Object at Centre of Curvature (C) â Concave Mirror : āĻŦāϏā§āϤ⧠āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ āĻŦāĻā§ā§°āϤāĻžā§° āĻā§āύā§āĻĻā§ā§° (C)-āϤ āĻĨāĻžāĻāĻŋāϞā§
A ray parallel to the principal axis reflects through the principal focus (F). āĻĒā§ā§°āϧāĻžāύ āĻ āĻā§āώ⧰ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻāĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-ā§° āĻŽāĻžāĻā§ā§°ā§ āϝāĻžāϝāĻŧāĨ¤
A ray passing through the centre of curvature (C) reflects back along the same path. āĻŦāĻā§ā§°āϤāĻžā§° āĻā§āύā§āĻĻā§ā§° (C)-ā§° āĻŽāĻžāĻā§ā§°ā§ āϝā§ā§ąāĻž āĻāĻŋā§°āĻŖ āĻāĻā§ āĻĒāĻĨā§āĻĻāĻŋ āĻāĻāϤāĻŋ āĻāĻšā§āĨ¤
The reflected rays meet at the centre of curvature (C). āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻŦāĻā§ā§°āϤāĻžā§° āĻā§āύā§āĻĻā§ā§° (C)-āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤
Nature of the Image (āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋā§° āĻŦā§āĻļāĻŋāώā§āĻā§āϝ)
Position: At C (āĻŦāĻā§ā§°āϤāĻžā§° āĻā§āύā§āĻĻā§ā§°āϤ)
Size: Same size as the object (āĻŦāϏā§āϤā§ā§° āϏāĻŽāĻžāύ āĻāĻāĻžā§°ā§°)
Nature: Real (āĻŦāĻžāϏā§āĻ¤ā§ą)
Orientation: Inverted (āĻāϞā§āĻāĻž)
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MCQs
1. When an object is placed at the centre of curvature (C) of a concave mirror, the image is formed: āϝā§āϤāĻŋāϝāĻŧāĻž āĻŦāϏā§āϤ⧠āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ āĻŦāĻā§ā§°āϤāĻžā§° āĻā§āύā§āĻĻā§ā§° (C)-āϤ ā§°āĻāĻž āĻšāϝāĻŧ, āϤā§āϤāĻŋāϝāĻŧāĻž āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻ'āϤ āĻāĻ āύ āĻšāϝāĻŧ ?
A) At F | B) Between C and F | C) At C | D) At Infinity
Ans: C) At C
Explanation: When the object is at the centre of curvature, the reflected rays meet at C. Hence, the image is formed at C. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻŦāϏā§āϤ⧠C-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš C-āϤā§āĻ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤ āϏā§āϝāĻŧā§āĻšā§ āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ C-āϤā§āĻ āĻāĻ āύ āĻšāϝāĻŧāĨ¤
2. The image formed when the object is at C is: āĻŦāϏā§āϤ⧠C-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋāĻāύ āĻā§āύā§āϧ⧰āĻŖā§° āĻšāϝāĻŧ ?
A) Virtual, erect, enlarged | B) Real, inverted and same size | C) Real, erect | D) Virtual, diminished
Ans: B) Real, inverted and same size
Explanation: A concave mirror forms a real, inverted image of the same size when the object is at C. āĻŦā§āϝāĻžāĻā§āϝāĻž:āĻŦāϏā§āϤ⧠C-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧠āĻŦāĻžāϏā§āĻ¤ā§ą, āĻāϞā§āĻāĻž āĻā§°ā§ āĻŦāϏā§āϤā§ā§° āϏāĻŽāĻžāύ āĻāĻāĻžā§°ā§° āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻāĻ āύ āĻā§°ā§āĨ¤
3. A ray passing through the centre of curvature (C) of a concave mirror is reflected: āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ C-ā§° āĻŽāĻžāĻā§ā§°ā§ āϝā§ā§ąāĻž āĻāĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻā§āύā§āĻĻā§°ā§ āϝāĻžāϝāĻŧ ?
A) Through F | B) Parallel to principal axis | C) Back along the same path | D) Towards the pole
Ans: C) Back along the same path
Explanation: A ray directed towards the centre of curvature strikes the mirror normally and retraces its path after reflection. āĻŦā§āϝāĻžāĻā§āϝāĻž:C-ā§° āĻŽāĻžāĻā§ā§°ā§ āϝā§ā§ąāĻž āĻāĻŋā§°āĻŖ āĻĻāĻžāĻĒā§āύāϤ āϞāĻŽā§āĻŦāĻāĻžā§ąā§ āĻāĻĒāϤāĻŋāϤ āĻšāϝāĻŧ, āϏā§āϝāĻŧā§āĻšā§ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻāĻā§ āĻĒāĻĨā§āĻĻāĻŋ āĻāĻāϤāĻŋ āĻāĻšā§āĨ¤
4. The size of the image formed when the object is at C is: āĻŦāϏā§āϤ⧠C-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋā§° āĻāĻāĻžā§° āĻā§āύ⧠āĻšāϝāĻŧ ?
A) Enlarged | B) Diminished | C) Same as the object | D) Highly enlarged
Ans: C) Same as the object
Explanation: At the centre of curvature, the image and object have the same size. āĻŦā§āϝāĻžāĻā§āϝāĻž:āĻŦāϏā§āϤ⧠C-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋā§° āĻāĻāĻžā§° āĻŦāϏā§āϤā§ā§° āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤
5. Which statement is correct for an object placed at C of a concave mirror ? āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ C-āϤ āĻŦāϏā§āϤ⧠āĻĨāĻžāĻāĻŋāϞ⧠āϤāϞ⧰ āĻā§āύāĻā§ āϏāĻ āĻŋāĻ ?
A) Virtual, erect, diminished | B) Real, erect, enlarged | C) Real, inverted, same size â | D) Virtual, inverted
Ans: C) Real, inverted, same size
Explanation: This is the standard image formed by a concave mirror when the object is placed at the centre of curvature. āĻŦā§āϝāĻžāĻā§āϝāĻž:āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύāϤ āĻŦāϏā§āϤ⧠C-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āϏāĻĻāĻžāϝāĻŧ āĻŦāĻžāϏā§āĻ¤ā§ą, āĻāϞā§āĻāĻž āĻā§°ā§ āϏāĻŽāĻžāύ āĻāĻāĻžā§°ā§° āĻšāϝāĻŧāĨ¤
Trick
Object at C → Image at C
Position: C
Nature: Real (āĻŦāĻžāϏā§āĻ¤ā§ą)
Image: Inverted (āĻāϞā§āĻāĻž)
Size: Same Size (āϏāĻŽāĻžāύ āĻāĻāĻžā§°)
Shortcut: C → C (R I S) R = Real | I = Inverted | S = Same Size