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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

  1. AIt is a plane mirror.
  2. BIt is a convex mirror.
  3. CIt is a concave mirror of small focal length.
  4. 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 1v+1u=1f\dfrac{1}{v} + \dfrac{1}{u} = \dfrac{1}{f}.

For a real object placed in front of the mirror, the object distance uu is negative. Let u=−xu = -x where x>0x > 0.

For a convex mirror, the focal length ff is positive. Substituting uu into the mirror formula gives:

1v−1x=1f\dfrac{1}{v} - \dfrac{1}{x} = \dfrac{1}{f}

1v=1f+1x\dfrac{1}{v} = \dfrac{1}{f} + \dfrac{1}{x}

Since both ff and xx are positive, 1v>1f\dfrac{1}{v} > \dfrac{1}{f}.

This implies that 0<v<f0 < v < f.

Thus, the image distance vv is always positive and less than the focal length ff. 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.
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