  Two students in a physics laboratory each have a concave mirror with the same radius of curvature, 40 cm. Each student places an object in front of a mirror. The image in both mirrors is three times the size of the object. However, when the students compare notes, they find that the object distances are not the same. What is the distance of the closer object?

Question

Two students in a physics laboratory each have a concave mirror with the same radius of curvature, 40 cm. Each student places an object in front of a mirror. The image in both mirrors is three times the size of the object. However, when the students compare notes, they find that the object distances are not the same. What is the distance of the closer object?

Step 1

The focal length of the mirror is,

Step 2

Here, R is the radius of curvature and f is the focal length.

The image distance from the magnification equation is,

Step 3

The distance of the cl...

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Ray Optics 