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A convex lens of focal length 20 cm can produce a magnified virtual aswell as real image. Is this a correct statement? If yes, where shall theobject be placed in each case for obtaining these images?

Question

A convex lens of focal length 20 cm can produce a magnified virtual aswell as real image. Is this a correct statement? If yes, where shall theobject be placed in each case for obtaining these images?

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Solution

Yes, the statement is correct. A convex lens can produce both a magnified virtual image and a real image.

  1. For a magnified virtual image: The object should be placed within the focal length of the lens, i.e., less than 20 cm from the lens. In this case, the image formed is virtual, erect, and magnified. This is the principle used in magnifying glasses.

  2. For a real image: The object should be placed beyond the focal length of the lens, i.e., more than 20 cm from the lens. In this case, the image formed is real, inverted, and can be magnified, diminished, or the same size as the object depending on the object's distance from the lens. This is the principle used in cameras and projectors.

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S.No.Position of theobjectPosition of theimageSize of theimageNature of theimage1 At infinity At focus F2 Point image Real and inverted2 Beyond 2F1 Between F2 and 2F2 Smaller Real and inverted3 At 2F1 At 2F2 Same size Real and inverted4 Between F1 and 2F1 Beyond 2F2 Larger Real and inverted5 At focus F1 At infinity Very large Real and inverted6 Between F1 and O On the same side ofthe lens as the objectVery large Virtual and erec

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