In which case will a lens produce a magnification of exactly 1?
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A.
When the object is at infinity
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B.
When the object is placed at twice the focal length
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C.
When the object is placed between centre of curvature and focal point
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D.
When the object is placed at the focal point
Correct Answer:
B. When the object is placed at twice the focal length
Explanation:
The correct answer is Option B: When the object is placed at twice the focal length.
In optics, a lens produces a magnification of exactly 1 (in terms of absolute value) when the size of the image is identical to the size of the object. For a convex lens, this specific condition occurs when the object is positioned at a distance of 2F, which is exactly twice the focal length. At this point, the lens creates a real, inverted image on the opposite side of the lens, also at a distance of 2F. Since the image distance and object distance are equal, the ratio of their heights is 1:1, resulting in a magnification of 1. Other positions, such as at the focal point or at infinity, either result in no image formation or images that are significantly different in size relative to the object.
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