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If the magnification produced by a lens is +2, then the image is :

June 1, 2025 by rawan239

If the magnification produced by a lens is +2, then the image is :

erect, virtual and smaller than the object.

inverted, real and smaller than the object.

erect, virtual and larger than the object.

inverted, real and larger than the object.

This question was previously asked in

UPSC CDS-1 – 2022

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The magnification produced by a lens is given by the ratio of the image height to the object height (m = h’/h). The sign of the magnification provides information about the nature and orientation of the image.

A positive magnification (+m) indicates that the image is erect (upright) relative to the object. A negative magnification (-m) indicates that the image is inverted. The magnitude of the magnification (|m|) indicates the size of the image relative to the object: |m| > 1 means the image is larger, |m| = 1 means it’s the same size, and |m| < 1 means it's smaller. A magnification of +2 means the image is erect (due to the + sign) and is twice the size of the object (|2| > 1). For a single lens, an erect image is always a virtual image.

Real images formed by a single lens are always inverted, and virtual images are always erect. Therefore, a positive magnification (+2) implies an erect and virtual image that is magnified (larger than the object). This type of image is typically formed by a converging (convex) lens when the object is placed within its focal length.

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