The image formed by a converging lens of focal length is of a distance of 2f from the lens. Calculate the lateral magnification produced
-
A.
0.5 -
B.
1 -
C.
1.5 -
D.
2 -
E.
3
Correct Answer: Option B
Explanation
Using the lens formula,
(frac{1}{v} + frac{1}{u} = frac{1}{f})
Where u, v and f are the object distance, image distance and focal length respectively.
(therefore frac{1}{2f} + frac{1}{u} = frac{1}{f})
(frac{1}{u} = frac{1}{2f} – frac{1}{f} implies frac{1}{u} = frac{1}{2f})
(u = 2f)
(therefore Magnification = frac{text{image distance}}{text{object distance}})
= (frac{2f}{2f})
= 1