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Geometrical Optics question

2024 · 9 Apr · Shift 1 · Q70
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Geometrical Optics question

2024 · 9 Apr · Shift 1 · Q70

JEE MainPhysicsGeometrical OpticsMCQ+4 / −1
Given below are two statements : Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side. Statement (II) : Concave lens always forms a virtual and erect image. In the light of the above statements, choose the correct answer from the options given below :
  1. A
    Statement I is false but Statement II is true
  2. B
    Both Statement I and Statement II are false
  3. C
    Both Statement I and Statement II are true
  4. D
    Statement I is true but Statement II is false
View written solutionFree

Correct answer: A

  1. Analyze Statement (I)

    Statement (I): When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.

    • The term centre of curvature is used for spherical mirrors, not for a thin lens in the usual image-formation rules.
    • For a concave lens, no matter where the real object is placed, the image formed is virtual, erect, and diminished, and it lies between the optical centre and the focus on the same side as the object.
    • Therefore, the claim that the image forms at the centre of curvature on the other side is incorrect.

    Hence, Statement (I) is false.

  2. Analyze Statement (II)

    Statement (II): Concave lens always forms a virtual and erect image.

    • For a real object placed anywhere in front of a concave lens, the image is always:
      • virtual
      • erect
      • diminished
    • This is a standard property of a concave (diverging) lens.

    Hence, Statement (II) is true.

  3. Choose the correct option

    • Statement (I): False
    • Statement (II): True

    Therefore, the correct option is:

    A\boxed{A}A​

  4. Compare with stored correct answer

    • Derived answer: A
    • Stored correct answer: A

    They match.

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