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Chapter 5: Q68P (page 1155)

Alight bulb is 3.00 mfrom a wall. You are to use a concave mirror to project an image of the bulb on the wall, with the image 3.50times the size of the object. How far should the mirror be from the wall? What should its radius of curvature be?

Short Answer

Expert verified
  1. The mirror should be 4.2m from the wall.
  2. The radius of the curvature should be 1.87m.

Step by step solution

01

Determine the position of the mirror from the wall

Use the lateral magnification for a spherical mirror

Substitute the values in the equation

Therefore, the mirror should be 4.2m from the wall.

02

Determine the radius of curvature

The position of the object is

b. Use the object-image relationship

Therefore, the radius of the curvature is 1.87 m.

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