Question:

List I contains four combinations of two lenses (1 and 2) whose focal lengths (in cm) are indicated in the figures. In all cases, the object is placed 20 cm from the first lens on the left, and the distance between the two lenses is 5 cm. List II contains the positions of the final images.
 

List-I

List-II

I
Final image is formed
PFinal image is formed at 7.5 cm on the right side of lens 2.
II
Final image is formed
QFinal image is formed at 60.0 cm on the right side of lens 2
III
Final image is formed
RFinal image is formed at 30.0 cm on the left side of lens 2.
IV
Final image is formed
SFinal image is formed at 6.0 cm on the right side of lens 2.
  TFinal image is formed at 30.0 cm on the right side of lens 2.

Which one of the following options is correct?

Updated On: May 25, 2024
  • (I) → P; (II) → R; (III) → Q; (IV) → T

  • (I) → Q; (II) → P; (III) → T; (IV) → S

  • (I) → P; (II) → T; (III) → R; (IV) → Q

  • (I) → T; (II) → S; (III) → Q; (IV) → R

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The Correct Option is A

Solution and Explanation

The correct matching is option (A): (I) → P; (II) → R; (III) → Q; (IV) → T

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Concepts Used:

Spherical Lenses

Lenses that are made by combining two spherical transparent surfaces are called spherical lenses.  In general, there are two kinds of spherical lenses. Lenses that are made by joining two spherical surfaces that bulge outward are convex lenses, whereas lenses that are made by joining two spherical surfaces that curve inward are concave lenses.

Properties of Convex lens:

  1. In this, the lenses are thicker in the middle and thinner at the edges.
  2. They have a positive focal length.
  3. It intersects the incident rays towards the principal axis
  4. These lenses are used in the camera, focus sunlight, projector microscope, simple telescope, overhead projector, magnifying glasses, etc.

Properties of Concave lens:

  1. These lenses are thinner in the middle and thicker at the edges.
  2. They have a negative focal length.
  3. It parts the incident rays away from the principal axis.
  4. These are used in the glasses, spy holes, some telescopes in the doors, etc.