A coin is 12 cm in front of a convex lens with focal length of magnitude 4.0 cm.Where is the image?

Question

Quizplus · Accepted Answer

Using the thin lens equation:
1/f = 1/d_o + 1/d_i
where f is the focal length, d_o is the object distance, and d_i is the image distance.

Plugging in the given values:
1/4 = 1/12 + 1/d_i
Solving for d_i:
d_i = 6

Since the image distance is positive, the image is real, and since it is located on the opposite side of the lens from the object, it is inverted. Therefore, the image is 6.0 cm behind the lens, so the correct answer is C.

A Coin Is 12 Cm in Front of a Convex