To solve the problem, we need to determine the minimum distance at which an object should be placed from the pole of a concave mirror to obtain a real image.
1. Real Image Formation in a Concave Mirror:
In a concave mirror, a real image is formed when the object is placed beyond the focal point (i.e., at a distance greater than the focal length). The real image is formed on the opposite side of the object, and its size and position depend on the object’s distance from the mirror.
2. Minimum Object Distance for Real Image:
For the minimum object distance to obtain a real image, the object must be placed at a distance greater than the focal length, but the image formed will be at the focus (F). Therefore, the minimum distance of the object from the pole to obtain a real image is the focal length, $F$.
Final Answer:
The minimum distance of an object from the pole to obtain a real image in case of a concave mirror is $ {F} $.