Object at the Focus (F) of a Concave Mirror : āĻŦāĻ¸ā§āϤ⧁ āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ āĻŽā§āĻ–ā§āϝ āĻĢ'āĻ•āĻžāϚ (F)-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 principal focus (F) reflects parallel to the principal axis. āĻŽā§āĻ–ā§āϝ āĻĢ'āĻ•āĻžāϚ (F)-ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āĻ…āĻšāĻž āĻ•āĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻ›āϤ āĻĒā§ā§°āϧāĻžāύ āĻ…āĻ•ā§āώ⧰ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻšā§ˆ āϝāĻžāϝāĻŧāĨ¤

  • The reflected rays become parallel to each other and therefore meet at infinity. āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš āĻāϕ⧇-āĻ…āĻ¨ā§āϝ⧰ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻšāϝāĻŧ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āϏāĻŋāĻšāρāϤ āĻ…āϏ⧀āĻŽ āĻĻā§‚ā§°āĻ¤ā§āĻŦāϤ (Infinity) āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤


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



  • Position: At infinity (āĻ…āϏ⧀āĻŽ āĻĻā§‚ā§°āĻ¤ā§āĻŦāϤ)

  • Size: Highly enlarged (āĻ…āϤāĻŋ āĻĄāĻžāϙ⧰ / āĻ…āĻ¤ā§āϝāĻžāϧāĻŋāĻ• āĻŦāĻŋāĻŦā§°ā§āϧāĻŋāϤ)

  • Nature: Real (āĻŦāĻžāĻ¸ā§āĻ¤ā§ą)

  • Orientation: Inverted (āĻ“āϞ⧋āϟāĻž)


Note:


Object at F → Image at



  • Position: Infinity (āĻ…āϏ⧀āĻŽ āĻĻā§‚ā§°āĻ¤ā§āĻŦāϤ)

  • Nature: Real (āĻŦāĻžāĻ¸ā§āĻ¤ā§ą)

  • Image: Inverted (āĻ“āϞ⧋āϟāĻž)

  • Size: Highly Enlarged (āĻ…āϤāĻŋ āĻĄāĻžāϙ⧰)


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Object at Focus (F) of a Concave Mirror – PYQ Style MCQs


1. When an object is placed at the principal focus (F) of a concave mirror, the image is formed: āϝ⧇āϤāĻŋāϝāĻŧāĻž āĻŦāĻ¸ā§āϤ⧁ āĻāϟāĻž āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ āĻŽā§āĻ–ā§āϝ āĻĢ'āĻ•āĻžāϚ (F)-āϤ ā§°āĻ–āĻž āĻšāϝāĻŧ, āϤ⧇āϤāĻŋāϝāĻŧāĻž āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻ•'āϤ āĻ—āĻ āύ āĻšāϝāĻŧ ?


A) At C | B) Between C and F | C) At Infinity | D) Behind the mirror


Ans: C) At Infinity


Explanation : When the object is at the principal focus, the reflected rays become parallel to each other. Therefore, the image is formed at infinity. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻŦāĻ¸ā§āϤ⧁ F-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤ āϏ⧇āϝāĻŧ⧇āĻšā§‡ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻ…āϏ⧀āĻŽ āĻĻā§‚ā§°āĻ¤ā§āĻŦāϤ (Infinity) āĻ—āĻ āύ āĻšāϝāĻŧāĨ¤


2. The image formed when the object is at F of a concave mirror is: āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ F-āϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋāĻ–āύ āϕ⧇āύ⧇āϧ⧰āĻŖā§° āĻšāϝāĻŧ ?


A) Virtual and erect | B) Real, inverted and highly enlarged | C) Real and erect | D) Virtual and diminished


Ans: B) Real, inverted and highly enlarged


Explanation : At the focus, the image is formed at infinity. It is real, inverted and highly magnified. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: F-āϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻŦāĻžāĻ¸ā§āĻ¤ā§ą, āĻ“āϞ⧋āϟāĻž āφ⧰⧁ āĻ…āϤāĻŋ āĻĄāĻžāϙ⧰ āĻšāϝāĻŧāĨ¤


3. A ray parallel to the principal axis, after reflection from a concave mirror, passes through: āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύāϤ āĻĒā§ā§°āϧāĻžāύ āĻ…āĻ•ā§āώ⧰ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻ•āĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻ›āϤ āĻ•'ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āϝāĻžāϝāĻŧ ?


A) Pole (P) | B) Centre of Curvature (C) | C) Principal Focus (F) | D) Infinity


Ans: C) Principal Focus (F)


Explanation: This is the first principal ray rule for a concave mirror. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻāχāĻŸā§‹ āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ āĻĒā§ā§°āĻĨāĻŽ āĻŽā§āĻ–ā§āϝ āĻ•āĻŋā§°āĻŖ āύāĻŋāϝāĻŧāĻŽāĨ¤


4. A ray passing through the principal focus (F) of a concave mirror is reflected: āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ F-ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āĻ…āĻšāĻž āĻ•āĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻ›āϤ āϕ⧇āύ⧇āĻĻ⧰⧇ āϝāĻžāϝāĻŧ ?


A) Towards C | B) Towards P | C) Parallel to the principal axis | D) Back along the same path


Ans: C) Parallel to the principal axis


Explanation: A ray passing through the focus reflects parallel to the principal axis. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: F-ā§° āĻŽāĻžāĻœā§‡ā§°ā§‡ āĻ…āĻšāĻž āĻ•āĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻ›āϤ āĻĒā§ā§°āϧāĻžāύ āĻ…āĻ•ā§āώ⧰ āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤


5. When the object is at the focus (F), the reflected rays are: āĻŦāĻ¸ā§āϤ⧁ F-āϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš āϕ⧇āύ⧇ āĻšāϝāĻŧ ?


A) Converging | B) Diverging | C) Parallel to each other | D) Intersecting at C


Ans: C) Parallel to each other


Explanation: The reflected rays become parallel and hence meet only at infinity. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš āϏāĻŽāĻžāĻ¨ā§āϤ⧰āĻžāϞ āĻšāϝāĻŧ, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āϏāĻŋāĻšāρāϤ āĻ•ā§‡ā§ąāϞ āĻ…āϏ⧀āĻŽ āĻĻā§‚ā§°āĻ¤ā§āĻŦāϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤


6. Which one of the following is correct when an object is placed at F of a concave mirror ? āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ F-āϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āϤāϞ⧰ āϕ⧋āύāĻŸā§‹ āϏāĻ āĻŋāĻ• ?


A) Virtual, erect, diminished | B) Real, erect, enlarged | C) Real, inverted, highly enlarged | D) Virtual, inverted


Ans: C) Real, inverted, highly enlarged


Explanation: At F, the image is formed at infinity and is highly enlarged, real and inverted. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: F-āϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻ…āϏ⧀āĻŽ āĻĻā§‚ā§°āĻ¤ā§āĻŦāϤ, āĻŦāĻžāĻ¸ā§āĻ¤ā§ą, āĻ“āϞ⧋āϟāĻž āφ⧰⧁ āĻ…āϤāĻŋ āĻĄāĻžāϙ⧰ āĻšāϝāĻŧāĨ¤


Trick


Object at F → Image at



  • Position: Infinity (āĻ…āϏ⧀āĻŽ āĻĻā§‚ā§°āĻ¤ā§āĻŦāϤ)

  • Nature: Real (āĻŦāĻžāĻ¸ā§āĻ¤ā§ą)

  • Image: Inverted (āĻ“āϞ⧋āϟāĻž)

  • Size: Highly Enlarged (āĻ…āϤāĻŋ āĻĄāĻžāϙ⧰)


Shortcut: F → ∞ (R I E)
R = Real | I = Inverted | E = Enlarged

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