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Q: Which of the following statements is/are true regarding the centre of curvature of a spherical mirror? (S – I) The centre of curvature (C) of a spherical mirror is the centre of the sphere of which of the sphere of which the mirror is a cut part. (S – II) The aperture (D) of a spherical mirror is the diameter of the sphere of which the mirror is a cut part. (S – III) The principal focus (F) is strictly the mid-point between the pole (P) and the centre of curvature (C) of a spherical mirror.
  • A. (S – I) and (S – II) only
  • B. (S – I) and (S – III) only
  • C. (S – I) only
  • D. (S – I), (S – II) and (S – III)
Correct Answer: Option B - Centre of curvature is the centre of the sphere of which the spherical mirror is a part. The centre of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector. Therefore, first and third statement is correct.
B. Centre of curvature is the centre of the sphere of which the spherical mirror is a part. The centre of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector. Therefore, first and third statement is correct.

Explanations:

Centre of curvature is the centre of the sphere of which the spherical mirror is a part. The centre of curvature of a curve is found at a point that is at a distance from the curve equal to the radius of curvature lying on the normal vector. Therefore, first and third statement is correct.