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WBCS Preliminary Examination 2021 — General Studies · Question 49 of 200

Q49
General SciencePhysics
The power of a lens is $+2.0\,D$. The focal length of the lens and its nature are
  1. a.50 cm, concave
  2. b.50 cm, convex
  3. c.100 cm, convex
  4. d.100 cm, concave

Answer: (B) 50 cm, convex

Focal length $f=\frac{1}{P}=\frac{1}{2.0}\,m=0.5\,m=50\,cm$. A positive power means a converging, i.e., convex lens; a concave (diverging) lens has negative power. A lens of 100 cm focal length would have a power of only $\pm1\,D$. Convex lenses correct hypermetropia (long-sightedness) and concave lenses correct myopia; the SI unit of power is the dioptre ($1\,D=1\,m^{-1}$), and the powers of thin lenses in contact simply add.