A man 1.5m tall is standing 3m in front of a pinhole camera whose distance between the hole and the screen is 0.1m. What is the height of the image of the m...

A man 1.5m tall is standing 3m in front of a pinhole camera whose distance between the hole and the screen is 0.1m. What is the height of the image of the man on the screen?

Answer Details

The height of the image of the man on the screen can be found using the principles of optics and the formula for the size of an image formed by a pinhole camera. In a pinhole camera, light from a distant object passes through a small hole and forms an inverted image on a screen located on the other side of the hole. Let's call the height of the man H and the height of the image of the man on the screen I. The distance between the man and the hole is d1 = 3m and the distance between the hole and the screen is d2 = 0.1m. Using the formula for the size of an image formed by a pinhole camera, we have: I/H = d2/d1 Substituting the values, we get: I/1.5 = 0.1/3 Solving for I, we get: I = 1.5 * 0.1/3 = 0.05 m So, the height of the image of the man on the screen is 0.05m.