An object of height 4cm is placed in front of a cuboid pinhole camera of size 6 cm. if the image formed is 2 cm high, how far is the object from the pinhole...

An object of height 4cm is placed in front of a cuboid pinhole camera of size 6 cm. if the image formed is 2 cm high, how far is the object from the pinhole?

Answer Details

The pinhole camera follows the basic principles of optics, where light rays coming from an object pass through a small hole and form an inverted image on the opposite side of the hole. In this case, we have an object of height 4cm placed in front of a cuboid pinhole camera of size 6 cm, and an image of height 2 cm is formed. Using similar triangles, we can determine the distance of the object from the pinhole. Let's denote this distance as 'x'. Since the image is inverted, we can say that the height of the object '4' is to the height of the image '2' as the distance of the object 'x' is to the distance of the image '6'. Therefore, we can write: 4/2 = x/6 Simplifying this equation, we get: x = 6 * 4/2 = 12 cm So, the object is placed 12 cm away from the pinhole camera. Therefore, the correct answer is 12.0 cm.