NDA 2026
- Exam
- NDA
- Year
- 2026
- Subject
- General Ability
- Chapter
- General Science
NDA 2026 · General Ability · General Science
It has been observed that a mirror always forms the image between...
It has been observed that a mirror always forms the image between the pole and the focus, irrespective of the location of the object. Which one of the following is correct in respect of the nature of the mirror?
Options
- AIt is a plane mirror.
- BIt is a convex mirror.
- CIt is a concave mirror of small focal length.
- DIt is a concave mirror of large focal length.
Correct answer
B. It is a convex mirror.
Step-by-step solution
For a spherical mirror, the mirror formula is given by .
For a real object placed in front of the mirror, the object distance is negative. Let where .
For a convex mirror, the focal length is positive. Substituting into the mirror formula gives:
Since both and are positive, .
This implies that .
Thus, the image distance is always positive and less than the focal length . The image is always formed behind the mirror, between the pole and the principal focus, irrespective of the object's position.
A plane mirror forms an image at the same distance as the object, and a concave mirror can form images beyond the focus or even at infinity depending on the object distance.
Answer: It is a convex mirror.
For a real object placed in front of the mirror, the object distance is negative. Let where .
For a convex mirror, the focal length is positive. Substituting into the mirror formula gives:
Since both and are positive, .
This implies that .
Thus, the image distance is always positive and less than the focal length . The image is always formed behind the mirror, between the pole and the principal focus, irrespective of the object's position.
A plane mirror forms an image at the same distance as the object, and a concave mirror can form images beyond the focus or even at infinity depending on the object distance.
Answer: It is a convex mirror.