Question Detail
Question
A normal eye forms an image on the retina at a distance of 1.5 cm from the lens. If a 25 m tall tree forms a 1.0 cm tall image on the retina, how far away is the tree from the eye?
Correct Answer
Option A is the correct answer.
Detailed Explanation
Using the magnification formula:
hi/ho = v/u (absolute values for distances)hi = 1.0 cm = 0.01 m (image height)ho = 25 m (object height)v = 1.5 cm = 0.015 m (image distance, distance to retina)0.01 m / 25 m = 0.015 m / uu = (0.015 m * 25 m) / 0.01 mu = 0.375 m / 0.01 mu = 37.5 m
Hint
Use the magnification formula `hi/ho = v/u`, ensuring all units are consistent (e.g., meters).