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The simple microscope having a lens of focal length 5 cm gives the magnification of (least distance of distinct vision = 25 cm)

  • A.5
  • B.6
  • C.4
  • D.10
  • E.12

Answer: B

The magnification is 6.

A simple microscope (a magnifying glass) gives its maximum magnification when the image is formed at the least distance of distinct vision, D = 25 cm:

\[ m = 1 + \frac{D}{f} = 1 + \frac{25}{5} = 6 \]

If instead the image is formed at infinity, for relaxed viewing, the magnification is D/f = 25/5 = 5. The key takes the standard case of the image at the near point, since the question gives the least distance of distinct vision. 4, 10 and 12 do not come from either formula.

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