If the concave mirror produces a real image of an object, will theimage be necessarily inverted?

Yes, when a concave mirror produces a real image of an object, the image will necessarily be inverted.

Explanation:

1. Concave Mirror Fundamentals: A concave mirror is curved inward and has the property of converging light rays that strike its surface.

2. Real Image Formation: A real image is formed when the object is placed outside the focal point of the mirror. The real image is where the light rays converge after reflecting off the mirror.

3. Inversion: The nature of the image produced is dependent on the position of the object relative to the focal point and center of curvature of the mirror. For a concave mirror:

   • When the object is beyond the center of curvature (C), the image formed is real, inverted, and reduced in size.
   • When the object is at C, the image is real, inverted, and the same size.
   • When the object is between C and the focal point (F), the image is real, inverted, and enlarged.

Thus, no matter the specific position of the object (as long as it is outside the focal point), the real image formed will always be inverted.