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Q89 (NDA-II/2024) Science & Technology › Basic Science (Physics, Chemistry, Biology) Official Key

A point object is placed at the centre of curvature of a spherical concave mirror. Which one among the following would be the correct location of image formed ?

Explanation

According to the principles of ray optics for spherical mirrors, when a point object is placed at the centre of curvature (C) of a concave mirror, the image is formed exactly at the centre of curvature.

  • Ray Behavior: Any ray of light passing through the centre of curvature strikes the mirror normally (at 90 degrees) and is reflected back along the same path.
  • Image Characteristics: When the object is at C, the reflected rays converge at the same point. The resulting image is real, inverted, and of the same size as the object.
  • Mirror Formula: Using the mirror equation 1/f = 1/v + 1/u, if the object distance (u) is 2f (which is the radius of curvature R), the image distance (v) also calculates to 2f.

Thus, the image is located at the centre of curvature, making Option B the correct answer.

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