How much does one prism diopter displace an image when the object is at a distance of one meter?

One prism diopter measures the amount of image displacement produced by a prism when light passes through it. Specifically, one prism diopter displaces the image by one centimeter at a distance of one meter from the prism. This fundamental principle of prism optics is based on the relationship between the angle of deviation caused by the prism and the distance from the prism to the object.

In this case, since the object is positioned at one meter, the standard definition indicates that a prism diopter will displace the image by exactly one centimeter in this configuration. This displacement is a critical concept in ophthalmic dispensing, as it helps in understanding how corrective prisms in spectacles can be used to compensate for vision problems such as strabismus or other binocular vision issues.

Other options do not align with this fundamental measurement defined in optics. For instance, two centimeters, one inch, and one millimeter all suggest different amounts of displacement that do not correspond to the standard definition of prism diopters at one meter distance. Therefore, recognizing that one prism diopter displaces the image by one centimeter at one meter is essential for understanding how prisms function in visual correction.