An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical representation of the magnitude of linear magnification (m) versus distance of the object from the mirror (x) is correctly given by (Graphs are drawn schematically and are not to scale)
(A)(see structure)
(B)(see structure)
(C)(see structure)
(D)(see structure)✓ Correct
Answer: (D)
Solution
For a concave mirror the magnification is m=f−uf. As the object starts just beyond the focus and moves farther away, ∣u∣ grows, ∣f−u∣ grows, and ∣m∣ falls from very large values toward zero. So the graph of ∣m∣ against object distance begins very high near the focus and decays smoothly and hyperbolically toward the axis as the object recedes.
JEE Main · 2020 · 08 Jan 2020 · Shift 2 · Single correct option