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A 3.00−cm-high object is placed 4.00 cm in front of a concave mirror. If the image is 5.50 cm high and virtual, what is the focal length of the mirror? cm

User Melquan
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Final answer:

The focal length of the concave mirror is -7.27 cm.

Step-by-step explanation:

To find the focal length of the concave mirror, we can use the mirror equation: 1/f = 1/do + 1/di. In this equation, f represents the focal length, do represents the object distance, and di represents the image distance. Since the image is virtual, the distance is negative. The given object distance is -4.00 cm and the image height is 5.5 cm. We can use the magnification equation: m = -di/do = hi/. We can substitute the values and solve for di. Once we have di, we can substitute it back into the mirror equation, along with the given object distance, to solve for f.

Using these calculations, we find that the focal length of the concave mirror is -7.27 cm.

User Oherrala
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