IP A magician wishes to create the illusion of a 2.60-m-tall elephant. He plans

Question

IP A magician wishes to create the illusion of a 2.60-m-tall elephant. He plans to do this by forming a virtual image of a 47.5-cm-tall model elephant with the help of a spherical mirror.

Part A

Should the mirror be concave or convex?

Should the mirror be concave or convex?

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Part B

If the model must be placed 3.10m from the mirror, what radius of curvature is needed?

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Part C

How far from the mirror will the image be formed?

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Explanation / Answer

a.) A concave mirror can produced an enlarged virtual image

b.) We are given the magnification = m = 2.60/0.475 = 5.474

with that we can find the image postion , m= -u/v = 5.474

u = -5.474*3.1 = -16.97 m

Now 1/f = 1/3.1 - 1/16.97

So f = 3.79 m

R = 2f = 7.58 m

c.) the image be formed at = u = 16.97 m

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