A 1.4-cm tall flower is 4.0 cm from a spherical concave mirror.If the image of the flower is 4.0 cm tall,how far is the image from the mirror?

Question

Quizplus · Accepted Answer

The magnification (m) of the image is given by the ratio of the image height (hi) to the object height (ho), so m = hi/ho. Here, m = 4.0 cm / 1.4 cm = 2.86. Magnification is also given by the negative ratio of the image distance (di) to the object distance (do), so m = -di/do. Rearranging for di gives di = -do * m. Substituting the given values, di = -4.0 cm * 2.86 = -11.44 cm. The negative sign indicates that the image is on the same side of the mirror as the object, which is characteristic of concave mirrors. However, since the question asks for how far the image is from the mirror, we take the absolute value, which is 11 cm.

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