Final answer:
The height of the image formed by the pinhole camera is 8 cm, and the magnification of the photograph is 0.1, indicating that the image is one-tenth the size of the object.
Step-by-step explanation:
To calculate the height of the image and the magnification of an object using a pinhole camera, you can apply the formula of magnification (m) in optics, which is the ratio of the height of the image (h') to the height of the object (h), and also related to the distances of the image (d') and the object (d) from the lens or pinhole. In this case, magnification can also be calculated using similar triangles as follows:
m = h' / h = d' / d
Given the parameters, the object height (h) is 80 cm, and the object distance from the camera (d) is 160 cm. Since this is a pinhole camera, the image will be formed at the end of the camera, so the image distance (d') is equal to the length of the camera, which is 16 cm. Now, we will calculate the magnification (m) and use it to find the image height (h').
m = d' / d = 16 cm / 160 cm = 0.1
Now we can find the height of the image (h'):
h' = m * h = 0.1 * 80 cm = 8 cm
Therefore, the height of the image is 8 cm and the magnification is 0.1, which means the image is 0.1 times the size of the object.