High School

In front of a spherical convex mirror with a radius of 20.4 cm, you position an object with a height of 2.80 cm somewhere along the principal axis. The resultant image has a height of 0.84 cm. How far from the mirror is the object located?

A. 33.3 cm
B. 19.0 cm
C. 23.8 cm
D. 38.1 cm

Answer :

Final answer:

To find the distance of the object from the mirror, we can use the mirror equation and magnification formula. The object is located at a distance of 19.0 cm from the mirror.

Explanation:

To find the distance from the mirror where the object is located, we can use the mirror equation: 1/f = 1/do + 1/di.

Since we are given the height of the object and the height of the image, we can also use the magnification formula: m = -di/do.

By substituting the given values into these equations and solving for do, we can find the distance of the object from the mirror. In this case, the object is located at a distance of 19.0 cm from the mirror.

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