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Question

An object is placed at different distances from a convex lens of local length 10 cm. Which position of the object will produce an image of the same size as the object?

A
10 cm
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B
20 cm
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C
7 cm
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D
16 cm
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Solution

The correct option is B 20 cm
Answer is B.
When the object is located at the 2F point, the image will also be located at the 2F point on the other side of the lens. In this case, the image will be inverted (i.e., a right side up object results in an upside-down image). The image dimensions are equal to the object dimensions.
In this case, the focal length F = 10 cm. So, 2F = 20 cm.
Therefore, for the lens to produce an image of the same size as the object, the object should be placed at a distance of 20 cm.
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