An object 4.0 cm high is placed 16 cm in front of a convex mirror that has a rad

Question

An object 4.0 cm high is placed 16 cm in front of a convex mirror that has a radius of 16 cm. Describe the location, nature (real or virtual and upright or inverted), and size of the image for this location. Confirm your result by sketching the three primary rays for convex mirrors.

Explanation / Answer

Given that R = 16 cm ==> f = R / 2 = 8 cm do = 4.0 cm We know that           1 / f = 1 / do + 1 /di ==> 1 / di = 1 / f   - 1 / do ==> di = f * do / do - f              = 8 * 4 / 4 - 8              = - 8 cm The image of the object is 8 cm behind the mirror.

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