A magician wishes to create the illusion of a 2.84 m tall elephant. He plans to

Question

A magician wishes to create the illusion of a 2.84 m tall elephant. He plans to do this by forming a virtual image of a 51.0cm tall model elephant with the help of a spherical mirror.

Part A) Should the mirror be concave or convex?

Part B) If the model must be placed 2.50 m from the mirror, what radius of curvature is needed?
R=___________m

Part C) How far from the mirror will the image be formed?
di=______________m

Explanation / Answer

mirror should be convex. (b.)magnification=2.84/0.51=5.568 ==> v/u=5.568 u=2.5 (given) v=13.92 using 1/v+1/u=1/f we get f=-3.047 m so radius=6.094 m (c) distance of image=13.92 m

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