An object, in height, is placed at a distance of in front of a concave mirror of focal length , on its principal axis. Its image has a height _______of and is______.

Correct option is A

The correct answer is (a) more than , inverted

Key Considerations:

1. Concave Mirror Nature:
• A concave mirror can form both real and inverted or virtual and erect images depending on the object's position relative to the focal point (F) and center of curvature (C).
2. Magnification (M):
• Magnification (M) is given by:

​$$M= -\frac{v}{u} = \frac{\text{Height of Image (h')}}{\text{Height of Object (h)}}$$​​

where:

• v: Image distance.
• u: Object distance.
• h: Height of the object.
• h′: Height of the image.
1. Image Characteristics:
• If ∣M∣>1: Image is magnified.
• If M>0: Image is erect.
• If M<0: Image is inverted.
2. Image Nature Based on Object Distance:
• Object Beyond C: Image is real, inverted, and smaller.
• Object at C: Image is real, inverted, and of same size.
• Object Between C and F: Image is real, inverted, and magnified.
• Object at F: Image is formed at infinity.
• Object Between F and Mirror: Image is virtual, erect, and magnified.

Answer Evaluation:

• If the image is inverted and magnified, the object is placed between C and F.
• If the image is erect and magnified, the object is closer than F.

Thus, the correct answer depends on the specific placement of the object, but the most likely interpretation is:
A. More than h, inverted (if the object is between C and F)