Question

Eeqan is taking a picture of Ishan. Ishan is 1.6 m tall and is standing 3 m from the camera. The inverted, real image of Ishan is 1.6 cm tall. How far from the lens is the image produced?

a) 0.03 m
b) 0.3 m
c) 3 m
d) 30 m

Answer 1

The image of Ishan is formed 0.03 m behind the lens.

Step-by-step explanation:

To determine the distance from the lens where the image of Ishan is produced, we can use the lens equation: 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance.

Given that Ishan's height is 1.6 m and his inverted image height is 1.6 cm, we can calculate the magnification as hi/ = -di/do. Rearranging the equation gives us di = -m * do, where m is the magnification.

Substituting the values given, we get 1/f = 1/3 + 1/di. Solving for di, we find that the image is formed 0.03 m behind the lens. Therefore, the correct answer is (a) 0.03 m.