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Which of the following lenses would you prefer to read small letters in a dictionary ?

  • A.A convex lens of focal length 50 cm
  • B.A concave lens of focal length 50cm
  • C.A convex lens of focal length 5cm
  • D.A concave lens of focal length 5 cm

Answer: C

The right lens is a convex lens of focal length 5cm.

A convex lens used as a simple magnifier gives an enlarged, upright image. Its magnifying power is greater when the focal length is shorter, roughly \(1 + D/f\) with \(D = 25\) cm:

\[ \begin{aligned} f = 5\ \text{cm} &: \ 1 + 25/5 = 6 \\ f = 50\ \text{cm} &: \ 1 + 25/50 = 1.5 \end{aligned} \]

So the 5 cm convex lens magnifies far more than the 50 cm one. Concave lenses always form smaller images, so they cannot magnify small print at all.

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