Final answer:
The smallest object that can be resolved with a reconstruction FOV of 24 cm and a 512 x 512 matrix is approximately 0.46875 mm; therefore, the closest answer is 0.5 mm (option C).
Step-by-step explanation:
The question relates to the resolving power of an imaging system and involves calculating the size of the smallest object that can be resolved given a particular field of view (FOV) and matrix size. In this case, the FOV is 24 cm, and the matrix size is 512 x 512. To find the size of the smallest resolvable object, we divide the FOV by the number of pixels in one dimension of the matrix. This gives us the size of one pixel, which represents the smallest resolvable unit.
The calculation is as follows:
- FOV (field of view) = 24 cm
- Matrix Size = 512 x 512
- Size of one pixel = FOV / Matrix dimension
- Size of one pixel = 24 cm / 512
- Size of one pixel = 0.046875 cm
- Size of one pixel in mm = 0.046875 cm x 10 mm/cm = 0.46875 mm
The smallest resolvable object would therefore be approximately 0.46875 mm, which when rounded to the nearest available option, is 0.5 mm (option C).