What is the magnification of the resulting image when an object is twice as far from a convex lens as the focal length?A.0.5×B.1×C.2×D.4×
Question
What is the magnification of the resulting image when an object is twice as far from a convex lens as the focal length?
A. 0.5×
B. 1×
C. 2×
D. 4×
Solution
The magnification (m) of a lens is given by the formula m = -i/o, where i is the image distance and o is the object distance.
For a convex lens, when the object is at a distance of 2f (twice the focal length), the image is formed on the other side of the lens also at 2f.
So, the image distance i = -2f (the negative sign indicates that the image is formed on the opposite side of the lens from where the light is coming).
The object distance o = 2f.
Substituting these values into the magnification formula gives m = -(-2f)/2f = 1.
So, the magnification of the resulting image when an object is twice as far from a convex lens as the focal length is 1× (Option B).
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