Object at Infinity â Concave Mirror : āĻŦāϏā§āϤ⧠āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ (Infinity) āĻĨāĻžāĻāĻŋāϞā§
- Rays coming from an object at infinity are parallel to the principal axis.
āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦā§° āĻĒā§°āĻž āĻ āĻšāĻž āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻĒā§ā§°āϧāĻžāύ āĻ āĻā§āώ⧰ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤ - After reflection from a concave mirror, these parallel rays meet at the principal focus (F). āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύāϤ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻāĻ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤
- Therefore, the image is formed at the principal focus (F). āϏā§āϝāĻŧā§āĻšā§ āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-āϤ āĻāĻ āύ āĻšāϝāĻŧāĨ¤
Nature of the Image (āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋā§° āĻŦā§āĻļāĻŋāώā§āĻā§āϝ)
- Position: At F (Principal Focus) / āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-āϤ
- Size: Highly diminished (Point-sized) / āĻ āϤāĻŋ āϏ⧰⧠(āĻŦāĻŋāύā§āĻĻā§-āĻāĻāĻžā§°ā§°)
- Nature: Real / āĻŦāĻžāϏā§āĻ¤ā§ą
- Orientation: Inverted / āĻāϞā§āĻāĻž
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MCQs
1. When an object is at infinity, the image formed by a concave mirror is:
āĻŦāϏā§āϤ⧠āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύāϤ āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻ'āϤ āĻāĻ āύ āĻšāϝāĻŧ?
A) At C | B) Between C and F | C) At F | D) Behind the mirror
Ans: C) At F
Explanation: Parallel rays coming from infinity converge at the principal focus (F) after reflection. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦā§° āĻĒā§°āĻž āĻ āĻšāĻž āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āĻŽā§āĻā§āϝ āĻĢ'āĻāĻžāĻ (F)-āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤
2. The image formed when the object is at infinity is: āĻŦāϏā§āϤ⧠āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋāĻāύ āĻā§āύā§āϧ⧰āĻŖā§° āĻšāϝāĻŧ ?
A) Virtual, erect, enlarged | B) Real, inverted and highly diminished | C) Real, erect | D) Virtual, diminished
Ans: B) Real, inverted and highly diminished
Explanation: The image formed is real, inverted, and point-sized (highly diminished). āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻŦāĻžāϏā§āĻ¤ā§ą, āĻāϞā§āĻāĻž āĻā§°ā§ āĻ āϤāĻŋ āϏ⧰⧠(āĻŦāĻŋāύā§āĻĻā§-āĻāĻāĻžā§°ā§°) āĻšāϝāĻŧāĨ¤
3. Rays coming from an object at infinity are: āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦā§° āĻĒā§°āĻž āĻ āĻšāĻž āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻā§āύā§āϧ⧰āĻŖā§° āĻšāϝāĻŧ ?
A) Converging | B) Diverging | C) Parallel to the principal axis | D) Random
Ans: C) Parallel to the principal axis
Explanation: Objects at a very large distance send rays that are practically parallel. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻ āϤāĻŋ āĻĻā§ā§°ā§° āĻŦāϏā§āϤā§ā§° āĻĒā§°āĻž āĻ āĻšāĻž āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻĒā§ā§°āĻžāϝāĻŧ āĻĒā§ā§°āϧāĻžāύ āĻ āĻā§āώ⧰ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻšāϝāĻŧāĨ¤
4. After reflection from a concave mirror, parallel rays meet at: āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύāϤ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āĻĒāĻŋāĻāϤ āϏāĻŽāĻžāύā§āϤ⧰āĻžāϞ āĻāĻŋā§°āĻŖāϏāĻŽā§āĻš āĻ'āϤ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧ ?
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 of a concave mirror. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻāĻāĻā§ āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ āĻĒā§ā§°āĻĨāĻŽ āĻŽā§āĻā§āϝ āĻāĻŋā§°āĻŖ āύāĻŋāϝāĻŧāĻŽāĨ¤
5. The size of the image formed by a concave mirror for an object at infinity is: āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ āĻĨāĻāĻž āĻŦāϏā§āϤā§ā§° āĻŦāĻžāĻŦā§ āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύāϤ āĻāĻ āĻŋāϤ āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋā§° āĻāĻāĻžā§° āĻā§āύ⧠āĻšāϝāĻŧ ?
A) Enlarged | B) Same size | C) Highly diminished (Point-sized) | D) Highly enlarged
Ans: C) Highly diminished (Point-sized)
Explanation: Since the object is extremely far away, the image becomes almost a point at the focus. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻŦāϏā§āϤ⧠āĻ āϤāĻŋ āĻĻā§ā§°āϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ āĻĢ'āĻāĻžāĻāϤ āĻāĻāĻž āĻŦāĻŋāύā§āĻĻā§ā§° āĻĻā§°ā§ āϏ⧰⧠āĻšāϝāĻŧāĨ¤
6. Which statement is correct for an object at infinity in a concave mirror ? āĻ ā§ąāϤāϞ āĻĻāĻžāĻĒā§āύ⧰ āĻŦāĻžāĻŦā§ āĻŦāϏā§āϤ⧠āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ āĻĨāĻžāĻāĻŋāϞ⧠āϤāϞ⧰ āĻā§āύāĻā§ āϏāĻ āĻŋāĻ ?
A) Virtual, erect, enlarged | B) Real, erect, same size | C) Real, inverted, highly diminished at F | D) Virtual, inverted
Ans: C) Real, inverted, highly diminished at F
Explanation: For an object at infinity, the image is formed at F, and it is real, inverted, and highly diminished. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻŦāϏā§āϤ⧠āĻ āϏā§āĻŽ āĻĻā§ā§°āϤā§āĻŦāϤ āĻĨāĻžāĻāĻŋāϞ⧠āĻĒā§ā§°āϤāĻŋāĻā§āĻāĻŦāĻŋ F-āϤ, āĻŦāĻžāϏā§āĻ¤ā§ą, āĻāϞā§āĻāĻž āĻā§°ā§ āĻ āϤāĻŋ āϏ⧰⧠āĻšāϝāĻŧāĨ¤
Trick
Object at Infinity → Image at F
- Position: F (Focus)
- Nature: Real (āĻŦāĻžāϏā§āĻ¤ā§ą)
- Image: Inverted (āĻāϞā§āĻāĻž)
- Size: Highly Diminished / Point-sized (āĻ āϤāĻŋ āϏ⧰ā§)
Shortcut: ∞ → F (R I D)
- R = Real
- I = Inverted
- D = Diminished (Point-sized)