lenses in order to obtain an angular magnification of 60 ? (Assume normal adjustment of microscope)

Options

G1 Physics · Accepted Answer

Derived solution: Step 1: For a compound microscope use the objective and eyepiece magnifications, with M ≈ (L/fₒ)(D/fₑ) in normal adjustment (or the corresponding near-point form). Step 2: Substitute the values given in the question and apply the geometry/sign convention shown. Step 3: On simplification the result is 14.6. Therefore the correct option is B.