IP A magician wishes to create the illusion of a 2.51- m-tall elephant. He plans

Question

IP A magician wishes to create the illusion of a 2.51- m-tall elephant. He plans to do this by forming a virtual image of a 45.0-cm-tall model elephant with the help of a spherical mirror. You may want to review (Pages 923 -928) Part A Should the mirror be concave or convex? concave convex Previous Answers Correct Here we learn which geometry of a spherical mirror is needed to form a virtual, upright and enlarged image. Part B If the model must be placed 3.45 m from the mirror, what radius of curvature is needed? Submit Request Answer

Explanation / Answer

Here ,

height of object , ho = 0.45 m

height of image , hi = 2.51 m

do = 3.45 m

Using lens formula

di/do = - hi/ho

di/3.45 = - 2.51/0.45

di = -19.2 m

let the radius of curvature is r

2/r = 1/(-19.2) + 1/3.45

solving for r

r = 8.41 m

the radius of curvature is 8.41 m

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