Final answer:
Using the mirror equation and magnification equation, we can determine the location and height of the image formed by the concave mirror when given the object distance, focal length, and object height.
Step-by-step explanation:
In this problem, we can use the mirror equation to determine the location and height of the image formed by the concave mirror. The mirror equation is given by: 1/f = 1/d₀ + 1/dᵢ, where f is the focal length of the mirror, d₀ is the object distance, and dᵢ is the image distance.
Given that the focal length of the concave mirror is 16.5 cm and the object distance is 11.8 cm, we can substitute these values into the equation to solve for dᵢ. Using the equation, we find that the image distance is 18.67 cm.
To determine the height of the image, we can use the magnification equation: m = -dᵢ/d₀, where m is the magnification, d₀ is the object distance, and dᵢ is the image distance. Given that the object height is 3.00 cm, we can substitute the values into the equation to solve for the image height. Using the equation, we find that the image height is -2.83 cm.
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