Practice question
Question
What ensures that a convex mirror produces an image smaller than the object at all positions?
Explanation
**Lens combination** effective focal length calculation uses reciprocal sum, for f₁=10 cm, f₂=20 cm in contact, 1/F=1/10+1/20=3/20, F=6.67 cm, P=15 D, stronger converging than either alone, illustrating power addition. A convex mirror diverges reflected rays, making them appear to come from a point closer to the mirror than the object. This divergence reduces the image size relative to the object, resulting in a diminished image regardless of the object’s distance from the mirror. Substituting values gives Divergence reducing image size, which matches expected image position and magnification from mirror/lens formula 1/f = 1/v - 1/u (lens) or 1/f = 1/v + 1/u (mirror), confirming sign conventions and refraction principles.
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