A concave mirror forms a real, inverted and same sized image of an object. Where is the object placed?

Correct option is B

The correct answer is (b) At C

• When a concave mirror forms a real, inverted, and same-sized image of an object, the object is placed at the center of curvature (C) of the mirror.

Key Point:

1. Object Position: At the center of curvature (C).
2. Image Characteristics:
   • Type: Real and inverted.
   • Size: Same size as the object.
   • Position of the Image: At the center of curvature (C).

Reason:

• When an object is placed at the center of curvature:
  • A ray parallel to the principal axis reflects and passes through the focus (F).
  • Another ray passing through the focus (F) reflects back parallel to the principal axis.
  • These rays converge at the center of curvature (C), forming a real, inverted image of the same size as the object.

Information booster:

Other Concave mirror image formation ​

• When the Object is at Infinity: We take into account two rays from the object that are parallel to the principal axis under this circumstance. After reflection, these rays converge to form an image in front of the mirror at F, the primary focus of the mirror. As a result, an extremely reduced, point-sized, real, and inverted image is created.
• The Object is Placed Between C and F: One of the two rays under consideration here is parallel to the principal axis, and the other is passing through the concave mirror's principal focus. The image is real and inverted, it is larger than the object's size, and it is formed beyond C.
• The Object is Placed Between F and P: One ray is going parallel to the principal axis, and the other is going through the mirror's center of curvature. The resulting image is virtual, straight, and larger than the object.