Object Between F and P – Concave Mirror : āĻŦāĻ¸ā§āϤ⧁ F āφ⧰⧁ P-ā§° āĻŽāĻžāϜāϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ (āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ)



  • 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 incident at the pole (P) reflects according to the laws of reflection. (Alternatively, a ray directed towards C may be used.) āĻ§ā§ā§°ā§ā§ąāĻŦāĻŋāĻ¨ā§āĻĻ⧁ (P)-āϤ āφāĻĒāϤāĻŋāϤ āĻ•āĻŋā§°āĻŖ āĻĒā§ā§°āϤāĻŋāĻĢāϞāύ⧰ āύāĻŋāϝāĻŧāĻŽ āĻ…āύ⧁āϏ⧰āĻŋ āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤ (āĻŦāĻŋāĻ•āĻ˛ā§āĻĒāĻ­āĻžā§ąā§‡, C-ā§° āĻĻāĻŋāĻļ⧇ āĻ¯ā§‹ā§ąāĻž āĻ•āĻŋā§°āĻŖā§‹ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϕ⧰āĻŋāĻŦ āĻĒāĻžā§°āĻŋāĨ¤)




  • The reflected rays diverge, but their backward extensions meet behind the mirror. āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš āĻ…āĻĒāϏāĻžā§°āĻŋāϤ (diverge) āĻšāϝāĻŧ, āĻ•āĻŋāĻ¨ā§āϤ⧁ āϏāĻŋāĻšāρāϤ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧰ āϏāĻŽā§āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻĻāĻžāĻĒā§‹āύ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧇ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤


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



  • Position: Behind the mirror (āĻĻāĻžāĻĒā§‹āύ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧇)

  • Size: Enlarged (āĻĄāĻžāϙ⧰)

  • Nature: Virtual (āĻ…āĻŦāĻžāĻ¸ā§āĻ¤ā§ą)

  • Orientation: Erect (āĻĨāĻŋāϝāĻŧ)


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MCQs


1. When an object is placed between the focus (F) and the pole (P) of a concave mirror, the image formed is: āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ F āφ⧰⧁ P-ā§° āĻŽāĻžāϜāϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋāĻ–āύ āϕ⧇āύ⧇āϧ⧰āĻŖā§° āĻšāϝāĻŧ ?


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


Ans: C) Virtual, erect, enlarged


Explanation: When the object is between F and P, the reflected rays diverge. Their backward extensions meet behind the mirror, forming a virtual, erect, and enlarged image. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž : āĻŦāĻ¸ā§āϤ⧁ F āφ⧰⧁ P-ā§° āĻŽāĻžāϜāϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻš āĻ…āĻĒāϏāĻžā§°āĻŋāϤ āĻšāϝāĻŧāĨ¤ āϏāĻŋāĻšāρāϤ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧰ āϏāĻŽā§āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻĻāĻžāĻĒā§‹āύ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧇ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤ āϏ⧇āϝāĻŧ⧇āĻšā§‡ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻ…āĻŦāĻžāĻ¸ā§āĻ¤ā§ą, āĻĨāĻŋāϝāĻŧ āφ⧰⧁ āĻĄāĻžāϙ⧰ āĻšāϝāĻŧāĨ¤


2. Where is the image formed when the object is between F and P of a concave mirror ? āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ F āφ⧰⧁ P-ā§° āĻŽāĻžāϜāϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋ āĻ•'āϤ āĻ—āĻ āύ āĻšāϝāĻŧ ?


A) At C | B) At F | C) Behind the mirror | D) At infinity


Ans: C) Behind the mirror


Explanation: The backward extensions of the reflected rays meet behind the mirror. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻĒā§ā§°āϤāĻŋāĻĢāϞāĻŋāϤ āĻ•āĻŋā§°āĻŖāϏāĻŽā§‚āĻšā§° āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧰ āϏāĻŽā§āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻĻāĻžāĻĒā§‹āύ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧇ āĻŽāĻŋāϞāĻŋāϤ āĻšāϝāĻŧāĨ¤


3. The image formed by a concave mirror when the object is between F and P is: āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ F āφ⧰⧁ P-ā§° āĻŽāĻžāϜāϤ āĻŦāĻ¸ā§āϤ⧁ āĻĨāĻžāĻ•āĻŋāϞ⧇ āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋā§° āφāĻ•āĻžā§° āϕ⧇āύ⧇ āĻšāϝāĻŧ ?


A) Diminished | B) Same size | C) Enlarged | D) Point-sized


Ans: C) Enlarged


Explanation: The image is larger than the object and is therefore enlarged. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋāĻ–āύ āĻŦāĻ¸ā§āϤ⧁āϤāĻ•ā§ˆ āĻĄāĻžāϙ⧰ āĻšāϝāĻŧāĨ¤


4. Which ray rule is correct for a concave mirror ? āĻ…ā§ąāϤāϞ āĻĻāĻžāĻĒā§‹āύ⧰ āĻŦāĻžāĻŦ⧇ āϕ⧋āύāĻŸā§‹ āĻ•āĻŋā§°āĻŖ āύāĻŋāϝāĻŧāĻŽ āϏāĻ āĻŋāĻ• ?


A) A ray parallel to the principal axis reflects through the principal focus. | B) A parallel ray reflects away from F | C) A ray through F reflects towards C | D) A ray through P always retraces its path


Ans: A) A ray parallel to the principal axis reflects through the principal focus.


Explanation: This is the first principal ray rule of 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¤


5. Which statement is correct when the object is between F and P ? āĻŦāĻ¸ā§āϤ⧁ F āφ⧰⧁ P-ā§° āĻŽāĻžāϜāϤ āĻĨāĻžāĻ•āĻŋāϞ⧇ āϤāϞ⧰ āϕ⧋āύāĻŸā§‹ āϏāĻ āĻŋāĻ• ?


A) Real, inverted image at C | B) Real image at F | C) Virtual, erect image behind the mirror | D) Image at infinity


Ans: C) Virtual, erect image behind the mirror


Explanation: The image is formed behind the mirror and is virtual, erect, and magnified. āĻŦā§āϝāĻžāĻ–ā§āϝāĻž: āĻĒā§ā§°āϤāĻŋāĻšā§āĻ›āĻŦāĻŋāĻ–āύ āĻĻāĻžāĻĒā§‹āύ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧇ āĻ—āĻ āύ āĻšāϝāĻŧ āφ⧰⧁ āχ āĻ…āĻŦāĻžāĻ¸ā§āĻ¤ā§ą, āĻĨāĻŋāϝāĻŧ āφ⧰⧁ āĻĄāĻžāϙ⧰ āĻšāϝāĻŧāĨ¤


Trick


Object Between F and P → Image Behind the Mirror



  • Position: Behind the mirror (āĻĻāĻžāĻĒā§‹āύ⧰ āĻĒāĻŋāĻ›āĻĢāĻžāϞ⧇)

  • Nature: Virtual (āĻ…āĻŦāĻžāĻ¸ā§āĻ¤ā§ą)

  • Image: Erect (āĻĨāĻŋāϝāĻŧ)

  • Size: Enlarged (āĻĄāĻžāϙ⧰)


Shortcut: F–P → Behind Mirror (V E E)



  • V = Virtual

  • E = Erect

  • E = Enlarged

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