Read the following passage and answer the questions given: Lenses can form different types of images depending upon their focal length and position of object. A convex lens can create real, inverted or virtual, erect images, while a concave lens forms only virtual and diminished images. The focal length determines the power of lens. Convex lenses have positive focal length while concave lenses have negative focal length by convention. When lenses are placed together, their combined power is determined by the sum of their individual powers. Ray diagrams help to visualize how light converges or diverges through lens to form an image. (a) A convex lens of focal length is used to form an image. If an object is placed at from the lens, what will be the position and nature of image? (b) Illustrate the formation of image with the help of ray diagram, when the object is placed between the optical centre and principal focus of concave lens. (c) (i) A lens combination consists of a convex lens of focal length and a concave lens of focal length placed together. Find the equivalent focal length and power of this lens combination. OR (c) (ii) Two lenses are placed in contact. One is a concave lens with focal length and the other is a convex lens with focal length . What type of lens will the combination behave as (convex or concave)? Give reason.
Read the following passage and answer the questions given: Lenses can form different types of images depending upon their focal length and position of object. A convex lens can create real, inverted or virtual, erect images, while a concave lens forms only virtual and diminished images. The focal length determines the power of lens. Convex lenses have positive focal length while concave lenses have negative focal length by convention. When lenses are placed together, their combined power is determined by the sum of their individual powers. Ray diagrams help to visualize how light converges or diverges through lens to form an image. (a) A convex lens of focal length is used to form an image. If an object is placed at from the lens, what will be the position and nature of image? (b) Illustrate the formation of image with the help of ray diagram, when the object is placed between the optical centre and principal focus of concave lens. (c) (i) A lens combination consists of a convex lens of focal length and a concave lens of focal length placed together. Find the equivalent focal length and power of this lens combination. OR (c) (ii) Two lenses are placed in contact. One is a concave lens with focal length and the other is a convex lens with focal length . What type of lens will the combination behave as (convex or concave)? Give reason.
(a) Real, inverted, same-size image formed at on the other side of the convex lens (object was at , image forms at ).
(b) A concave lens forms a virtual, erect, diminished image between the optical centre and the focus (same side as the object) — see ray diagram in the step-by-step solution.
(c)(i) Equivalent focal length ; net power — the combination behaves as a diverging (concave) lens system.
(c)(ii) Net power is positive (), so the combination behaves as a convex (converging) lens.
Analysis & Explanation
This case-study question integrates three core ideas of Section 9.3 of the chapter: (a) applying the lens formula/magnification (Eq. 9.8, 9.10) to a convex lens with the object at , directly matching Table 9.4; (b) qualitative ray-diagram construction for a concave lens (Section 9.3.5, rays (i) and (iii)) confirming that a concave lens forms only virtual, erect, diminished images (Table 9.5), irrespective of object position between and ; and (c) the additive property of lens powers in contact, (Section 9.3.8), used to determine both the equivalent focal length and the converging/diverging character of a lens combination — the sign of the net power (positive = convex/converging, negative = concave/diverging) decides the outcome, exactly as illustrated in the chapter's discussion of combined lens systems used in cameras, microscopes, and telescopes.
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Frequently Asked Questions
How many marks does this question carry in CBSE Class 10 Science 2026?
This question carries 4 marks in the CBSE Class 10 Science 2026 examination.
Which chapter does this question come from in Science?
This question is from the chapter "Light — Reflection and Refraction" in the CBSE Class 10 Science syllabus.
What topic does this question cover in Science?
This question covers the topic "Lens formula, ray diagrams, and combination of lenses" from CBSE Class 10 Science.
What type of question is this in the CBSE Class 10 Science 2026 paper?
This question appears in Section C in the CBSE Class 10 Science 2026 paper.