Q68P
Question
A light bulb is 3.00 m from a wall. You are to use a concave mirror to project an image of the bulb on the wall, with the image 3.50 times the size of the object. How far should the mirror be from the wall? What should its radius of curvature be?
Step-by-Step Solution
Verified Answer
- The mirror should be 4.2m from the wall.
- The radius of the curvature should be 1.87m.
1Step 1: 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.
2Step 2: 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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