Object at the Focus (F) of a Concave Mirror : āĻŦāϏā§āϤ⧠āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-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 principal focus (F) reflects parallel to the principal axis. āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-ā§° āĻŽāĻžāĻā§ā§°ā§ āĻ āĻšāĻž āĻāĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻĒā§ā§°āϧāĻžāύ āĻ āĻā§āώ⧰ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšā§ āϝāĻžāϝāĻŧāĨ¤
- The reflected rays become parallel to each other and therefore meet at infinity. āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻāĻā§-āĻ āύā§āϝ⧰ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšāϝāĻŧ, āϏā§āϝāĻŧā§āĻšā§ āϏāĻŋāĻšāĻāϤ āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ (Infinity) āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤
Nature of the Image (āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋā§° āĻŦā§āĻļāĻŋāώā§āĻā§āϝ)
- Position: At infinity (āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ)
- Size: Highly enlarged (āĻ āϤāĻŋ āĻĄāĻžāĻā§° / āĻ āϤā§āϝāĻžāϧāĻŋāĻ āĻŦāĻŋāĻŦā§°ā§āϧāĻŋāϤ)
- Nature: Real (āĻŦāĻžāϏā§āĻ¤ā§ą)
- Orientation: Inverted (āĻāϞā§āĻāĻž)
Note:
Object at F → Image at ∞
- Position: Infinity (āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ)
- Nature: Real (āĻŦāĻžāϏā§āĻ¤ā§ą)
- Image: Inverted (āĻāϞā§āĻāĻž)
- Size: Highly Enlarged (āĻ āϤāĻŋ āĻĄāĻžāĻā§°)
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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: āϝā§āϤāĻŋāϝāĻŧāĻž āĻŦāϏā§āϤ⧠āĻāĻāĻž āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-āϤ ā§°āĻāĻž āĻšāϝāĻŧ, āϤā§āϤāĻŋāϝāĻŧāĻž āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻ'āϤ āĻāĻ 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§āϝāĻžāĻā§āϝāĻž: āĻŦāϏā§āϤ⧠F-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤ āϏā§āϝāĻŧā§āĻšā§ āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ (Infinity) āĻāĻ āύ āĻšāϝāĻŧāĨ¤
2. The image formed when the object is at F of a concave mirror is: āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ F-āϤ āĻŦāϏā§āϤ⧠āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋāĻāύ āĻā§āύā§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§āϝāĻžāĻā§āϝāĻž: F-āϤ āĻŦāϏā§āϤ⧠āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻŦāĻžāϏā§āĻ¤ā§ą, āĻāϞā§āĻāĻž āĻā§°ā§ āĻ āϤāĻŋ āĻĄāĻžāĻā§° 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 āĻā§āώ⧰ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻāĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻ'ā§° āĻŽāĻžāĻā§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§āϝāĻžāĻā§āϝāĻž: āĻāĻāĻā§ āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ āĻĒā§ā§°āĻĨāĻŽ āĻŽā§āĻā§āϝ āĻāĻŋā§°āĻŖ āύāĻŋāϝāĻŧāĻŽāĨ¤
4. A ray passing through the principal focus (F) of a concave mirror is reflected: āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ F-ā§° āĻŽāĻžāĻā§ā§°ā§ āĻ āĻšāĻž āĻāĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻā§āύā§āĻĻā§°ā§ 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§āϝāĻžāĻā§āϝāĻž: F-ā§° āĻŽāĻžāĻā§ā§°ā§ āĻ āĻšāĻž āĻāĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻĒā§ā§°āϧāĻžāύ āĻ āĻā§āώ⧰ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤
5. When the object is at the focus (F), the reflected rays are: āĻŦāϏā§āϤ⧠F-āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻā§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§āϝāĻžāĻā§āϝāĻž: āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšāϝāĻŧ, āϏā§āϝāĻŧā§āĻšā§ āϏāĻŋāĻšāĻāϤ āĻā§ā§ąāϞ āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§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 āĻŦāϏā§āϤ⧠āĻĨāĻžāĻāĻŋāϞ⧠āϤāϞ⧰ āĻā§āύāĻā§ 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§āϝāĻžāĻā§āϝāĻž: F-āϤ āĻŦāϏā§āϤ⧠āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ, āĻŦāĻžāϏā§āĻ¤ā§ą, āĻāϞā§āĻāĻž āĻā§°ā§ āĻ āϤāĻŋ āĻĄāĻžāĻā§° āĻšāϝāĻŧāĨ¤
Trick
Object at F → Image at ∞
- Position: Infinity (āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ)
- Nature: Real (āĻŦāĻžāϏā§āĻ¤ā§ą)
- Image: Inverted (āĻāϞā§āĻāĻž)
- Size: Highly Enlarged (āĻ āϤāĻŋ āĻĄāĻžāĻā§°)
Shortcut: F → ∞ (R I E)
R = Real | I = Inverted | E = Enlarged