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Which of the following statements is/are...

Which of the following statements is/are always true regarding a converging lens?
I. When the object approaches the focal point from the converging lens, then the size of the image increases.
II. The image formed by a thick converging lens is brighter to that formed by a thin converging lens.
III. When the object is placed very far away from the lens, the image distance approaches focal length.

A

I and II only

B

I and III only

C

I, II and III

D

III only

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statements regarding a converging lens are always true, we will analyze each statement one by one. ### Step 1: Analyze Statement I **Statement I:** When the object approaches the focal point from the converging lens, then the size of the image increases. - As an object moves closer to the focal point of a converging lens, the image formed moves further away from the lens and becomes larger. This is due to the lens formula and the magnification formula, which indicate that as the object distance decreases (approaching the focal point), the image distance increases, leading to an increase in the size of the image. **Conclusion for Statement I:** True. ### Step 2: Analyze Statement II **Statement II:** The image formed by a thick converging lens is brighter than that formed by a thin converging lens. - The brightness of an image formed by a lens depends on the amount of light that passes through it and the area of the image. A thicker lens may have a larger aperture, allowing more light to pass through, but it can also introduce more aberrations that may affect brightness. However, in general optics, it is not a definitive rule that a thick lens always produces a brighter image than a thin lens. **Conclusion for Statement II:** Not always true. ### Step 3: Analyze Statement III **Statement III:** When the object is placed very far away from the lens, the image distance approaches the focal length. - When an object is placed at a very large distance (theoretically at infinity), the rays of light coming from the object are nearly parallel. For a converging lens, these parallel rays converge at the focal point. Thus, the image formed will be at the focal point of the lens. **Conclusion for Statement III:** True. ### Final Conclusion - **Statement I:** True - **Statement II:** Not always true - **Statement III:** True Thus, the statements that are always true regarding a converging lens are I and III.

To determine which statements regarding a converging lens are always true, we will analyze each statement one by one. ### Step 1: Analyze Statement I **Statement I:** When the object approaches the focal point from the converging lens, then the size of the image increases. - As an object moves closer to the focal point of a converging lens, the image formed moves further away from the lens and becomes larger. This is due to the lens formula and the magnification formula, which indicate that as the object distance decreases (approaching the focal point), the image distance increases, leading to an increase in the size of the image. **Conclusion for Statement I:** True. ...
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