Question

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:

• A. Statement I is false but Statement II is true.
• B. Both Statement I and Statement II are false.
• C. Statement I is true but Statement II is false.
• D. Both Statement I and Statement II are true.

Answer 1

The Correct Option is A

To determine the correct answer, let's analyze each statement:

1. 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."
   • A concave lens diverges light rays that pass through it and never converges them to form a real image. Therefore, for any object location, the image formed by a concave lens is always virtual, reduced in size, and located between the focal point and the optical center on the same side as the object. Since the image is virtual and never formed on the other side of the lens, this statement is false.
2. Statement (II): "Concave lens always forms a virtual and erect image."
   • This statement is true. The nature of a concave lens is to diverge light rays and produce virtual, erect, and diminished images irrespective of the position of the object. Thus, statement II is correct.

Based on the above analysis:

• Statement I is false but Statement II is true.

Therefore, the correct answer is:

Statement I is false but Statement II is true.

Answer 2

Statement I: A concave lens diverges light and does not have a centre of curvature for image formation in the context of lens theory. The centre of curvature is a concept applicable to mirrors, not lenses. Hence, Statement I is false.

Statement II: A concave lens always forms a virtual, erect, and diminished image irrespective of the position of the object. This is a fundamental property of concave lenses. Hence, Statement II is true.
Final Answer: (1) Statement I is false but Statement II is true.