Final answer:
The image width of a 3-inch object with a 36-inch source-to-image distance and lying 4 inches from the image recorder will be approximately 3.375 inches.
Step-by-step explanation:
The image width of an object in radiography can be determined using the magnification formula, which is Image Width = (SID / SOD) × Object Size, where SID is the Source-to-Image Distance, and SOD is the Source-to-Object Distance. For this problem:
- SID = 36 inches
- SOD = SID - distance from object to image recorder = 36 inches - 4 inches = 32 inches
- Object Size = 3 inches
Plugging in the values, we get:
Image Width = (36 / 32) × 3 inches = 1.125 × 3 inches = 3.375 inches.
Therefore, the image width on the film will be approximately 3.375 inches.