If a lens produces an image twice as tall as the object, what is the magnification produced by the lens?
2
The linear magnification produced by a lens is defined as m = h′ ⁄ h, where h′ is the height of the image and h is the height of the object. If the image is twice as tall as the object, the ratio of heights is 2.
So the magnitude of the magnification is |m| = 2, and the option that matches this value is 2. A magnification of 1 would mean the image and object are the same size, 0.5 would mean the image is half the size of the object, and −2, while numerically twice as tall, is used only when the sign convention is being applied strictly to indicate an inverted image; among the given options the direct answer for “twice as tall” is 2.
Hence, the answer is 2.
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