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

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Question

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

Accepted Answer

1. **Sign Convention for Magnification ($m$):** * Negative $m$ ($-$) indicates a **Real** and inverted image. * Positive $m$ ($+$) indicates a **Virtual** and erect image. 2. **Magnitude of Magnification ($|m|$):** * $|m| > 1$: Magnified image. * $|m| < 1$: Diminished image. 3. **Mirror Properties:** * **Concave Mirror:** Can form Real (magnified/diminished) or Virtual (magnified) images. * **Convex Mirror:** Always forms a Virtual, erect, and **diminished** image ($|m| < 1$). 4. **Analysis of Column 1:** * **(A) $m = -2$:** Negative $ o$ Real (c). Magnitude $> 1$ $ o$ Concave mirror (b). (Only concave mirrors form real images). **Matches: b and c.** * **(B) $m = -1/2$:** Negative $ o$ Real (c). Magnitude $< 1$ $ o$ Concave mirror (b). **Matches: b and c.** * **(C) $m = +2$:** Positive $ o$ Virtual (d). Magnitude $> 1$ $ o$ Concave mirror (b). (Convex mirrors cannot form magnified images). **Matches: b and d.** * **(D) $m = +1/2$:** Positive $ o$ Virtual (d). Magnitude $< 1$ $ o$ 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.** 5. **Conclusion:** * A $ o$ b, c * B $ o$ b, c * C $ o$ b, d * D $ o$ a, d This corresponds to Option 4.

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