An object of length 200cm is photographed when it is 100cm from the table. The distance from the pin hole to the screen is 10cm. Calculate the length of the image formed.
To calculate the length of the image formed, we can use the concept of similar triangles.
When an object is placed at a distance from a pinhole camera, the image formed is similar to the object.
Let's assume the length of the image formed is 'x'. Now, we can form the following proportion:
Length of the object / Distance from the object to the camera = Length of the image / Distance from the image to the camera
Using the given values: Length of the object = 200cm, Distance from the object to the camera = 100cm, Distance from the image to the camera = 10cm
Plugging in these values into the proportion:
200 cm / 100 cm = x / 10 cm
Simplifying the proportion:
2 = x / 10
Now, cross-multiply the equation:
2 * 10 = x
20 = x
Therefore, the length of the image formed is 20cm.