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What type of image is formed by a lens if m = -2.0?

A. A virtual image that is larger than the object
B. A real image that is smaller than the object
C. A virtual image that is smaller than the object
D. A real image that is larger than the object

User Threxx
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2 Answers

5 votes

Final answer:

An image with a magnification of -2.0 is a real image that is larger than the object, signified by option D. This occurs when the object is located farther than the focal length of a converging lens.

Step-by-step explanation:

When a lens produces an image with a magnification (m) of -2.0, this means two things: first, the negative sign indicates that the image is inverted relative to the object, and second, the absolute value of the magnification (2.0) suggests the image is twice as large as the object. Therefore, if a lens forms an image with m = -2.0, the type of image formed is D. A real image that is larger than the object. Real images are formed on the opposite side of the lens from the object and can be projected onto a screen. They are produced by converging lenses (or mirrors) when the object is farther than the focal length from the lens. In contrast, virtual images, which cannot be projected onto a screen, are formed on the same side as the object. A negative image distance implies a virtual image, and a positive magnification larger than 1 implies that the virtual image is larger than the object. However, since the magnification given is negative, we must conclude that the image is real and inverted.

User JEzu
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The best answer seems to be the C) A virtual image that is smaller than the object. Because when m is smaller than 1, then the image is virtual. But I'm not 100% sure.
User Talha Khalid
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