Final answer:
The position for which a concave mirror projects a screen image smaller than the object is when the object is placed beyond the center of curvature.
Step-by-step explanation:
For what position of the object will a spherical concave mirror project on the screen an image smaller than the object? The correct answer is d. beyond the center of curvature. When an object is placed beyond the center of curvature, the concave mirror forms a real, inverted image that is reduced in size, or smaller than the object itself.
This effect can be understood through ray diagrams where rays travelling parallel to the axis, striking the center of the mirror, and moving toward the focal point, all converge to form an image between the focal point and the center of curvature of the mirror. However, if the object is placed closer to the mirror, such as between the focus and the mirror, the produced image would be larger than the object.