A 6.0 cm tall object is placed 20 cm in front of a convex mirror with focal -100 cm focal length.Where is the image formed?
A) 80 cm behind the mirror
B) 25 cm behind the mirror
C) 17 cm behind the mirror
D) 17 cm in front of the mirror
E) 25 cm in front of the mirror

Question

Quizplus · Accepted Answer

Using the mirror equation, 1/f = 1/di + 1/do, where f is the focal length, di is the distance of the image from the mirror, and do is the distance of the object from the mirror, we can calculate the distance of the image from the mirror. Substituting the given values, we get 1/-100 = 1/di + 1/20. Solving this equation gives us di = -17 cm. The negative sign indicates that the image is formed behind the mirror. Thus, the answer is C, 17 cm behind the mirror.

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