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A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following statements is correct for this combination of two lenses ?

Options

  1. Abehaves as concave lens if |f_ convex | > |f_ concave |
  2. Bbehaves as concave lens if |f_ convex | < |f_ concave |
  3. Cbehaves as convex lens if |f_ convex | > |f_ concave |
  4. DFocal length of the lens system will change if the positions of two lenses are interchanged

Correct answer

A. behaves as concave lens if |f_ convex | > |f_ concave |

Step-by-step solution

The equivalent focal length F of two thin lenses in contact is given by 1 F = 1 f₁ + 1 f₂ For a convex lens, the focal length is positive, so f₁ = |f_ convex | For a concave lens, the focal length is negative, so f₂ = -|f_ concave | Substituting these values, we get 1 F = 1 |f_ convex | - 1 |f_ concave | If |f_ convex | > |f_ concave | , then 1 |f_ convex | This implies 1 F A negative equivalent focal length indicates that the combination behaves as a diverging or concave lens. Interchanging the positions of the le

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