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NEET PHYSICSMedium

Match the corresponding entries of Column 1 (Magnification, m) with Column 2 (Nature of Mirror/Image):

Column 1 (A) m = –2 (B) m = –1/2 (C) m = +2 (D) m = +1/2

Column 2 (a) Convex mirror (b) Concave mirror (c) Real image (d) Virtual image

A

A→a and c; B→a and d; C→a and b; D→c and d

B

A→a and d; B→b and c; C→b and d; D→b and c

C

A→c and d; B→b and d; C→b and c; D→a and d

D

A→b and c; B→b and c; C→b and d; D→a and d

Step-by-Step Solution

  1. Sign Convention for Magnification (mm):
  • Negative mm (-) indicates a Real and inverted image.
  • Positive mm (++) indicates a Virtual and erect image.
  1. Magnitude of Magnification (m|m|): m>1|m| > 1: Magnified image. m<1|m| < 1: Diminished image.

  2. Mirror Properties:

  • Concave Mirror: Can form Real (magnified/diminished) or Virtual (magnified) images.
  • Convex Mirror: Always forms a Virtual, erect, and diminished image (m<1|m| < 1).
  1. Analysis of Column 1:
  • (A) m=2m = -2: Negative \to Real (c). Magnitude >1> 1 \to Concave mirror (b). (Only concave mirrors form real images). Matches: b and c.
  • (B) m=1/2m = -1/2: Negative \to Real (c). Magnitude <1< 1 \to Concave mirror (b). Matches: b and c.
  • (C) m=+2m = +2: Positive \to Virtual (d). Magnitude >1> 1 \to Concave mirror (b). (Convex mirrors cannot form magnified images). Matches: b and d.
  • (D) m=+1/2m = +1/2: Positive \to Virtual (d). Magnitude <1< 1 \to Convex mirror (a). (While a concave mirror can form a virtual image, it is always magnified. A diminished virtual image is characteristic of a convex mirror). Matches: a and d.
  1. Conclusion: A \to b, c B \to b, c C \to b, d D \to a, d This corresponds to Option 4.
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