Question:

A diminished image of an object is to be obtained on a screen 1.0 m from it. This can be achieved by placing

Updated On: Jan 18, 2023
  • a plane mirror
  • a convex mirror of suitable focal length
  • a convex lens of focal length less than 0.25 m
  • a concave lens of suitable focal length
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The Correct Option is C

Solution and Explanation

Image can be formed on the screen if it is real. Real image of
reduced size can be formed by a concave mirror or a convex
lens.
A diminished real image is formed by a convex lens when the
object is placed beyond 2 f and the image of such object is
formed between f and 2 f on other side.
Thus, $\hspace20mm d > (2 \, f + 2 \, f)$
or $\hspace20mm 4 \, f < $0. 1 m
or $\hspace20mm f < $ 0.25 m
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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.