A convex lens has a focal length of 50 cm. Calculate its power.

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RRB ALP CBT I 29 Aug 2018 Shift 2 Official Paper
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  1. 4 D
  2. 1 D
  3. 2 D
  4. 3 D

Answer (Detailed Solution Below)

Option 3 : 2 D
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The correct answer is 2D

Key Points

  • A Convex lens converges incident rays towards the principal axis and is thin at the edges, and thick across the middle.
  • Focal length is the distance between the centre of a convex lens or focus where parallel rays converge.
  • The power of a convex lens is the ability of the lens to converge the rays that fall on it.
    • The formula of Power is given by, \(P =\mathbf{ \frac{1}{f}}\) where 'f' is the focal length in meters.
    • SI unit of Power is Diopter.
  • When the focal length, f = 50 cm i.e., 0.5 meters, the power is given by, \(P = \mathbf{\frac{1}{0.5}D = 2D}\). Hence option 3 is correct.

Additional Information

  • Convex lenses are used in microscopes, magnifying glasses, camera lenses and for the correction of hypermetropia.
  • Convex lenses have positive power as a convex lens has a positive focal length.
    • The power of a concave lens is negative because a concave lens has a negative focal length. 
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