Object at Centre of Curvature (C) – Concave Mirror : āĻŦāĻ¸ā§āϤ⧁ āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ āĻŦāĻ•ā§ā§°āϤāĻžā§° āϕ⧇āĻ¨ā§āĻĻā§ā§° (C)-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇














  • A ray parallel to the principal axis reflects through the principal focus (F). āĻĒā§ā§°āϧāĻžāύ āĻ…āĻ•ā§āώ⧰ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻ•āĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻ›āϤ āĻŽā§āĻ–ā§āϝ āĻĢ'āĻ•āĻžāϚ (F)-ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āϝāĻžāϝāĻŧāĨ¤

  • A ray passing through the centre of curvature (C) reflects back along the same path. āĻŦāĻ•ā§ā§°āϤāĻžā§° āϕ⧇āĻ¨ā§āĻĻā§ā§° (C)-ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āĻ¯ā§‹ā§ąāĻž āĻ•āĻŋā§°āĻŖ āĻāϕ⧇ āĻĒāĻĨ⧇āĻĻāĻŋ āωāĻ­āϤāĻŋ āφāĻšā§‡āĨ¤

  • The reflected rays meet at the centre of curvature (C). āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš āĻŦāĻ•ā§ā§°āϤāĻžā§° āϕ⧇āĻ¨ā§āĻĻā§ā§° (C)-āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤



Nature of the Image (āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋā§° āĻŦ⧈āĻļāĻŋāĻˇā§āĻŸā§āϝ)



  • Position: At C (āĻŦāĻ•ā§ā§°āϤāĻžā§° āϕ⧇āĻ¨ā§āĻĻā§ā§°āϤ)

  • Size: Same size as the object (āĻŦāĻ¸ā§āϤ⧁⧰ āϏāĻŽāĻžāύ āφāĻ•āĻžā§°ā§°)

  • Nature: Real (āĻŦāĻžāĻ¸ā§āĻ¤ā§ą)

  • Orientation: Inverted (āĻ“āϞ⧋āϟāĻž)


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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: āϝ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻ¸ā§āϤ⧁ āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ āĻŦāĻ•ā§ā§°āϤāĻžā§° āϕ⧇āĻ¨ā§āĻĻā§ā§° (C)-āϤ ā§°āĻ–āĻž āĻšāϝāĻŧ, āϤ⧇āϤāĻŋāϝāĻŧāĻž āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻ•'āϤ āĻ—āĻ 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§āϝāĻžāĻ–ā§āϝāĻž: āĻŦāĻ¸ā§āϤ⧁ C-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš C-āϤ⧇āχ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤ āϏ⧇āϝāĻŧ⧇āĻšā§‡ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ C-āϤ⧇āχ āĻ—āĻ āύ āĻšāϝāĻŧāĨ¤


2. The image formed when the object is at C is: āĻŦāĻ¸ā§āϤ⧁ C-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋāĻ–āύ āϕ⧇āύ⧇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§āϝāĻžāĻ–ā§āϝāĻž: āĻŦāĻ¸ā§āϤ⧁ C-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧇ āĻŦāĻžāĻ¸ā§āĻ¤ā§ą, āĻ“āϞ⧋āϟāĻž āφ⧰⧁ āĻŦāĻ¸ā§āϤ⧁⧰ āϏāĻŽāĻžāύ āφāĻ•āĻžā§°ā§° āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻ—āĻ āύ āϕ⧰⧇āĨ¤


3. A ray passing through the centre of curvature (C) of a concave mirror is reflected: āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ C-ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āĻ¯ā§‹ā§ąāĻž āĻ•āĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻ›āϤ āϕ⧇āύ⧇āĻĻ⧰⧇ 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§āϝāĻžāĻ–ā§āϝāĻž: C-ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āĻ¯ā§‹ā§ąāĻž āĻ•āĻŋā§°āĻŖ āĻĻāĻžāĻĒā§‹āύāϤ āϞāĻŽā§āĻŦāĻ­āĻžā§ąā§‡ āφāĻĒāϤāĻŋāϤ āĻšāϝāĻŧ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻ›āϤ āĻāϕ⧇ āĻĒāĻĨ⧇āĻĻāĻŋ āωāĻ­āϤāĻŋ āφāĻšā§‡āĨ¤


4. The size of the image formed when the object is at C is: āĻŦāĻ¸ā§āϤ⧁ C-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋā§° āφāĻ•āĻžā§° āϕ⧇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§āϝāĻžāĻ–ā§āϝāĻž: āĻŦāĻ¸ā§āϤ⧁ C-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋā§° āφāĻ•āĻžā§° āĻŦāĻ¸ā§āϤ⧁⧰ āϏāĻŽāĻžāύ āĻšāϝāĻŧāĨ¤


5. Which statement is correct for an object placed at C of a concave mirror ? āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ C-āϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āϤāϞ⧰ āϕ⧋āύāĻŸā§‹ āϏāĻ āĻŋāĻ• ?

A) Virtual, erect, diminished | B) Real, erect, enlarged | C) Real, inverted, same size ✅ | 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§āϝāĻžāĻ–ā§āϝāĻž: āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύāϤ āĻŦāĻ¸ā§āϤ⧁ C-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āϏāĻĻāĻžāϝāĻŧ āĻŦāĻžāĻ¸ā§āĻ¤ā§ą, āĻ“āϞ⧋āϟāĻž āφ⧰⧁ āϏāĻŽāĻžāύ āφāĻ•āĻžā§°ā§° āĻšāϝāĻŧāĨ¤


Trick

Object at C → Image at C



  • Position: C

  • Nature: Real (āĻŦāĻžāĻ¸ā§āĻ¤ā§ą)

  • Image: Inverted (āĻ“āϞ⧋āϟāĻž)

  • Size: Same Size (āϏāĻŽāĻžāύ āφāĻ•āĻžā§°)


Shortcut: C → C (R I S)
R = Real | I = Inverted | S = Same Size















 







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